Daniel and Jorge talk about finding order among the messiness of the Universe, and the strange frustration of quantum spin glasses.
See omnystudio.com/listener for privacy information.
If you love iPhone, you'll love Apple Card. It's the credit card designed for iPhone. It gives you unlimited daily cash back that can earn four point four zero percent annual percentage yield. When you open a high Yield savings account through Apple Card, apply for Applecard in the wallet app subject to credit approval. Savings is available to Apple Card owners subject to eligibility. Apple Card and Savings by Goldman Sachs Bank USA, Salt Lake City Branch Member FDIC terms and more at applecard dot com. When you pop a piece of cheese into your mouth, you're probably not thinking about the environmental impact. But the people in the dairy industry are. That's why they're working hard every day to find new ways to reduce waste, conserve natural resources, and drive down greenhouse gas emissions. How is US Dairy tackling greenhouse gases? Many farms use anaerobic digesters to turn the methane from manure into renewable energy that can power farms, towns, and electric cars. Visit us dairy dot COM's Last Sustainability to learn more.
Most deals are barely worth mentioning. But then there's at and t's best deal on the new Samsung Galaxy Z Flip six featuring Flexcam with Galaxy AI. You can get it on them when you trade in your eligible smartphone, any year, any condition. It's a deal so good you'll be shouting from the rooftops. So grab a latter and learn how to get that new phone on AT and T AT and T connecting changes. Everything requires trade in a Galaxy s NOTEWORZ series smartphone. Limit time off for two hundred fifty six gigabyes for Z your dollars. Additional bees terms and restrictions apply. Seatt dot com Slash Samsung Worp has an AT and D store for details.
As a United Explorer Card member, you can earn fifty thousand bonus miles plus look forward to extraordinary travel rewards, including a free checked bag, two times the miles on United purchases and two times the miles on dining and at hotels. Become an Explorer and seek out unforgettable places while enjoying rewards everywhere you travel. Cards issued by JP Morgan Chase Bank NA Member FDIC subject to credit approval Offers subject to change. Terms apply.
Hey Daniel, where are you recording the podcast from These Days Today?
I'm in my office at the university.
Huh, kind of disappointed. Wanted you to be like at the control center of the lec or right next to where the particles collide, kind of like a sportscaster.
Nothing so glamorous, But.
I may paint a picture for us. What does your office look like? Is it like in a dark dungeon or is it at the top of the in a penthouse at the corner office.
You know, something in between. I've got a nice window here with a view outside of the southern California landscape. But it's not like the biggest office on the floor. We've got some real big shots around here.
You're more of a metium shot, small shot.
I'm a just right shot.
Hey, you're a podcast shot. Now. Is everything in your office super organized or are there like huge stacks of papers everywhere?
Well, I'm not the kind of person who's at risk for dying because his desk collapse under a huge tower of papers. But it's not exactly like a well organized museum or anything. It looks lived in, you know.
I think lived in is code for messy. I don't know what do you call something that's like halfway between being neat and messy.
Well, I'm a physicist, so I would call it a phase transition. It's like a melting point.
You're kind of like a slush like a slushy.
I'm hoping that if they crank of the ac maybe my office will organize itself into a crystal.
And deal freeze to death. Also pre serve for future generations.
But at least I'll look neat doing it.
And you'll be pretty cool too. Hi, I'm Poor. Hey, I'm a cartoonist and the co author of Frequently Asked Questions about the Universe.
Hi, I'm Daniel. I'm a professor at UC Irvine and a particle physicist who works at the large hate John Collider, And I like to think of myself as just messy.
Enough, messy enough for what before not be neat.
Messy enough to have that lucky stroke of insight, you know, when that pile of notes you took three years ago at a seminar just sort of falls into your view and provides that crucial piece of information to unlock the puzzle you're working on. If you're too neat and organized and everything's tucked away and you never have that sort of serendipity.
I see, and I assume that because you're a scientist, you have this tested, right, is a scientifically proven like you've done the control studies where you're really neat and more missy.
Yeah, I have a bunch of other Daniels in the basement and I make them be really neat and messy, and I keep track of their careers also.
And I guess you're the most successful one because you're not at the basement, right, so that proves your theory.
I guess I'm the only one with a podcast, which maybe means I'm a failure as a scientist. I'm not sure.
The other ones are actually doing physics. Is that what you're saying?
They're still doing research exactly.
But anyways, welcome to our podcast. Niel and Jorge Explain the Universe, a production of iHeartRadio.
In which we try to find order in this messy universe, this chaotic swirl of particles going to and fro weaving themselves together into this incredible, beautiful reality that we want to make sense of. While galaxies smash into each other and particles annihilate each other, we step back and try to organize all the things that are happening out there in the universe into a crystalline set of ideas that we can transmit along these audio waves into your brains.
That's right, because it is a pretty messy universe full of amazing and exciting things happening out there. Are particles crashing into each other's black holes, sucking up things. And yet somehow we have as humans figured out that there is a little bit of an order to all of this, even if we aren't very ordered ourselves.
And of course we don't know if that order exists in the universe or if it's just something we have imposed on it. Does the universe actually make sense? Or are we just telling ourselves these stories? A one question in the philosophy of physics, But so far it works for us. It lets us build airplanes and transistors and all kinds of new materials that ruin and save our lives.
Are you saying the universe is just messy enough?
I'm saying it melts my brain sometimes.
Melts in your mouth all that knowledge.
I wonder what it would you like if the universe melted in your hand instead of your mouth.
Well, first of all, can you hold the universe in your hand.
Only if it has a thin candy coating, right.
But you are in the universe. Also put in your hand the inside the eminem two.
We are all eminem's. That's the philosophy on this show.
But are you the chocolate or are you the candy? And which color is your mine?
Knowledge is the chocolate, and this show is the candy coating that helps it go down smooth.
Keeps it from melting in your mouth or in your hands.
Exactly as you crunch on through it, or in your ears.
That would be pretty messy. You don't mind melt the chocolate in your ears.
Are you suggesting people do or do not put eminems in their ears? That's sort of lost track here.
I know children do, and we have kids listening.
Are you saying you know the results of that experiment that if you what eminems in your ears, they do not melt.
I can guess what happens.
The thing it's science is not about guessing. It's about going out there and doing experiments and discovering what actually happens when you make new arrangements that nobody's ever thought of before. Sometimes it's adding weird metals to other metals. Sometimes it's putting eminems in ears.
