Random matrix theory for quantum and classical metastability in local Liouvillians
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| Format: | Preprint |
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2021
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| _version_ | 1866910025021128704 |
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| author | Li, Jimin L. Rose, Dominic C. Garrahan, Juan P. Luitz, David J. |
| author_facet | Li, Jimin L. Rose, Dominic C. Garrahan, Juan P. Luitz, David J. |
| contents | 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 $α<1$ compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2110_13158 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Random matrix theory for quantum and classical metastability in local Liouvillians Li, Jimin L. Rose, Dominic C. Garrahan, Juan P. Luitz, David J. Strongly Correlated Electrons Statistical Mechanics Quantum Physics 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 $α<1$ compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment. |
| title | Random matrix theory for quantum and classical metastability in local Liouvillians |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2110.13158 |