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- W4226142829 abstract "This study aims to provide evidence regarding the emergence of a class of dissipative time crystals when $mathcal{PT}$ symmetry of the systems is restored in collective spin systems with Lindblad dynamics. First, we show that a standard model of boundary time crystals (BTCs) satisfies the Liouvillian $mathcal{PT}$ symmetry, and prove that BTC exists only when the stationary state is $mathcal{PT}$ symmetric in the large-spin limit. Also, a similar statement is confirmed numerically for another BTC model. In addition, the mechanism of the appearance of BTCs is discussed through the development of a perturbation theory for a class of the one-spin models under weak dissipations. Consequently, we show that BTCs appear in the first-order correction when the total gain and loss are balanced. These results strongly suggest that BTCs are time crystals originating from $mathcal{PT}$ symmetry." @default.
- W4226142829 created "2022-05-05" @default.
- W4226142829 creator A5018403675 @default.
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- W4226142829 date "2022-03-13" @default.
- W4226142829 modified "2023-10-17" @default.
- W4226142829 title "Dissipative time crystals originating from parity-time symmetry" @default.
- W4226142829 doi "https://doi.org/10.48550/arxiv.2203.06672" @default.
- W4226142829 hasPublicationYear "2022" @default.
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