Li, Jimin L;
Rose, Dominic C;
Garrahan, Juan P;
Luitz, David J;
(2022)
Random matrix theory for quantum and classical metastability in local Liouvillians.
Physical Review B
, 105
(18)
, Article L180201. 10.1103/physrevb.105.l180201.
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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 < 1compared to the other "bad" qubits, confirms this picture and admits a perturbative treatment.
| Type: | Article |
|---|---|
| Title: | Random matrix theory for quantum and classical metastability in local Liouvillians |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevb.105.l180201 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevB.105.L180201 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10149620 |
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