Making rare events typical in Markovian open quantum systems
Large dynamical fluctuations—atypical realizations of the dynamics sustained over long periods of time—can play a fundamental role in determining the properties of collective behavior of both classical and quantum nonequilibrium systems. Rare dynamical fluctuations, however, occur with a probability...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/53428/ |
| _version_ | 1848798938744750080 |
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| author | Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos |
| author_facet | Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos |
| author_sort | Carollo, Federico |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Large dynamical fluctuations—atypical realizations of the dynamics sustained over long periods of time—can play a fundamental role in determining the properties of collective behavior of both classical and quantum nonequilibrium systems. Rare dynamical fluctuations, however, occur with a probability that often decays exponentially in their time extent, thus making them difficult to be directly observed and exploited in experiments. Here, using methods from dynamical large deviations, we explain how rare dynamics of a given (Markovian) open quantum system can always be obtained from the typical realizations of an alternative (also Markovian) system. The correspondence between these two sets of realizations can be used to engineer and control open quantum systems with a desired statistics “on demand.” We illustrate these ideas by studying the photon emission behavior of a three-qubit system which displays a sharp dynamical crossover between active and inactive dynamical phases. |
| first_indexed | 2025-11-14T20:27:44Z |
| format | Article |
| id | nottingham-53428 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:27:44Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-534282018-08-23T09:04:51Z https://eprints.nottingham.ac.uk/53428/ Making rare events typical in Markovian open quantum systems Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos Large dynamical fluctuations—atypical realizations of the dynamics sustained over long periods of time—can play a fundamental role in determining the properties of collective behavior of both classical and quantum nonequilibrium systems. Rare dynamical fluctuations, however, occur with a probability that often decays exponentially in their time extent, thus making them difficult to be directly observed and exploited in experiments. Here, using methods from dynamical large deviations, we explain how rare dynamics of a given (Markovian) open quantum system can always be obtained from the typical realizations of an alternative (also Markovian) system. The correspondence between these two sets of realizations can be used to engineer and control open quantum systems with a desired statistics “on demand.” We illustrate these ideas by studying the photon emission behavior of a three-qubit system which displays a sharp dynamical crossover between active and inactive dynamical phases. American Physical Society 2018-07-10 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/53428/1/PhysRevA.98.010103.pdf Carollo, Federico, Garrahan, Juan P., Lesanovsky, Igor and Pérez-Espigares, Carlos (2018) Making rare events typical in Markovian open quantum systems. Physical Review A, 98 (1). ISSN 2469-9926 http://dx.doi.org/10.1103/physreva.98.010103 doi:10.1103/physreva.98.010103 doi:10.1103/physreva.98.010103 |
| spellingShingle | Carollo, Federico Garrahan, Juan P. Lesanovsky, Igor Pérez-Espigares, Carlos Making rare events typical in Markovian open quantum systems |
| title | Making rare events typical in Markovian open quantum systems |
| title_full | Making rare events typical in Markovian open quantum systems |
| title_fullStr | Making rare events typical in Markovian open quantum systems |
| title_full_unstemmed | Making rare events typical in Markovian open quantum systems |
| title_short | Making rare events typical in Markovian open quantum systems |
| title_sort | making rare events typical in markovian open quantum systems |
| url | https://eprints.nottingham.ac.uk/53428/ https://eprints.nottingham.ac.uk/53428/ https://eprints.nottingham.ac.uk/53428/ |