Lindbladian Many-Body Localization
Disordered Systems and Neural Networks
2022-06-08 v1 Statistical Mechanics
Quantum Physics
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.
Cite
@article{arxiv.2206.02984,
title = {Lindbladian Many-Body Localization},
author = {Ryusuke Hamazaki and Masaya Nakagawa and Taiki Haga and Masahito Ueda},
journal= {arXiv preprint arXiv:2206.02984},
year = {2022}
}
Comments
7 pages, 4 figures (Supplemental Material: 25 pages, 10 figures)