That's right, because we know the universe is made out of particles and bits of energy out there. But as it turns out, there are lots of different ways you can put together those bits of matter and energy and which gives you all kinds of different results.
And there are people still figuring this out.
You know.
I'm a particle physicist, so my natural inclination for understanding how the world works is to take it apart, is to reduce it to its smallest, most fundamental elements. But there are other people who work in a completely different direction. Their basic question is how do we make some new kind of goo? And can we make goo that can do things that go never did before? They combine those fundamental pieces of the universe in new ways to try to make them dance and jiggle and do things that no other kinds of goo have done before.
Yeah, because there are many different ways that matter can arrange itself. They're called states of matter, right. There's liquid and gas and solids and plasma. Right, those are the states of matter that we know of.
Those are the famous classical states of matter. But as we explore the universe and push on these things, we discover the matter can do all sorts of weird kinds of things. We talked on the podcast recently about quark gluon plasma or you called it quasma.
A great name by the way. Yes, I'm still waiting for my Nobel Price.
Well, just keep eating banasma as you wait. Yeah.
Yeah, that might slip with the Noble Price Committee.
But it's amazing to me all the things that emerge in our universe. You know, one deep answer to the question what is the universe made out of? Is to reveal its fundamental bits. But I think it's equally important to understand what those bits do when they work together, because you can't explain the entire universe from the fundamental pieces. Even if you had a complete and unique string theory that described the fundamental theory of everything, you couldn't use it to predict hurricanes or traffic on the four h five because these are properties that emerge at a different scale. When you zoom out from the universe from this hin these little bits, you notice these incredible properties places where we find these interesting and simple mathematical stories that we can tell about the universe, whether or not they are fundamental.
Yeah, So there are these four basic states of matter that most people are familiar with solid gas, liquid plasma, and we're I guess they're popular and people know them because we see them in our everyday lives. Right, they're sort of what how matter usually sticks together, But as you were saying, there are many other ways that matter can stick together if you go down into the weirder realm of quantum physics.
Yeah, if you stick things together in weird ways and zap them with lasers, you can find stuff that does things that no other kind of stuff can do. You've probably heard of Bose Einstein condensates, for example, weird collections of particles that act all together as a single quantum star eight, a macroscopic blob of stuff with quantum properties. That's another example of how you can squeeze and tweak matter into weird configurations to do new kinds of.
Stuff and new kinds of stuff is what we'll be talking about here today. So today on the podcast, we'll be asking the question what are quantum glasses? Now, Daniel, I'm guessing these are not just things you wear to see quantum things better.
When we go to a quantum physics conference, everybody puts these things on it's like going to a three D movie.
Right, it's for curing quantum myopia? Is that what it's there for? Or are they for drinking quantum wine or juice? Quantum juice?
So you can say, I'm not sure if I drink that glass of wine or if somebody else did schroding or drink my glass of wine.
I'm any glasses of quantum? Have you drunk today? One and zero at the same time.
There's a probability distribution that I'm drunk quantum glasses.
So these are two I'm familiar with, but I've never seen them together in the same phrase.
These are a really interesting kind of material. Sometimes they're also called spin glasses, as we'll learn about later, because they involve quantum spin. So it's a really fun topic and something a bunch of listeners have been emailing me about because they saw articles about spin glasses and quantum glasses and they wanted to understand, Hey, what are these things anyway interesting?
And can you make a spin bottle out of glass? Is that the same thing I think you're thinking of the game Spin the Boss Spin Right? Well, as usual, we were wondering how many people out there had heard of this phrase quantum glasses or had any idea of what they are.
So thank you very much to those of you who are willing to answer these questions. It's really helpful to give us a sense for what people are thinking and what they already know. If you'd like to participate for future episodes, please don't be shy. Write to me too questions at Danielantorge dot com and I'll set you up.
So think about it for a second. What do you think quantum glasses are? And what could you see?
What?
He would be glad to say.
Quantum glasses, I guess, are not spectacles to you through, but they should be a kind of material. In material science, glasses are a class of material that are characterized by being very disorganized. So quantum glasses should be a quantum soup that is disorganized.
I have no idea. I don't think they are the tiny little reading glasses that some people perch on the end of their nose. Nor are they the tiny little shot glasses one might use for very strong drink. Even those are not quite quantum level, and one should use distance glasses, if any, rather than reading glasses, and not drink alcohol while driving a Volkswagen quantum. So I'm going to take a wild guess that there's something that refocuses beams of quantum particles, much like how eyeglasses and other such lenses refocus beams of light.
Absolutely no idea what quantum glasses could be, so this is going to be a completely uneducated guess in every way. My mind originally went to glasses like glasses you wear, but then I also thought of glasses as like a container for a liquid. So my guess is that it is some type of container through which we can better observe quantum events events on a quantum scale.
I think quantum glasses is a system physicist use to negotiate quantum theory. Either that or it's the glasses I used to use when I was a heavy drinker.
I take a guess quantum glasses helps you see shortting girl's cat exactly what that cat is doing, and it's no whereabouts.
If I was to deduce, I reckon it's some way of being able to utilize something to review or to assess the way that the quantum world is behaving, similar to how spectacles some lady to say the world. I wonder if that's not something to do with our ability to see or interact with the quantum world.
All right, a lot of interesting ideas.
I love the tiny, little reedy glasses.
They're like the little quantum particles you put in your eyeballs. Is that what they're saying.
No, I'm imagining like little tiny glasses perched at the very very tip of.
My nose m and they're there and they're not there at the same time.
But I'm most impressed with this one guest that says glasses are disorganized. So maybe quantum glasses are a disorganized quantum soup that is so close to correct. I'm amazed.
Yeah. Yeah, I feel like maybe they cheated or something. I wonder if they read an article about this.
I don't know the rules are. You're not allowed to google, so you know, maybe they just intuited it. Maybe this person just is a physics genius.
Wow, maybe you should be hiring them, or maybe you already hired them. I don't know. Did you ask your grad students?
Sometimes I do sometimes, But these are all random Internet people. Although you know, some of our listeners are physics grad students and some of them aren't, So there's a pretty wide spectrum of backgrounds.
Yes, in the end, we're all random Internet people, Daniel. But anyways, lots of great ideas, and so let's dig into it. What is a quantum glass? Daniel will break it down for us.
So basically, our listener gave us the answer. A quantum glass is a material where the quantum states are disordered in a way. That's similar to why like a window glass is a disordered solid rather than like an ordered crystal. You know. That means that things on the inside are not like arranged, so everything points in the same direction. It's sort of scrambled a little bit.
