Towards a theory of metastability in open quantum dynamics
By generalizing concepts from classical stochastic dynamics, we establish the basis for a theory of metastability in Markovian open quantum systems. Partial relaxation into long-lived metastable states—distinct from the asymptotic stationary state—is a manifestation of a separation of time scales du...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34757/ |
| _version_ | 1848794928419700736 |
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| author | Macieszczak, Katarzyna Guţă, Mădălin Lesanovsky, Igor Garrahan, Juan P. |
| author_facet | Macieszczak, Katarzyna Guţă, Mădălin Lesanovsky, Igor Garrahan, Juan P. |
| author_sort | Macieszczak, Katarzyna |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | By generalizing concepts from classical stochastic dynamics, we establish the basis for a theory of metastability in Markovian open quantum systems. Partial relaxation into long-lived metastable states—distinct from the asymptotic stationary state—is a manifestation of a separation of time scales due to a splitting in the spectrum of the generator of the dynamics. We show here how to exploit this spectral structure to obtain a low dimensional approximation to the dynamics in terms of motion in a manifold of metastable states constructed from the low-lying eigenmatrices of the generator. We argue that the metastable manifold is in general composed of disjoint states, noiseless subsystems, and decoherence-free subspaces. |
| first_indexed | 2025-11-14T19:23:59Z |
| format | Article |
| id | nottingham-34757 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:59Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-347572020-05-04T17:56:20Z https://eprints.nottingham.ac.uk/34757/ Towards a theory of metastability in open quantum dynamics Macieszczak, Katarzyna Guţă, Mădălin Lesanovsky, Igor Garrahan, Juan P. By generalizing concepts from classical stochastic dynamics, we establish the basis for a theory of metastability in Markovian open quantum systems. Partial relaxation into long-lived metastable states—distinct from the asymptotic stationary state—is a manifestation of a separation of time scales due to a splitting in the spectrum of the generator of the dynamics. We show here how to exploit this spectral structure to obtain a low dimensional approximation to the dynamics in terms of motion in a manifold of metastable states constructed from the low-lying eigenmatrices of the generator. We argue that the metastable manifold is in general composed of disjoint states, noiseless subsystems, and decoherence-free subspaces. American Physical Society 2016-06-16 Article PeerReviewed Macieszczak, Katarzyna, Guţă, Mădălin, Lesanovsky, Igor and Garrahan, Juan P. (2016) Towards a theory of metastability in open quantum dynamics. Physical Review Letters, 116 (24). 240404/1-240404/6. ISSN 1079-7114 http://dx.doi.org/10.1103/PhysRevLett.116.240404 doi:10.1103/PhysRevLett.116.240404 doi:10.1103/PhysRevLett.116.240404 |
| spellingShingle | Macieszczak, Katarzyna Guţă, Mădălin Lesanovsky, Igor Garrahan, Juan P. Towards a theory of metastability in open quantum dynamics |
| title | Towards a theory of metastability in open quantum dynamics |
| title_full | Towards a theory of metastability in open quantum dynamics |
| title_fullStr | Towards a theory of metastability in open quantum dynamics |
| title_full_unstemmed | Towards a theory of metastability in open quantum dynamics |
| title_short | Towards a theory of metastability in open quantum dynamics |
| title_sort | towards a theory of metastability in open quantum dynamics |
| url | https://eprints.nottingham.ac.uk/34757/ https://eprints.nottingham.ac.uk/34757/ https://eprints.nottingham.ac.uk/34757/ |