Random matrix theory for quantum and classical metastability in local Liouvillians

• URL: http://arxiv.org/abs/2110.13158v1
• Date: Mon, 25 Oct 2021 18:00:01 GMT
• Title: Random matrix theory for quantum and classical metastability in local Liouvillians
• Authors: Jimin L. Li, Dominic C. Rose, Juan P. Garrahan and David J. Luitz
• Abstract summary: We consider the effects of strong dissipation in quantum systems with a notion of locality. Additional separations of timescales can emerge, inducing a manifold of metastable states. Our simple model, involving one or two "good" qubits with dissipation reduced by a factor $alpha1$ compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the effects of strong dissipation in quantum systems with a notion of locality, which induces a hierarchy of many-body relaxation timescales as shown in [Phys. Rev. Lett. 124, 100604 (2020)]. If the strength of the dissipation varies strongly in the system, additional separations of timescales can emerge, inducing a manifold of metastable states, to which observables relax first, before relaxing to the steady state. Our simple model, involving one or two "good" qubits with dissipation reduced by a factor $\alpha<1$ compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment.

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