Metastability in an open quantum Ising model
We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a nonequilibrium phase transition or a smooth but sharp crossover, where the stationary state changes from paramagne...
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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/39552/ |
| _version_ | 1848795863073161216 |
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| author | Rose, Dominic C. Macieszczak, Katarzyna Lesanovsky, Igor Garrahan, Juan P. |
| author_facet | Rose, Dominic C. Macieszczak, Katarzyna Lesanovsky, Igor Garrahan, Juan P. |
| author_sort | Rose, Dominic C. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a nonequilibrium phase transition or a smooth but sharp crossover, where the stationary state changes from paramagnetic to ferromagnetic, accompanied by strongly intermittent emission dynamics characteristic of first-order coexistence between dynamical phases. We show that for a range of parameters close to this transition or crossover point the dynamics of the finite system displays pronounced metastability, i.e., the system relaxes first to long-lived metastable states before eventual relaxation to the true stationary state. From the spectral properties of the quantum master operator we characterize the low-dimensional manifold of metastable states, which are shown to be probability mixtures of two, paramagnetic and ferromagnetic, metastable phases. We also show that for long times the dynamics can be approximated by a classical stochastic dynamics between the metastable phases that is directly related to the intermittent dynamics observed in quantum trajectories and thus the dynamical phases. |
| first_indexed | 2025-11-14T19:38:50Z |
| format | Article |
| id | nottingham-39552 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:38:50Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-395522020-05-04T18:20:38Z https://eprints.nottingham.ac.uk/39552/ Metastability in an open quantum Ising model Rose, Dominic C. Macieszczak, Katarzyna Lesanovsky, Igor Garrahan, Juan P. We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a nonequilibrium phase transition or a smooth but sharp crossover, where the stationary state changes from paramagnetic to ferromagnetic, accompanied by strongly intermittent emission dynamics characteristic of first-order coexistence between dynamical phases. We show that for a range of parameters close to this transition or crossover point the dynamics of the finite system displays pronounced metastability, i.e., the system relaxes first to long-lived metastable states before eventual relaxation to the true stationary state. From the spectral properties of the quantum master operator we characterize the low-dimensional manifold of metastable states, which are shown to be probability mixtures of two, paramagnetic and ferromagnetic, metastable phases. We also show that for long times the dynamics can be approximated by a classical stochastic dynamics between the metastable phases that is directly related to the intermittent dynamics observed in quantum trajectories and thus the dynamical phases. American Physical Society 2016-11-18 Article PeerReviewed Rose, Dominic C., Macieszczak, Katarzyna, Lesanovsky, Igor and Garrahan, Juan P. (2016) Metastability in an open quantum Ising model. Physical Review E, 94 (5). 052132/1-052132/11. ISSN 2470-0053 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.052132 doi:10.1103/PhysRevE.94.052132 doi:10.1103/PhysRevE.94.052132 |
| spellingShingle | Rose, Dominic C. Macieszczak, Katarzyna Lesanovsky, Igor Garrahan, Juan P. Metastability in an open quantum Ising model |
| title | Metastability in an open quantum Ising model |
| title_full | Metastability in an open quantum Ising model |
| title_fullStr | Metastability in an open quantum Ising model |
| title_full_unstemmed | Metastability in an open quantum Ising model |
| title_short | Metastability in an open quantum Ising model |
| title_sort | metastability in an open quantum ising model |
| url | https://eprints.nottingham.ac.uk/39552/ https://eprints.nottingham.ac.uk/39552/ https://eprints.nottingham.ac.uk/39552/ |