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arXiv 2406.09018quant-phcond-mat.othercond-mat.stat-mech
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连续时间晶体作为PT对称态与临界异常点的出现

Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points

University of Tokyo(东京大学);Tokyo Institute of Technology(东京工业大学)

Yuma Nakanishi, Ryo Hanai, Tomohiro Sasamoto

AI总结:

本文证明Lindbladian PT对称性可普遍产生持续周期振荡,涵盖耗散连续时间晶体模型和空间扩展玻色系统,并揭示PT对称相中的周期轨道为中心型,依赖初始态。

摘要:

连续时间平移对称性常在开放量子系统中自发破缺,其出现条件已被积极研究。然而,仅有少数情况完全阐明了其出现条件。在本信中,我们证明Lindbladian宇称-时间($\mathcal{PT}$)对称性可以在广泛系统中普遍产生持续周期振荡。这包括在耗散连续时间晶体背景下被深入研究的单集体自旋模型,以及具有守恒粒子数的空间扩展二分玻色子系统。有趣的是,PT对称相中的周期轨道被发现是中心型的,意味着初始态依赖性。这些结果通过证明微观层面的Lindbladian $\mathcal{PT}$对称性蕴含非线性PT对称性,并在转变点附近进行线性稳定性分析而建立。本研究将增进我们对新型非平衡物质相及自发反幺正对称性破缺相变的理解。

英文摘要:

Continuous time-translation symmetry is often spontaneously broken in open quantum systems, and the condition for their emergence has been actively investigated. However, there are only a few cases in which its condition for appearance has been fully elucidated. In this Letter, we show that a Lindbladian parity-time ($\mathcal{PT}$) symmetry can generically produce persistent periodic oscillations in a wide class of systems. This includes one-collective spin models, which have been studied thoroughly in the context of dissipative continuous time crystals, and spatially extended bipartite bosonic systems with conserved particle number. Interestingly, the periodic orbits in the PT-symmetric phase are found to be center-type, implying an initial state dependence. These results are established by proving that the Lindbladian $\mathcal{PT}$ symmetry at the microscopic level implies a nonlinear PT symmetry, and by performing a linear stability analysis near the transition point. This research will further our understanding of novel non-equilibrium phases of matter and phase transitions with spontaneous anti-unitary symmetry breaking.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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