Hmmm.
Interesting because I guess bits of matter, atoms, and quantum particles they have a specific direction, aren't they just like little blobs?
They do have specific directions because they have quantum spins, right, and Luxurians are not just tiny particles with charge and mass. They also have other quantum properties, including this weird thing quantum spin that we don't fundamentally know what it is. We don't think that these electrons are actually spinning because we think of them as point particles. And even if you account for the width of their wave function, if they were literally spinning, then their surfaces would have to go faster than the speed of light to explain all of this energy. It's some other weird property. And we have a whole podcast episode about what is quantum spin, But for today, all we need to know is that it can have a direction. Electrons can be like spin up or spin down, and this is true for other particles protons and neutrons and even for atoms can have an overall spin, so that gives them a directionality. They're not just points.
Right, they have a property that somehow points in a certain specific direction in space. And you said it's just sort of like normal glass too, Like, maybe let's start with that. What is a normal glass?
Yeah, so normal glass is something that feels solid, like you go to your window pane and you touch it, it feels so right. But most solids out there are not like glass. Most solids are ordered. They're organized like a crystal. You know. They're sort of like built out of a bunch of tiny bricks that are all stacked together very nicely and neatly into like a big cubic lattice. You could think of them as like a bunch of atoms, where the atoms all line up in three directions. You know, if you like sort of looked down it, you could line up all the atoms sort of like in front of you and then along the surface and this kind of thing. So most stuff that's out there is fairly well organized, but a glass is not. A glass is just sort of like a pile of stuff that's stuck together, but it's not well organized.
What do you mean. You mean, like, my wooden desk is neatly organized, but it looks pretty messy.
Your wooden desk is even more complicated because it has all sorts of structure in the wood itself. But you know, if you take it like a block of ice, it's a single kind of stuff. It's cold, and the atoms inside of it are arranged in a lattice. It's like the distance between two atoms is pretty much a single number. And that's true for most things like metals, et cetera.
But they're both solid, right, Like a piece of glass is solid, just like a piece of ice is solid too.
That's right. A piece of glass is solid because its volume doesn't change and its shape doesn't change. They built just sit there, right. But if you zoomed in with a microscope, an amorphous solid like glass, would look very different from a crystal solid, a crystal slid. You would zoom in and it would look like it's built out of these little pieces that are all arrange very nicely, like somebody stacked a bunch of legos together, whereas an amorphous solid would look like, you know, the inside of your lego bin. Before you build something, it would be like a disorganized pile of stuff that's still somehow stuck together. And you know, glass is an example of it, and then we call these things glasses, but there are other examples, like a lot of plastics are like this, gels are like this. You know, sand is like this. If you zoom in close enough, it's not like stacked up in little bricks. It's just sort of like a big jumble. But you're right, it is solid. It manages to stick together well enough still have the properties of a solid.
Right, Although I've heard glasses actually a liquid, like a really slow liquid, right, isn't it?
That is something that is said often, but I don't think it's actually true. I think the people have been misled by old windows, for example, that are thicker on the bottom than on the top. But that's mostly because of the glass making process at the time. Glass itself, I don't think actually flows on a timescale the humans can measure.
But on a long timescale it sort of does.
Right, technically, It's true that these things can flow on very very long timescales, But most of the things where you see it's like thicker on the bottom than on the top is not because the glass has flowed. It's a little bit unclear exactly what the timescale is for a glass to flow into a puddle, for example. It might be a very very long timescale.
Well, I guess maybe a question I have is what's the difference between something that is a glass and something that is not a glass? Like what makes some materials arrange themselves into crystal structure lattices and what makes them just stick together amorphously.
The answer is that is complicated. For some materials depends on how they are cooled. So if you cool things really really fast, they don't have a chance for the crystal to organize itself. Other materials just don't fall into a crystal because of the way their interactions work. They like can't build a regular lattice. So it depends a lot on the exact material, and also on how you get it to its state. So some things can be crystals or can be glasses, and it just depends on how quickly they are cooled down.
Doesn't a lot of it also depend on like the structure of the molecules in the material. For example, I know, like maybe I think water falls into crystals because the two h's and the O kind of form a kind of a weird shape, and there are only so many different ways you can kind of make those shapes stick together.
Yeah, that's what I mean by the interactions of the materials. Imagine, for example, you have a weird shape tile. A question you can ask is like can I tile this across the floor in a regular pattern? And that's basically what you're trying to do when you build a crystal, is like fill up a space with a regular pattern with a weird shape that you have. So as you say, for example, water has kind of a weird shape, but it's capable of building crystal. But actually it can build lots of different kinds of crystals based on the temperature and pressure of its formation. There's like ice four and ice six and ice nine. These are all different crystal arrangements. Of the same basic thing based on the temperature and the pressure and the conditions in which it was formed. So it's a really complicated question.
Yeah, And I think it also depends on what makes the molecules stick together, right, Like in H two. It could be the forces between the o's for example, I'm just giving a random example, or it could be you know, the forces between the h's and things like that, right exactly.
And some parts of it are stickier than others, right, depending on the energy levels of their electrons. So it's something that's not always easy to predict. Sometimes the best way to figure it out is just to try it, is just to go out and see what happens. So we have people whose entire careers are just like mapping out the phase diagram of various kinds of materials, understanding what it does under certain configurations.
I think maybe the takeaway is that sticks together in general, and there are there are many different ways for it to stick together. And sometimes they stick together in regular patterns like in a grid, and sometimes they just kind of bundle up like randomly, right, And that's what a glass.
Is mm hm, and glasses is an example of this category. You also have like plastics and polymers and foams and gels. These all follow the same kind of structure as glasses. They are amorphous rather than crystalline.
Right, and those are in the macro scale. There are morphous materials kind of like the atom level, right, we're not yet at the quantum level.
Yeah, these are things at the atom level exactly.
So then you're saying a quantum glass is a material in which stuff is stuck together, but it's a morphous in its quantum states.
Yeah, And I predict you're going to be pretty unhappy with this distinction about what's a quantum state or not, because in the end, all of these interactions are quantum. Like when two water molecules touch each other and form part of a crystal, that is a quantum interaction between quantum particles. But when we talk about quantum glasses, we mean that we're adding a new dimension to it, that we're considering another quantum property, in this case quantum spin, because we're not interested in how the objects order themselves in space. We're interested in the distribution of these spins. Are the spins ordered or are the spins disordered?
