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arXiv · 2401.08824

Spontaneous breaking of time translation symmetry in a system without periodic external driving

T. T. Sergeev·A. A. Zyablovsky·E. S. Andrianov·Yu. E. Lozovik
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Abstract

It is known that the spontaneous time translation symmetry breaking can occur in systems periodically driven at a certain period. We predict a spontaneous breaking of time translation symmetry in an atom-cavity system without external driving, in which a time scale is determined by the time of light bypass of the resonator. We demonstrate that there is a parameter range, in which a system state returns to its initial state only after two bypasses of the resonator. We believe that the predicted phenomenon opens a way to a new direction in the time crystal field.

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T. T. Sergeev, A. A. Zyablovsky, E. S. Andrianov, Yu. E. Lozovik. 2024-01-16. Spontaneous breaking of time translation symmetry in a system without periodic external driving. https://arxiv.org/abs/2401.08824

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