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Lindbladian Many-Body Localization
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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.
Forward citations
Cited by 2 Pith papers
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Chaos and thermalization in open quantum systems
The authors conjecture an ETH-like thermalization for open quantum systems via Liouvillian stripes, with numerical support from random Liouvillians and a driven-dissipative spin chain.
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Open-system dynamics in local Lindbladians with chaotic spectra
For local Lindbladians with Ginibre-like spectra, eigenoperator size is locked to decay rate, giving state-independent early-time purity decay and size-limited operator growth.
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