Questions tagged [time-crystals]

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Quantum Time Crystals

I am not sure I appreciate the implication made by Wilczek here: I definitely see how the expectation value for $\dot\phi$ becomes zero for an energy eigenstate $\Psi_E$ but I do not see what he is ...
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What does it mean to be less symmetrical than the equations governing the system?

I found this line on the wiki for time crystals : The existence of crystals in nature is a manifestation of spontaneous symmetry breaking, which occurs when the lowest-energy state of a system is ...
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What does breaking time translation symmetry mean? What's wrong with time crystal?

I was reading about a new state of matter which is called time crystal, this seemingly violates thermodynamic which had intrigue me. Someone told me that when you perform an experiment in the past, ...
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Time Crystals in the Early Universe?

There is an extremely exciting footnote/remark from Prof. Frank Wilczek during the subsequent Question and Answer (Q&A) session (starting from 01 h 03 min 42 sec) of his recently held presentation:...
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How can time crystals be useful in qRAM design?

A time crystal is a phase of a matter which is ordered in time, similar to classical crystals which are ordered spatially. In other words, the structure of a time crystal is ever-changing but with ...
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Time Crystals - Question on the Hamiltonian for space crystals as in the seminal paper

I was going trough the paper "Classical Time Crystals" by A. Shapere and F. Wilczek, Physical Review Letters 109 (2012). At the beginning they state that it is easy to construct Hamiltonians ...
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Time translational symmetry breaking

I have heard of time translational symmetry, which refers to the law of conservation of energy. Time crystals break time translational symmetry. I read on Wikipedia that it only breaks discrete-time ...
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Time Crystals: Rigidity, tuning of Hamiltonians

From my basic understanding of Time Crystals, we need a periodically driven Hamiltonian, say $H(t)$ with period $T$, $H(t)= H(T+t)$ and a local order parameter $O(t)$ with a period $nT$ satisfying ...
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Trying to understand crystal structures within a solid

I am trying to get a firm understanding of crystal structures in solid state physics but having some issues with the terminology. If I understand correctly, the lattice are points in a 3-D space so ...
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What are the differences and similarities between Quantum synchronization and time-crystalisation?

I am learning about Quantum synchronization and read [1,2] on Sunday, which are about many-body bosonic systems. I understand that what happens when the system synchronizes is that all the particles ...
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Why cant time-crystals form in thermal equilibrium?

This would make time-crystals a practically useless source of work, correct?
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Could spacetime have crystalline properties?

Space-time is currently modeled as a continuous manifold. However, space-time shares many features in general relativity that mimic a fluid-like thing. Fluids are certain states of matter and under ...
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Do time crystals require quantum entanglement?

In this video (at this time in the video) the vlogger seems to make a statement that the only way time crystals can be achieved is if some of the atoms (at a periodic distance from each other) are ...
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What are Time Crytals? [duplicate]

I am a physics enthusiast and came upon an article regarding time crystals and didn't understand many things. What exactly are Time Crystals? and what sets them apart from Normal crystals?
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What is internal space translation?

While I was reading the paper named "Classical time crystals," by A. Shapere and F. Wilczek, I found the following transformation. $$f(x) \to f(x+e) - \frac{df}{dx}*e$$ It says the transformation is ...
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9 votes
1 answer
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What's the difference between a time crystal and a system undergoing periodic motion?

What's the difference between a time crystal and a system undergoing periodic motion? My understanding of a crystal is that it is a rigid body with a spatially periodic structure. Is any system ...
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Can time crystals scatter incoming waves toward the past?

Can time crystals scatter incoming waves toward the past? I think it is a fair question to ask, albeit the answer is overwhelmingly likely NO. But since the concept is fairly new, I'm wondering if ...
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What could time crystals be useful for?

Time crystals have been theorized only a few years ago and confirmed recently. The articles reporting it don't talk about what they could be used for. Of course, every branch of physics can help us ...
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How do time crystals not contradict thermodynamics?

Given that one of the basic properties of time crystals is that they move without any energy being applied, does that not mean that it's producing more energy than it's receiving? How does that not ...
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Understanding time crystals

In very recent publications, two groups in Maryland (paper: "Observation of a Discrete Time Crystal") and Harvard (paper: "Observation of discrete time-crystalline order in a disordered dipolar many-...
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Time crystals: fake or revolution?

This article about time crystals just appeared on the PRL website. Viewpoint: Crystals of Time (http://physics.aps.org/articles/v5/116) The authors (including famous Frank Wilczek) claim that some ...
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