Swapping Floquet time crystal

• URL: http://arxiv.org/abs/2312.17070v2
• Date: Wed, 22 May 2024 15:35:27 GMT
• Title: Swapping Floquet time crystal
• Authors: Roberto Gargiulo, Gianluca Passarelli, Procolo Lucignano, Angelo Russomanno,
• Abstract summary: We study the persistence of period-doubling oscillations in time and the time-crystal properties of the Floquet spectrum. We find that the interval of parameters where the system does not thermalize and persistent period-doubling is possible.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a Floquet period-doubling time-crystal model based on a disordered interacting long-range spin chain where the periodic swapping of nearby spin couples is applied. This protocol can be applied to systems with any local spin magnitude $s$ {and in principle also to systems with nonspin (fermionic or bosonic) local Hilbert space}. We explicitly consider the cases $s = 1/2$ and $s = 1$, using analytical and numerical methods to show that the time-crystal behavior appears in a range of parameters. In particular, we study the persistence of period-doubling oscillations in time, the time-crystal properties of the Floquet spectrum (quasienergy $\pi$-spectral pairing and long-range correlations of the Floquet states), and introduce a quantity (the local imbalance) to assess what initial states give rise to a period-doubling dynamics. We also consider the average level spacing ratio and find that the interval of parameters where the system does not thermalize and persistent period-doubling is possible corresponds to the one where the Floquet spectrum shows time-crystal properties.

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