Well, I guess maybe a distinction is that like, for example, for water and ice. I mean, you're talking about atoms being in a kind of a lattice, right, And atoms themselves don't have spin, or you know, isn't it like the electrons and the atoms and the quarks and the atoms that have spin, not the atom itself.
The atoms themselves do have an overall spin. It comes from adding up the spin of all the bits, the nuclear spin, the electron spin, and that's what's important for forming magnets, for example, is the spin of the whole atom. It adds up, so we do think about the spin of the atom itself, not just the electrons inside of it.
All right, well, let's get more into it and explain what exactly is a quantum glass and whether or not we've actually seen them and can touch them and maybe use them to read quantum books. So let's get into that up. But at first, let's take a quick break.
With big wireless providers, what you see is never what you get. Somewhere between the store and your first month's bill. The price you thoughts you were paying magically skyrockets. With Mintmobile, you'll never have to worry about gotcha's ever again. When Mint Mobile says fifteen dollars a month for a three month plan. They really need it. I've used Mintmobile and the call quality is always so crisp and so clear. I can recommend it to you. So say bye bye to your overpriced wireless plans, jaw dropping monthly bills and unexpected overages. You can use your own phone with any Mint Mobile plan and bring your phone number along with your existing contacts. So dit your overpriced wireless with Mint Mobiles deal and get three months a premium wireless service for fifteen bucks a month. To get this new customer offer and your new three month premium wireless plan for just fifteen bucks a month, go to mintmobile dot com slash universe. That's mintmobile dot com slash universe. Cut your wireless bill to fifteen bucks a month. At mintmobile dot com slash universe, forty five dollars upfront payment required equivalent to fifty teen dollars per month new customers on first three month plan only. Speeds slower about forty gigabytes on unlimited plan. Additional taxi speed and restrictions apply. Seement Mobile for details.
AI might be the most important new computer technology ever. It's storming every industry, and literally billions of dollars are being invested, so buckle up. The problem is that AI needs a lot of speed and processing power, So how do you compete without cost spiraling out of control. It's time to upgrade to the next generation of the cloud. Oracle Cloud Infrastructure or OCI. OCI is a single platform for your infrastructure, database, application development, and AI needs. OCI has fourty eight times the bandwidth of other clouds, offers one consistent price instead of variable regional pricing, and of course nobody does data better than Oracle. So now you can train your AI models at twice the speed and less than half the cost of other clouds. If you want to do more and spend less, like Uber eight by eight and Data Bricks Mosaic, take a free test drive of OCI at Oracle dot com slash Strategic. That's Oracle dot com slash Strategic Oracle dot com slash Strategic.
If you love iPhone, you'll love Apple Card. It's the credit card designed for iPhone. It gives you unlimited daily cash back that can earn four point four zero percent annual percentage yield. When you open a high yield savings account through Applecard, apply for Applecard in the Wallet app, subject to credit approval. Savings is available to Applecard owners subject to eligibility. Apple Card and Savings by Goldman Sachs Bank USA, Salt Lake City Branch, Member FDIC terms and more at applecard dot com. When you pop a piece of cheese into your mouth or enjoy a rich spoonful of Greek yogurt, you're probably not thinking about the environmental impact of each and every bite. But the people in the dairy industry are. US Dairy has set themselves some ambitious sustainability goals, including being greenhouse gas neutral by twenty fifty. That's why they're working hard every day to find new ways to reduce waste, conserve natural resources, and drive down greenhad house gas emissions. Take water, for example, most dairy farms reuse water up to four times the same water cools the milk, cleans equipment, washes the barn, and irrigates the crops. How is US dairy tackling greenhouse gases? Many farms use anaerobic digestors that turn the methane from maneuver into renewable energy that can power farms, towns, and electric cars. So the next time you grab a slice of pizza or lick an ice cream cone. Know that dairy farmers and processors around the country are using the latest practices and innovations to provide the nutrient dense dairy products we love with less of an impact. Visit us dairy dot com slash sustainability to learn more.
All right, we're talking about quantum glasses. Are these like X ray glasses that let me see through things?
They'll let you see immediately to the next big discovery in physics?
I wish isn't it just called working?
What if I could just put on quantum glasses and look at my calendar and be like, that's the day you're going to make a big discovery.
Oh what would you do? Would you work harder or less? I mean, you were going to make a big discovery next week?
Well, I know that napping is a crucial part of making big discoveries, so make sure to get that out of the way.
First, right, right, But would you not more or less if you knew your future?
Well, in future, Daniel would have already have seen his future using quantum glasses, so that would be accounted for, sort of like Harry Potter time travel All.
Right, right, I guess you're saying you don't have any free will.
That's right. I'm completely determined by my calendar. I just do whatever it says.
That's right. Your naps are determined by your future self. It's not your fault.
If I put make huge discovery into the calendar, then I have no choice. I have to make a huge discovery that day.
Right, Yeah, that's what I'm saying. But I'm saying, like, how would it affect your presence choices?
I would type that into my calendar a lot of times.
But anyways, we're talking about quantum glasses and what they are, and we talked about how a glass is a material in which all of the bits in it are kind of just ordered, amorphous, not in any kind of grid or structure, and the same can be said for quantum materials.
That's right. And traditionally when we talk about glasses, we talk about disorder in the location of the atoms, so if you zoomed in with a microscope, you would see like a big pile of stuff rather than a nice, crisp organized lattice. But now we're talking about something else. We're talking about quantum properties of these objects. So you can have something which is a nice organized lattice in space, like a grid of atoms that are perfectly organized, but it can be a quantum glass if their quantum properties are disorganized, if their spin, for example, so their magnetic moment is not organized in a very nice way.
Whoa.
So it's almost like something you layer on top of other materials, this idea. It's like, you know, we have this traditional distinction between glasses and crystals, but that is sort of irrelevant here, right. What counts is whether or not the quantum states are aligned in a pattern or not.
Exactly whether it's a quantum glass on its quantum states, not the spatial locations. And here mostly we're talking about things which are physical crystals. You know, their atoms are nicely arranged in a grid, but the quantum states of those atoms in the grid are sort of scrambled. And you know, traditionally, if you have stuff in a grid, the magnetic fields can be nicely aligned. So the ferromagnet, for example, is something where all the atoms have their spins in the same direction, which is what controls their little magnetic moments, And it all adds up to be a big magnet. So if you have a fridge magnet, for example, like a nice piece of iron that's been magnetized, as all of its spins in the same direction, they all add up together that make like a permanent magnet. That's a ferromagnet. That's not a quantum glass because the spins are all nicely organized.
