Lindbladian Many-Body Localization

• URL: http://arxiv.org/abs/2206.02984v1
• Date: Tue, 7 Jun 2022 02:59:51 GMT
• Title: Lindbladian Many-Body Localization
• Authors: Ryusuke Hamazaki, Masaya Nakagawa, Taiki Haga, and Masahito Ueda
• Abstract summary: We find a novel localization transition that alters the dynamics of coherence in disordered many-body spin systems. The transition occurs in the middle spectrum of the Lindbladian super-operator whose eigenstates obey the universality of non-Hermitian random-matrix theory for weak disorder.
• Score: 3.6748639131154315
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We discover a novel localization transition that alters the dynamics of coherence in disordered many-body spin systems subject to Markovian dissipation. The transition occurs in the middle spectrum of the Lindbladian super-operator whose eigenstates obey the universality of non-Hermitian random-matrix theory for weak disorder and exhibit localization of off-diagonal degrees of freedom for strong disorder. This Lindbladian many-body localization prevents many-body decoherence due to interactions and is conducive to robustness of the coherent dynamics characterized by the rigidity of the decay rate of coherence.

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