Questions tagged [time-crystals]

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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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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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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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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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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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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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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 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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