M n see right, that's what a magnet is. Right. A magnet is usually metal crystal where all of the atoms in it have the same spin direction, which kind of like I guess, synchronizes them and makes them add up to a giant kind of spin or magnetic pole.
Right. And one reason that's possible is because the spins like to align with each other. In a ferromagnetic material, that's the relaxed state, that's the lowest energy states. When the spins are pointing in the same direction, it likes to be that way. There are other kinds of material, like anti ferromagnets, where they prefer the spins to be the opposite directions. Where you want your neighbor to have the opposite spin is you. And because of the way these molecules interact and their funny shapes and all their forces between them, that happens to be the lowest energy state. That's the opposite anti ferromagnet, where you have a crystal, but it's like spin up down, up down, up, down, up down. Both of these are examples of well organized magnetic lattices.
Interesting and does that apply only to metals like magnet metals? Like can I take a block of ice and align all of the magnetic spins in the atoms of water in a block of ice to make it magnetic?
You can't do that with a block of ice. No, a block of ice is not ferromagnetic, and it's also not paramagnetic. Paramagnetic are materials that are sort of weakly magnetic, and if you put them in a magnetic field, they will eventually align, but then when you take the magnetic field away, they might lose it. But ice is neither of those.
Why not Why can't I just, you know, somehow arrange my water molecules so that all the spins are aligned.
It depends on how the bits of the atom are organized, So it depends sort of like on the overall spin of the atom. We were talking earlier about having like spins on the electrons and spins on the nuclei. If those sort of all add up to an overall small amount of spin, then there's not really much to play with there. But if they come together in a way that makes like a large magnetic dipole for the individual atom, then you have spins that can get aligned. And so that's sort of what's different between some materials which are like ferromagnetic because they can be aligned, and other materials that are not.
Do you seem like in something like a water atom or molecule, all of the electrons and all the quarks in it are not easily or readily aligned. They like to kind of be in random positions but sort of cassels their spin out.
Yeah, And some of these materials, for example, electrons want to be opposite spins so that they cancel out, and other materials they're set up in a way that electrons can all be in the same spin, so you have an overall spin to the atom m.
And so that's the difference between a material that can form a magnet and one that cannot.
That's one of the differences. This whole thing is very complicated and it's difficult to make like broad generalizations, but that's sort of like the cartoon picture why some things can be magnetic, and some things cannot, all.
Right, So maybe tell me more about these anti ferromagnetic materials.
So the anti ferromagnetic materials are the ones where they like to be opposite, where every neighbor prefers to be the opposite of the other, And it just depends on their interactions whether that's the lowest energy state, so they like to be up against each other, or whether they like to be aligned with each other. They like to be aligned with each other. It's a ferromagnet. They like to be opposite with each other, it's an anti ferromagnet. Imagine like a big sheet of these atoms. If you want them to be all aligned, is an easy way to do that. You spin them all up or spin them all down. Right, if you want them to be all antiligned, there's still a pretty easy way to do that. On a square lattice, and every other one is up and every other one is down, so up down, up, down, up down. And you can imagine covering an entire plane or even a three D grid, where every atom's neighbor has the opposite spin as it does. Right, So if you're up, then you see down everywhere around you. In the lattice, and if you're down, you see up everywhere around you in the lattice. So there's a way there to make an overall relaxation where everybody's in their lowest state and everybody's happy.
I guess I got a little confused, because I think basically, like all materials is kind of a quantum glass, right, Like ice is sort of a quantum glass because it's quantum spins are in all kinds of directions, right, Like my hand is a quantum glass in that sense of the definition of it.
I suppose, so iceen an example, has sort of negligible quantum spins compared to the kind of things we're talking about here, so it's not really in the category of things that we're discussing. We're talking about material that do have quantum spins. Do they like to be aligned or do they like to be anti aligned? And can you make the material in such a way that the whole thing is happy overall, the whole thing is relaxed into its lowest energy state, either in ferromagnets by lining up all the spins or anti ferromagnets by flipping all of the spins. Right.
But I think you're talking now about like, let's post a little challenge for ourselves. Let's say if you can find material that you can arrange in a crystal, in a lattice, in like a grid, but somehow also make all those spins differently or randomly directed.
Yeah, so a spin glass is a kind of material where the spins can't all relax, where you can't find a configuration where everybody's happy. We talked a minute ago about anti ferromagnets, where things like to be the opposite spin of their neighbor. And that works in a square lattice, right, where you have like a neighbor to both sides and above you and behind you and in front of you. What if, for example, you have like a triangular lattice instead of a square lattice, and so you have like two neighbors. Imagine just points on a triangle. You label one point up, the next one down. What's the third point going to be? It wants to be down because it has one up neighbor, and it wants to be up because it has one down neighbor. So it doesn't know where to go right. It can't satisfy both of its neighbors at the same time.
Wait, you're saying, I guess that these anti ferromagnetic I guess atoms or molecules, they're sort of like contrarians, Like if their neighbor is up, they want to go down right, And if they have two neighbors that are up, then they want to go down. I guess two questions. First of all, why are they so contrarian?
Hey, some people just can be grumpy, and you shouldn't ask too many questions, you know. It depends on the complicated interactions between the atoms. Atoms are not simple. Objects have a spatial extent, and they're sloshing around. They have all their internal forces. You're closer to some bits of it than to other bits of it. And the spins of these objects interact right, and some of them like to be spin up and some of them like to be spinned down. I guess the short answer is that it's really complicated, and sometimes it even depends on distance. Like if you're close up, then they like to have the same spin, and as you get further away, they like to have the opposite spin. And then as you gave them further away, they like to be the same spin. Again, it's really complicated and depends on a lot of the details of exactly the internal arrangements of each atom or molecule.
I see, but is it I guess kind of like a magnet, right, Like if I have two magnets and they're both, you know, have the same north pole pointed in the same direction, I bring them together, like one of them will want to flip over so that it's opposite the other one. So I kind of like the good analogy or maybe even the same thing.
That's the same thing for the anti ferromagnets, right, except here we're talking about spins, but it's very similar. You know, the minimum energy state there is for one north pole to be aligned with the other magnet's south pole, and if you try to push in the other direction, it's going to take some energy to keep it there, and if you let go, it will relax into the configuration where they have the opposite directions, where the north pole one magnet is aligned with the south pole of other magnets.
