基于光子关联的非厄米准晶体局域化相变研究(特邀)

doi:10.3969/j.issn.1007-5461.2026.03.011

量子电子学报 ›› 2026, Vol. 43 ›› Issue (3): 443-455.doi: 10.3969/j.issn.1007-5461.2026.03.011

基于光子关联的非厄米准晶体局域化相变研究(特邀)

侯佳慧 1,2,3, 张敏 1,2, 王奥 1,2, 郭晓敏 1,3, 郭龑强 1,2,3*

1 太原理工大学新型传感器与智能控制教育部重点实验室, 山西太原 030024;2 太原理工大学物理与光电工程学院, 山西太原 030024; 3 太原理工大学精密测量物理山西省重点实验室, 山西太原 030024

收稿日期:2025-04-28 修回日期:2025-06-17 出版日期:2026-05-28 发布日期:2026-05-28
通讯作者: E-mail: guoyanqiang@tyut.edu.cn E-mail:E-mail: guoyanqiang@tyut.edu.cn
作者简介:侯佳慧 ( 1999 - ), 女, 甘肃定西人, 研究生, 主要从事量子精密测量与物态调控方面的研究。E-mail: houjiahui1123@163.com
基金资助:
国家重点研发计划 (2022YFA1404201), 国家自然科学基金 (62175176, 62475185, U23A20380), 山西省基础研究计划 (202403021221034)

Localization phase transition investigation in non⁃Hermitian quasicrystals via photon correlation(Invited)

HOU Jiahui 1 ,2,3 , ZHANG Min 1,2 , WANG Ao 1,2 , GUO Xiaomin 1,3 , GUO Yanqiang 1,2,3*

1 Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China; 2 College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China; 3 Shanxi Key Laboratory of Precision Measurement Physics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2025-04-28 Revised:2025-06-17 Published:2026-05-28 Online:2026-05-28

摘要/Abstract

摘要： 本文以无自旋单粒子Aubry-André-Harper (AAH) 模型为基础, 研究了非厄米AAH模型中局域化相变的耦合机制, 提出以二阶光子关联函数作为表征拓扑相变的序参量。通过构建一维非厄米Floquet准晶体系, 结合光纤环量子行走平台, 实现了对耗散与准周期势场的动态调控。研究结果表明, 利用光子关联函数进行系统局域化相变判别, 当耦合系数η超过临界值π/4时, 光子关联函数在相变点呈现显著振荡衰减, 验证了其作为序参量的灵敏度。这种方法改进了依赖于Lyapunov指数和二阶矩的传统标度, 通过光子关联分析, 深入揭示了系统空间关联特性的演化规律, 并为非平衡态下的拓扑-无序竞争机制提供了多维度验证。

关键词: 量子光学, 光子关联, 量子行走, 安德森局域化, 动力学演化

Abstract: Based on the spinless single-particle Aubry-André-Harper (AAH) model, this paper investigates the coupling mechanism of the localization phase transition in the non-Hermitian AAH model and proposes the second-order photon correlation function as an order parameter to characterize the topological phase transition. By constructing a one-dimensional non-Hermitian Floquet quasicrystal system and a fiber-loop quantum walk platform, dynamic control of dissipation and quasiperiodic potentials is achieved. The results show that when the coupling parameter η exceeds the critical value π 4 , the photon correlation function displays distinct oscillatory decay at phase transition points, confirming its sensitivity as the order parameter for determining the system's localization phase transition. This method improves traditional scaling approaches using Lyapunov exponents and second-order moments. Through photon correlation analysis, the evolution law of the system's spatial correlation characteristics is deeply revealed by this method, providing multi-dimensional insights into the topology-disorder competition mechanism in non-equilibrium systems.

Key words: quantum optics, photon correlation, quantum walks, Anderson localization, dynamic evolution

中图分类号:

O431.2

侯佳慧, 张敏, 王奥, 郭晓敏, 郭龑强, . 基于光子关联的非厄米准晶体局域化相变研究(特邀)[J]. 量子电子学报, 2026, 43(3): 443-455.

HOU Jiahui , , ZHANG Min , , WANG Ao , , GUO Xiaomin , , GUO Yanqiang , . Localization phase transition investigation in non⁃Hermitian quasicrystals via photon correlation(Invited)[J]. Chinese Journal of Quantum Electronics, 2026, 43(3): 443-455.

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基于光子关联的非厄米准晶体局域化相变研究(特邀)

Localization phase transition investigation in non⁃Hermitian quasicrystals via photon correlation(Invited)

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