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Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound

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arxiv 2404.14067 v2 pith:D3WYU5KG submitted 2024-04-22 quant-ph cond-mat.mes-hall

Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound

Koki Shiraishi , Masaya Nakagawa , Takashi Mori , Masahito Ueda This is my paper
classification quant-ph cond-mat.mes-hall
keywords equationgksllocalmany-bodyquantumsystemsboundderivation
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The local Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) quantum master equation is a powerful tool for the study of open quantum many-body systems. However, its microscopic derivation applicable to many-body systems is available only in limited cases of weak internal couplings, and it has yet to be fully understood under what microscopic conditions the local GKSL equation is valid. We derive the local GKSL equation on the basis of the Lieb-Robinson bound, which provides an upper bound of the propagation of information in quantum many-body systems. We numerically test the validity of the derived local GKSL equation for a one-dimensional tight-binding fermion chain.

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