Dissipative time crystals originating from parity-time symmetry

被引：9

作者：

Nakanishi, Yuma ^{[1
]}

Sasamoto, Tomohiro ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, 2-12-1 Ookayama Meguro Ku, Tokyo 1528551, Japan

来源：

PHYSICAL REVIEW A | 2023年 / 107卷 / 01期

关键词：

STEADY-STATE;

D O I：

10.1103/PhysRevA.107.L010201

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This study aims to provide evidence regarding the emergence of a class of dissipative time crystals when 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 PT symmetry, and prove that BTC exists only when the stationary state is 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 PT symmetry.

引用

页数：7