Okay, so now I think what you're saying is, you know, we have these materials, these atoms that are contrarying, and they like to be opposite the spin of its neighbors. So now what happens, and if I put two upspins next to it, it's gonna want to be down spin. But what happens if I put an upspin and a down spin next to it? It gets a little confused, right, or frustrated?
Yeah, exactly, And that's what physicists call it. They call it a frustration when you can't arrange the spins in a way so the whole thing has minimum energy. Right, in a square lattice, imagine four points on a square could have like the top left be up, on the bottom right be up, and the other two points be down, and everybody's happy because all the downs have only up neighbors and all the ups have only down neighbors. But in a triangular lattice, you can't do that, right, the third point has one up neighbor and one down neighbor, and it can't decide which way to go. There's two possible states there that have the same energy, and neither of them are like the minimum energy.
Right.
It's like having a conversation between three people and one of them is their contrarian. What happens that one of the other people agrees with them, but the other one does not. What does the contrarian do exactly who to disagree with.
And so this is what a spin glass is because the spins end up sort of like disorganized. It's not like a ferromagne where they're all point in the same way, or an anti ferromac in a square crystal where they're all pointing opposite directions. It's kind of a disaster, right. So like tense, it's frustrated, it can't quite relax, and so where the spins end up is a little bit random.
Oh interesting, So you're saying that part of the definition of what a quantum glass is is that kind of frustration built into it. Like if I build the lattice with contrariant atoms and everyone's contrary to their neighbor, then it's and everyone's happy. Then that's not a quantum glass.
Right exactly, that's just a normal anti ferromagnet crystal.
But if you can somehow frustrate the atoms, then you have a quantum glass. Because I guess everyone's frustrated and what constantly flipping back and forth is that kind of what happens.
Yeah, everyone's frustrated, it can't find the minimum and it has new weird properties. So when we talk about a phase transition that has to be like a change in how the material operates in one of its properties. Right, we don't say that cold water and hot water are different phases, even though they are chemically different, because there's no like large change in its macroscopic behavior. So for years or even decades, there was an argument about whether spin glasses really are their own phase of matter. And the people who say that it is its own phase of matter, they argue that it's unique because it has weird relaxation times. Like if you take a ferromagnet or an anti ferromagnet and you apply a really strong magnetic field and you sort of mess up the spins, it will relax pretty quickly when you take away the magnetic field. But a spin glass, if you do that, it'll react really differently. It'll take like forever to relax and it'll never come back to its original position. So people argue that that's enough of a different macroscopic property to be its own kind of thing.
What do you mean it takes a while, like the items keep switching back and forth or what there's like turmoil inside of the material.
Yeah, they have like decision paralysis. You know. It's like if you go to the cookie aisle and there's like a thousand cookies and your shopping list just says cookie. You're like, uh, oh, do I get oreos? Do I get chips? A hoy?
Oh?
Look at those fudge ones? Oh no, I can't decide what I want and they all seem equally good. You could spend hours there wandering around, switching, you know, taking stuff in and out of your basket, not sure what to actually buy. And so spin glasses are sort of like this. If you perturb them, you give them magnetic energy, you put them in a magnetic field, and then you take it away. They take a long time sort of sloshing back and forth, spins, flipping and then flipping other spins. They can't find a comfortable situation to relax in.
But I guess, isn't spin a quantum property, meaning like each atom has a spin that's both up and down, like they win a particular direction. Wouldn't that sort of collapse the wave function of that quantum state?
Oh yeah, really interesting question. It's true that spin is a quantum property, which means both that it can either be up or down, but not like in between, right, when you measure these things, you either get up or down. But it means that until you measure it, it's not necessarily de ermined. So what that means is that the whole thing has like a few different quantum states that are all possible. Or we're talking about is what happens when you measure it. Right, So you probe this thing, you ask like, what's the spin over here? What's the spin over here? What's the spin over here? And you're right, that will collapse the wave function, so that everybody's going to make a decision. But you come back another minute later and it's made a different decision, and you come back another minute later, it's made another decision. So you never really see it settle and relax into a fixed state.
Right, So when you're talking about like this turmoil, all the contrarians can not being able to decide which way they're being controlling about. It's more of like a quantum turmoil, right, Like it's not actually flipping back and forth, and it's not like you're at the cookie aisle trying to decide. It's like you're sort of in this state where you're decided and not decided.
No, I think it really is decided or not decided. I mean, you can take pictures of these things essentially using like skinning, tunneling, microscopy or other ways to probe the magnetic field, so you can collapse these wave functions and you can see them evolve over time, so you can see these things really are flipping. It's not like once you've collapsed the wave function, then it's happy and it's going to stay there. You can collapse the way function, you can come back and collapse it again and then again and again. You can see that they are flipping their spins. So that's the interesting property about spin glasses is that they have these really long relaxation times. They're basically never in equilibrium. You know. Another way think about it is like say you sit down at a really long banquet table and there's silverware to your left and to your right. Do you take the one to your left or do you take the one to your right? You know, if everybody takes to the left, everybody's happy. If everybody takes to the right, everybody's happy. If people are arguing, you know, no, that one's mine, that one's mine, then you know you can't really settle into a comfortable state. So spin glasses are situations where like people can't agree about what the rules are and so everybody's just taking whatever silverware.
Well, then you say, eventually it settles down, and so what does it settle down into solid force or main course?
For That's the interesting thing about spin glasses is that it's very hard to predict. You know, when we try to understand the macroscopic properties of these things, we do so by starting from the microscopic we say, okay, crystals made of these little bits, and then we expand our understanding from that basis stacking them together to make the macroscopic properties. That's really hard to do with spin glasses because they're so crazy and unpredictable. They're basically never in equilibrium. So a lot of the mathematical tricks that we use to understand crystals don't really work for spin glasses, which led to like invention of whole new categories of mathematics.
Hmmm. Interesting. All right, Well, let's get into those new categories of maths and what these materials are good for and what we can.
