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Open Quantum Systems Decoherence Quantum Thermodynamics

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

arXiv
Authors: Hayate Nakano, Tatsuhiko Shirai, Takashi Mori

Year

2020

Paper ID

18172

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We investigate the relaxation dynamics of open non-integrable 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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  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
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  • We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.12274 [2] arXiv https://arxiv.org/abs/2012.12274 [3] Publisher https://arxiv.org/abs/2012.12274

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