Questions tagged [time-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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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 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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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 ...