Learn from them. But first, let's take another quick break. When you pop a piece of cheese into your mouth or enjoy a rich spoonful of Greek yogurt. You're probably not thinking about the environmental impact of each and every bite, but the people in the dairy industry are. US Dairy has set themselves some ambitious sustainability goals, including being greenhouse gas neutral by twenty to fifty That's why they're working hard every day to find new ways to reduce waste, conserve natural resources, and drive down greenhouse gas emissions. Take water, for example, most dairy farms reuse water up to four times the same water cools the milk, cleans equipment, washes the barn, and irrigates the crops. How is US Dairy tackling greenhouse gases. Many farms use anaerobic digestors that turn the methane from maneuver into renewable energy that can power farms, towns, and electric cars. So the next time you grab a slice of pizza or lick an ice cream cone, know that dairy farmers and processors around the country are using the latest practices and innovations to provide the nutrient dense dairy products we love with less of an impact. Visit us dairy dot com slash sustainability.
To learn more with the United Explorer Card, earn fifty thousand bonus miles, then head for places unseen and destinations unknown. Wherever your journey takes you, you'll enjoy remarkable rewards, including a free checked bag and two times the miles on every United purchase. You'll also receive two times the miles on dining and at hotels, so every experience is even more rewarding. Plus, when you fly United, you can look forward to United Club Access with two United Club one time passes per year. Become a United Explorer Card member today and take off on more trips so you can take in once in a lifetime experiences everywhere you travel. Visit the explorercard dot com to apply today. Cards issued by JP Morgan Chase Bank NA Member FDIC subject to credit approval offer subject to change. Terms apply.
There are children, friends, and families walking, riding on paths and roads every day. Remember they're real people with loved ones who need them to get home safely. Protect our cyclists and pedestrians because they're people too, Go safely. California from the California Office of Traffic Safety and Caltrans.
Hey, there, it's Ryan seacrests for Safeway. After a summer of fun, it's time to get your home ready for fall. There's nothing better than stocking up on all your favorite household items and saving now through October First. Shop in store or online for items like Crest Value Packs, Vix Day Quill and Niquo Combo packs, Pampers, baby wipes, head and shoulders, bare and Swift for pet kits. It's the perfect time for some last minute summer savings. All for ends October First. Promotions may vary. Restrictions apply. Visit safeway dot com for more details.
All right, we're talking about quantum glasses, which is one of our listeners said, is where you take shots of quantum whiskey or tequila.
One electron at a time. Man, it's quantam that'll take forever to get drunk. That's the point man, moderation in all things.
I see one atom at a time. All right, So it sounds like there are materials you can put together in a crystal that are unhappy basically at their core because all of the atoms can't find a good arrangement of their quantum spin. Everyone is sort of in this state where they don't know whether to go up or down in their spin, and so you create material with a lot of frustration in.
It, exactly. And a lot of these spin glasses are not just like one kind of material in a lattice where they're all contrarians and it's arranged in a way where they can't be happy. A lot of the times. It's a few examples of something that is magnetic inside a larger crystal. So you'll have like a non magnetic material like gold or silver or copper, and you sprinkle into it a few percent of magnetic atoms iron or something else. And because of their interactions depend on the distance, whether they like they have the same spin or the opposite spin, depends on how far apart they are, you can end up with these disordered spins.
You're saying, that's how you make a quantum glass. You embed magnetic atoms into a regular metal.
Exactly, and then you cool it down and you see, like, how are they frozen in?
Hmm? Interesting, Like you bake in the frustration of the magnetic atoms.
You freeze it in. Yeah, exactly.
All right, Well, I guess a good question for me is what are these materials good for? Or why are we interested in them.
So these things don't have an immediate practical application. It's not like with spin glasses you can make quantum computers, or you can build a better transistor, or you can take tiny shots of hot cocoa or something like that. There's no immediate application. But it's an interesting and tricky problem, and so people have been thinking about it and you know, sweating over it and trying to figure out, like, can we describe these things mathematically? Is there some way to figure this out? I mean, this is one of the deep questions of physics itself, you know, because again, since we don't have the fundamental theory of everything, all the theories that we develop are what we call effective theories. They're like mathematical stories that we tell that describe the things that we see, but they're not like written into the fundamental firmament of the universe. You know, Aliens, for example, might not come up with these same effective theories. They're just sort of useful descriptions. But it's incredible we can find them. But sometimes they're harder to find than others. You know, for solids and for liquids, we have found mathematical descriptions that are useful for spin glass. It's been much much harder because their interactions are more complicated and less regular. But it's inspired people to come up with all sorts of new mathematical tricks, one of which people think is the reason why we discovered the Higgs boson.
Ooh, I guess maybe a step us through that a little bit more. What does that mean? Like we have an effective theory to describe like a regular magnet? Is that what you're saying? We have like a mathematical way to study and model how regular magnet works, but you're saying we don't have one yet for these crazy frustrated materials.
We've been working on. We've been making progress. I mean by we, I mean all the other physicists. We're not goofing off making podcasts. We you know, as the general group of humans thinking about these kinds of things, have been working on this for a long time. And I think it's always interesting when it requires a new kind of math. And so there's an Italian physicist, Parsi, who won the Nobel Prize for this in twenty twenty one because he came up with a new sort of mathematical strategy for dealing with this complication. You know. One of the real problems is that these things and arrange themselves in lots of different ways, and when you poke them, you know, you give them a little bit more magnetic energy. So you scramble all the spins and you watch them relax. You wonder like, why does it land in this configuration and not that one? Can we predict this kind of thing? Can we come up with some sort of mathematical way to grapple with this and predict what's going to happen? It can't be completely random?
And I guess what do you mean by a new kind of math, like a new kind of like adding quantum to old math, or what does that mean?
The way mathematics makes progress is that sometimes they need to develop like a new kind of tool, you know, like they find differential equations, and here's strategies for solving that kind of problem, or here's algebra, you know, like the people who figured out how to write equations down and solve them to get understanding. We're able to solve certain problems that other people couldn't. And for example, Descartes made a lot of advances in geometry because he was able to figure out how to use algebra to tackle geometry, Like if you could write down the equation of a circle, then you could solve systems of equations and understand geometric patterns. So here they've done something similar. They've invented sort of like new mathematical tools, and these mathematical tools are really thinking about the symmetry of the problem, Like you have this huge complex tree of options that a spin glass can do. It can flip this way, you can flip that way, you can flip the other way. So what Parisi did was come up with a way to think about this in sort of the larger context, Like don't just think about the one spin glass you have. Think about all the other spin glasses you don't have, like replicas of that system, and try to organize them into like branches, say like, oh, these guys are all similar in this way. Those guys are all similar in the other way. Think about like the choices that were made to get to this spin glass from the higher energy spin glass. And he found these ways to like organize these and use symmetries to like break down the problem into smaller pieces and to organize this complexity, and that helped them make sort of like approximate statements about which kinds of spin glass final states were more likely than others, Like if you started here, you were likely to get to neighboring final states where you weren't going to make a big jump to something all the way in the other side of the sort of symmetry organized set of states.
