论文标题

在有限温度下的双淬火过程中的变质动力学量子相变

Metamorphic dynamical quantum phase transition in double-quench processes at finite temperatures

论文作者

Hou, Xu-Yang, Gao, Qu-Cheng, Guo, Hao, Chien, Chih-Chun

论文摘要

通过得出一般框架并分析具体示例,我们在一维的两波段系统中演示了一类动力学量子相变(DQPTS)。当这种类型的DQPT发生时,Loschmidt振幅消失,并且在第二次淬火之后,速率函数仍然保持单数,这意味着最终状态不断与初始状态重叠。这种类型的DQPT被命名为Metamorphic DQPT,以将其与仅在离散时间点显示为零的loschmidt振幅和单数速率函数的普通DQPT区分开。变质DQPT发生在零以及有限温度下。我们关于Su-Schrieffer-Heeger(SSH)模型和Kitaev链的例子说明了变质DQPT的条件和行为。由于在许多系统中已经实现了普通的DQPT,因此具有双淬火的类似设置将证明变质DQPT。因此,我们的发现提供了量子系统动态演化的其他控制。

By deriving a general framework and analyzing concrete examples, we demonstrate a class of dynamical quantum phase transitions (DQPTs) in one-dimensional two-band systems going through double-quench processes. When this type of DQPT occurs, the Loschmidt amplitude vanishes and the rate function remains singular after the second quench, meaning the final state continually has no overlap with the initial state. This type of DQPT is named metamorphic DQPT to differentiate it from ordinary DQPTs that only exhibit zero Loschmidt amplitude and singular rate function at discrete time points. The metamorphic DQPTs occur at zero as well as finite temperatures. Our examples of the Su-Schrieffer-Heeger (SSH) model and Kitaev chain illustrate the conditions and behavior of the metamorphic DQPT. Since ordinary DQPTs have been experimentally realized in many systems, similar setups with double quenches will demonstrate the metamorphic DQPT. Our findings thus provide additional controls of dynamical evolution of quantum systems.

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