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

doi:10.3969/j.issn.1007-5461.2026.03.011

Abstract

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

CLC Number:

O431.2

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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