And you're talking about math that sort of analyzes one of these grids, right Like you're looking at a grid of these atoms, these frustrated atoms together and you're trying to figure out, like, you know, are they all gonna go up or down? Or are they going to alternate, or are they gonna you know, how often are you going to run into an upspin atom?
And you're wondering, if I poke this thing, how likely is it to change to another configuration, or how likely is it after I've poked it to come back to this configuration, Or how many spins are going to be flipped after I poke it? Is it going to be every single thing is flipped or just a fraction or flipped. So those are the kind of questions people are interested in, just like what are the behaviors of these things? So Prese's math give us sort of like a map for all those different configurations. He said, like, okay, this configuration is the spin glass. You can put it here on the map. And he was able to sort of organize and create this idea of a distance between one spin configuration and another. This distance is sort of a mathematical way to calculate like how many spins are similar or not. And he was able to organize it in such a way that he showed that if you poke this thing, it was more likely to end up in a nearby configuration than a distant one where the distance here is something that he defined. There's his strategy for organizing these different configurations.
So this is a pretty interesting kind of material. I guess kind of to go back a little bit to my earlier question is you know, like, let's say I make a piece of quantum glass and it has these interesting mathematical properties. What could I do with it? Can I like make actual glasses out of this glass?
Well?
What happen if I see through it?
Only if you can see through solid gold or silver or copper. You know, there's not anything that I'm aware that you can like do with it in your life other than impress your physicist friends, which you know has its own inherent value.
I mean it is sort of a quantum object, isn't it. At the end of the day, this glass is a quantum object. Could you do quantum things with it? Or computations it? Possibly?
I'm not aware of any applications for quantum computing, but I think with the most interesting thing is just the math that it makes us think about. It made these guys think about symmetries and patterns in new ways and come up with new mathematical tools. And whenever we develop new mathematical tools, we always find out that they are useful in other places. So people have been thinking about these kinds of symmetries and crystals for decades and decades. In the field we call condensed matter the study of you know, dense objects like crystals. And because of that mathematical foundation laying in condensed matter, there's a lot of work on symmetries, a lot of which informed Peter Higgs. When he was thinking about why particles get mass. He came up with this idea of another field in the universe that imparts the mass. But this field had to be really weird and different from any other field. He had seen before. It would have to settle and relax into a non minimum energy state. As we've talked about in the program a lot of times, the Higgs field has some weird energy bound into it. It can't relax to its lowest energy state. It relaxed to this weird intermediate state. And so thinking about the symmetry of that problem helped him think about the symmetries and the broken symmetries of the Higgs field and really inspired that whole direction of mathematics and particle physics. Mmm.
And that kind of worked out right for Peter Higgs and press of humanity. But Peter Higgs didn't know about these quantum glasses, right, you're just saying that they sort of us the same kind of math, and that's why it could be important.
That's right. Quantum glasses weren't well understood when he was talking about this kind of stuff and he was thinking about it. But the mathematics that underlie condensed matter and understanding these symmetries led to both a deeper understanding of quantum glasses and of symmetry breaking and the Higgs field.
Well, it's interesting that there is a connection, right, I mean, there's a connection between the such a fundamental particle in the universe and maybe all particles and what happens at these kind of macroscopic levels, right, maybe the idea that the universe there's a lot about symmetry in the universe.
There is a lot about symmetry in the universe, and also about these emergent phenomena. We've talked several times on the podcast about things we call quasi particles. These are weird materials that have states in them that look sort of like particles that act sort of like particles, you know, like phonons are waves that pass through a lattice in a crystal, and they're sort of similar to photons, but instead of moving through the fundamental electromagnetic field of the universe, they're moving through a crystal lattice. So we see these same kind of properties emerging in condensed matter that we often see also in the quantum fields of the universe. And so there's a lot of connections between the mathematics of solid objects and the mathematics of space time itself.
Does that inspire you to make your office more symmetric? Are do you work in at constant state of frustration as well?
No, I'm always asking my department ary. I'm like, can I get a bunch of gold bricks? I'd like to build a really strict, nice lattice to study their symmetry, But so far having gotten a single time delivery of a single gold brick.
And you just need to lend him your quantum glasses so he can see the future as well.
Or maybe he's just going to send me microscopic quantum gold bricks, but are either here nor there.
Here's one atom of gold, good luck.
In this economy, I'd be very happy for even one atom.
All right, Well, this is an interesting new kind of material and with interesting properties that we're learning more about. And it sounds like it's just another example of the weird things we can find in this messy universe. You know, like maybe twenty thirty years ago, we would never have imagined that we can make a material that is magnetically frustrated.
Yeah, and despite all the mess that we find around us, we can still seek order and find patterns and mathematical tricks to analyze it, which turn out to not just help us understand the stuff around us, but also reveal the mathematical patterns that seem to be inherent in the universe itself.
Well, we hope you enjoyed that. Thanks for joining us, Go have a shot of some quantum.
Drink, have an electron on me.
See you next time.
Thanks for listening, and remember that Daniel and Jorge Explain the Universe is a production of iHeartRadio. For more podcasts from iHeartRadio, visit the iHeartRadio app, Apple Podcasts, or wherever you listen to your favorite shows. When you pop a piece of cheese into your mouth, you're probably not thinking about the environmental impact. But the people in the dairy industry are. That's why they're working hard every day to find new ways to reduce waste, conserve natural resources, and drive down greenhouse gas emissions. How is us dairy tackling greenhouse gases? Many farms use anaerobic digestors to turn the methane from manure into renewable energy that can power farms, towns, and electric cars. Visit you as d COM's Last Sustainability to learn more.
As a United Explorer card member, you can earn fifty thousand bonus miles plus look forward to extraordinary travel rewards, including a free checked bag. Two times the miles on United purchases and two times the miles on dining and at hotels. Become an explore and seek out unforgettable places while enjoying rewards everywhere you travel. Cards issued by JP morgan Chase Bank NA member FDIC subject to credit approval offer subject to change. Terms apply.
There are children, friends, and families walking, riding on paths and roads every day. Remember they're real people with loved ones who need them to get home safely. Protect our cyclists and pedestrians because they're people too.
Go safely.
California From the California Office of Traffic Safety and Caltrans