TY - JOUR

T1 - Tensor network approach to thermalization in open quantum many-body systems

AU - Nakano, Hayate

AU - Shirai, Tatsuhiko

AU - Mori, Takashi

N1 - Funding Information:
The authors thank Synge Todo for the fruitful discussion. H.N. was supported by Advanced Leading Graduate Course for Photon Science (ALPS), the University of Tokyo. T.S. and T.M. were supported by Japan Society for the Promotion of Science KAKENHI Grants No. 18K13466 and No. 19K14622, respectively.
Publisher Copyright:
© 2021 American Physical Society.

PY - 2021/4

Y1 - 2021/4

N2 - We investigate the relaxation dynamics of open nonintegrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making use of the uniform matrix product operators (MPO) as the ansatz of their density matrices. Furthermore, we establish a method to measure the thermodynamic equivalence between two states described by the uniform MPOs. We numerically show that when an initial state of the LQME is a thermal Gibbs state, a time evolved state is always indistinguishable from a Gibbs state with a time-dependent effective temperature in the weak-dissipation and thermodynamic limit.

AB - We investigate the relaxation dynamics of open nonintegrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making use of the uniform matrix product operators (MPO) as the ansatz of their density matrices. Furthermore, we establish a method to measure the thermodynamic equivalence between two states described by the uniform MPOs. We numerically show that when an initial state of the LQME is a thermal Gibbs state, a time evolved state is always indistinguishable from a Gibbs state with a time-dependent effective temperature in the weak-dissipation and thermodynamic limit.

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U2 - 10.1103/PhysRevE.103.L040102

DO - 10.1103/PhysRevE.103.L040102

M3 - Article

C2 - 34005857

AN - SCOPUS:85104259508

VL - 103

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 4

M1 - L040102

ER -