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  • Letter

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

Hayate Nakano1,*, Tatsuhiko Shirai2,†, and Takashi Mori3,‡

  • 1Department of Physics, University of Tokyo, Tokyo 113-0033, Japan
  • 2Department of Computer Science and Communications Engineering, Waseda University, Tokyo 162-0042, Japan
  • 3RIKEN Center for Emergent Matter Science (CEMS), Wako 351-0198, Japan

  • *hayate.nakano@phys.s.u-tokyo.ac.jp
  • †tatsuhiko.shirai@aoni.waseda.jp
  • ‡takashi.mori.fh@riken.jp

Phys. Rev. E 103, L040102 – Published 13 April, 2021

DOI: https://doi.org/10.1103/PhysRevE.103.L040102

Abstract

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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