论文标题
源自平等时间对称性的耗散时间晶体
Dissipative time crystals originating from parity-time symmetry
论文作者
论文摘要
这项研究旨在提供有关当$ \ natercal {pt} $对称性的$ \ Mathcal {pt} $对称性在带有lindblad Dynamics的集体旋转系统中恢复的证据。首先，我们表明，边界时间晶体（BTC）的标准模型满足了liouvillian $ \ Mathcal {pt} $对称性，并证明仅当固定状态为$ \ MATHCAL {pt} $ SYMONTRIC时，BTC才存在。另外，对于另一个BTC模型，数值确认了类似的陈述。此外，通过开发弱耗散下的一类模型的扰动理论来讨论BTC的出现机制。因此，我们表明当总收益和损失平衡时，BTC出现在一阶校正中。这些结果强烈表明BTC是源自$ \ Mathcal {pt} $对称性的时间晶体。
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.
