从突然淬火到缓慢淬火极限的动态量子相变的命运
Fate of dynamical quantum phase transitions from sudden quench to slow quench limit
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中文总结 AI 辅助
研究从突然淬火到缓慢淬火极限下动态量子相变的命运，通过系统探索发现跨越平衡量子相变时DQPT在慢淬火下稳健，能揭示其与平衡量子相变内在联系，可作识别平衡量子临界点的动态探针，并举例说明。
中文摘要 AI 辅助
先前对动态量子相变（DQPT）的研究主要集中在突然淬火协议上。在这项工作中，我们系统地探索了DQPT从突然淬火到缓慢淬火 regime 的命运。我们确定，当协议跨越平衡量子相变时，DQPT在缓慢淬火下仍然稳健。相反，我们表明，当淬火前后的哈密顿量处于相同的平衡相时出现的偶然DQPT可以在缓慢淬火极限中被过滤掉。这表明缓慢淬火可以揭示DQPT与平衡量子相变之间的内在联系，从而使DQPT能够作为识别平衡量子临界点的动态探针。我们用XY链、Aubry-André模型和三聚体Su-Schrieffer-Heeger模型的例子来说明这些发现。
英文摘要
Previous investigations of dynamical quantum phase transition (DQPT) have predominantly focused on sudden quench protocols. In this work, we systematically explore the fate of DQPT from the sudden to the slow quench regime. We establish that DQPT remains robust under slow quenching when the protocol crosses an equilibrium quantum phase transition. Conversely, we show that accidental DQPTs,which occur when the pre and post quench Hamiltonians reside in the same equilibrium phase, can be filtered out in the slow quench limit. This demonstrates that slow quenches can reveal the intrinsic connection between DQPT and equilibrium quantum phase transitions, thereby enabling DQPT to serve as a dynamical probe for identifying equilibrium quantum critical points. We illustrate these findings with examples from the XY chain, the Aubry-André model, and the trimer Su-Schrieffer-Heeger model.
