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arXiv 2302.00927quant-ph
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无序关联作为拓扑相变的见证

Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions

Qian Bin, Liang-Liang Wan, Franco Nori, Ying Wu, Xin-You Lü

摘要:

我们提出了一个物理证人动态检测拓扑相变(TPTs)通过实验观察的时间顺序相关(OTOC)。由于OTOC动力学的拓扑局部性,OTOC动力学可以区分为拓扑平凡和非平凡两个阶段。在长时间极限下,OTOC在TPT的临界点处经历{ \it零到有限值转变}。这种转换对系统初始状态和OTOC中所用算子的选择是鲁棒的。所提出的OTOC证据可以应用于具有和不具有手征对称性的体系,例如,由SSH模型、Creutz模型和Halfmann模型描述的晶格。此外,我们的建议,作为真实空间中的物理见证,即使在无序的情况下仍然有效。我们的工作从根本上提供了一个新的前景,探索拓扑物理与量子关联。

英文摘要:

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and non-trivial phases due to the topological locality. In the long-time limit, the OTOC undergoes a {\it zero-to-finite-value transition} at the critical point of the TPTs. This transition is robust to the choices of the initial state of the system and the used operators in OTOC. The proposed OTOC witness can be applied into the systems with and without chiral symmetry, e.g., the lattices described by the SSH model, Creutz model, and Haldane model. Moreover, our proposal, as a physical witness in real space, is still valid even in the presence of disorder. Our work fundamentally offers a new prospect of exploring topological physics with quantum correlations.

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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