arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

非厄米量子系统中分数动力学拓扑的起源与分类

Origin and classification of fractional dynamical topology in non-Hermitian quantum systems

Zimiao Zhang, Li Chen, Weilun Jiang, Heng Shen

arXiv 2610.05262首次发表:更新:

发表机构

College of Physics and Electronic Engineering, Shanxi University; State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Theoretical Physics, Shanxi University; Institute of Opto-electronics, Shanxi University; Collaborative Innovation Center of Extreme Optics, Shanxi University(山西大学物理电子工程学院; 山西大学理论物理研究所量子光学技术与器件国家重点实验室; 山西大学光电研究所; 山西大学极端光学协同创新中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究揭示非厄米两带模型中动力学量子相变的分数跳变源于复能量谱不连续性,并关联淬灭哈密顿量稳态相图,扩展至多带及二维模型以统一理解分数动力学拓扑。

AI 中文摘要

动力学量子相变(DQPT)为表征非平衡临界现象提供了基本框架,并最近被扩展到非厄米系统。动力学拓扑序参量的半整数跳变可出现在厄米和非厄米系统中,但其在非厄米环境中的起源仍不清楚。在此,我们研究了两带非厄米模型中的DQPT,并表明这些分数跳变源于复能量谱的不连续性。我们证明这种行为与淬灭哈密顿量的稳态相图内在相关,并对DQPT的发生进行了分类。我们进一步将分析扩展到多带哈密顿量和二维模型,为分数动力学拓扑特征提供了统一理解。

英文摘要

Dynamical quantum phase transitions (DQPT) provide a fundamental framework for characterizing nonequilibrium critical phenomena, and have recently been extended to non-Hermitian systems. Half-integer jumps of the dynamical topological order parameter can arise in both Hermitian and non-Hermitian systems, yet their origin in non-Hermitian settings remains unclear. Here, we investigate DQPTs in a two-band non-Hermitian model and show that these fractional jumps originate from the discontinuity in the complex energy spectrum. We demonstrate that this behavior is intrinsically linked to the steady-state phase diagram of the quench Hamiltonian, and also classify the occurrence of DQPT. We further extend our analysis to the multiband Hamiltonian and the two-dimensional model, providing a unified understanding of fractional dynamical topological signatures.

Comments7 pages, 5 figures

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