论文标题

在非铁系统中的有限温度动态量子相变

Finite temperature dynamical quantum phase transition in a non-Hermitian system

论文作者

Mondal, Debashish, Nag, Tanay

论文摘要

我们研究了混合状态动力学量子相变(MSDQPT)的非热度和有限温度之间的相互作用。我们考虑了$ p $ - 波超导体模型,包括复杂的跳跃和非热度性,除了间隙阶段外,还会导致无间隙相,以通过相位内淬火检查MSDQPT和绕组数。我们发现MSDQPT始终存在,而不论基础阶段的间隙结构如何,但是,上述阶段之间Fisher Zeros的曲线变化。 MSDQPT的此类发生与零温度的情况相反,在零温度的情况下,dqpt在间隙阶段没有发生。令人惊讶的是,在零温度下的绕组数中的半全能人数在无间隙阶段被洗净以获取有限温度。我们研究了系统以逆温度体验MSDQPT所需的最短时间的演变,从而可以区分间隙和无间隙相。我们的研究表明,最小时间显示了间隙(无间隙)阶段的单调(非单调)行为。

We investigate the interplay between the non-Hermiticity and finite temperature in the context of mixed state dynamical quantum phase transition (MSDQPT). We consider a $p$-wave superconductor model, encompassing complex hopping and non-Hermiticity that can lead to gapless phases in addition to gapped phases, to examine the MSDQPT and winding number via the intra-phase quench. We find that the MSDQPT is always present irrespective of the gap structure of the underlying phase, however, the profile of Fisher zeros changes between the above phases. Such occurrences of MSDQPT are in contrast to the zero-temperature case where DQPT does not take place for the gapped phase. Surprisingly, the half-integer jumps in winding number at zero-temperature are washed away for finite temperature in the gapless phase. We study the evolution of the minimum time required by the system to experience MSDQPT with the inverse temperature such that gapped and gapless phases can be differentiated. Our study indicates that the minimum time shows monotonic (non-monotonic) behavior for the gapped (gapless) phase.

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