首页|Diagnosing Thermalization Dynamics of Non-Hermitian Quantum Systems via GKSL Master Equations

Diagnosing Thermalization Dynamics of Non-Hermitian Quantum Systems via GKSL Master Equations

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The application of the eigenstate thermalization hypothesis to non-Hermitian quantum systems has become one of the most important topics in dissipative quantum chaos,recently giving rise to intense debates.The process of thermalization is intricate,involving many time-evolution trajectories in the reduced Hilbert space of the system.By considering two different expansion forms of the density matrices adopted in the biorthogonal and right-state time evolutions,we derive two versions of the Gorini-Kossakowski-Sudarshan-Lindblad(GKSL)master equations describing the non-Hermitian systems coupled to a bosonic heat bath in thermal equilibrium.By solving the equations,we identify a sufficient condition for thermalization under both time evolutions,resulting in Boltzmann biorthogonal and right-eigenstate statistics,respectively.This finding implies that the recently proposed biorthogonal random matrix theory needs an appropriate revision.Moreover,we exemplify the precise dynamics of thermalization and thermodynamic properties with test models.

毛奕廷、钟佩耕、林海青、王孝群、胡时杰

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Beijing Computational Science Research Center,Beijing 100084,China

School of Physics,Zhejiang University,Hangzhou 310058,China

Department of Physics,Beijing Normal University,Beijing 100875,China

National Key Research and Development Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of China

2022YFA1402700121740201208810111974244U2230402

2024

10.1088/0256-307X/41/7/070301

中国物理快报(英文版)
中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI
影响因子：0.515
ISSN：0256-307X
年,卷(期)：2024.41(7)