Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays
We analyze in detail an open cavity array using mean-field description, where each cavity field is coupled to a number of three-level atoms. Such system is highly tunable and can be described by a Jaynes-Cummings like Hamiltonian with additional non-linear terms. In the single cavity case we provide...
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| Format: | Article |
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IOP Publishing
2016
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| Online Access: | https://eprints.nottingham.ac.uk/39525/ |
| _version_ | 1848795857801969664 |
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| author | Minář, Jiří Söyler, Şebnem Güneş Lesanovsky, Igor |
| author_facet | Minář, Jiří Söyler, Şebnem Güneş Lesanovsky, Igor |
| author_sort | Minář, Jiří |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We analyze in detail an open cavity array using mean-field description, where each cavity field is coupled to a number of three-level atoms. Such system is highly tunable and can be described by a Jaynes-Cummings like Hamiltonian with additional non-linear terms. In the single cavity case we provide simple analytic solutions and show, that the system features a bistable region. The extra non-linear term gives rise to a rich dynamical behaviour including occurrence of limit cycles through Hopf bifurcations. In the limit of large non-linearity, the system exhibits an Ising like phase transition as the coupling between light and matter is varied. We then discuss how these results extend to the two-dimensional case. |
| first_indexed | 2025-11-14T19:38:45Z |
| format | Article |
| id | nottingham-39525 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:38:45Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-395252020-05-04T17:50:19Z https://eprints.nottingham.ac.uk/39525/ Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays Minář, Jiří Söyler, Şebnem Güneş Lesanovsky, Igor We analyze in detail an open cavity array using mean-field description, where each cavity field is coupled to a number of three-level atoms. Such system is highly tunable and can be described by a Jaynes-Cummings like Hamiltonian with additional non-linear terms. In the single cavity case we provide simple analytic solutions and show, that the system features a bistable region. The extra non-linear term gives rise to a rich dynamical behaviour including occurrence of limit cycles through Hopf bifurcations. In the limit of large non-linearity, the system exhibits an Ising like phase transition as the coupling between light and matter is varied. We then discuss how these results extend to the two-dimensional case. IOP Publishing 2016-05-26 Article PeerReviewed Minář, Jiří, Söyler, Şebnem Güneş and Lesanovsky, Igor (2016) Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays. New Journal of Physics, 18 . 053035/1-053035/16. ISSN 1367-2630 cavity arrays Jaynes–Cummings model nonlinear dynamics systems out of equilibrium http://iopscience.iop.org/article/10.1088/1367-2630/18/5/053035/meta doi:10.1088/1367-2630/18/5/053035 doi:10.1088/1367-2630/18/5/053035 |
| spellingShingle | cavity arrays Jaynes–Cummings model nonlinear dynamics systems out of equilibrium Minář, Jiří Söyler, Şebnem Güneş Lesanovsky, Igor Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title | Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title_full | Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title_fullStr | Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title_full_unstemmed | Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title_short | Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays |
| title_sort | non-equilibrium dynamics of non-linear jaynes-cummings model in cavity arrays |
| topic | cavity arrays Jaynes–Cummings model nonlinear dynamics systems out of equilibrium |
| url | https://eprints.nottingham.ac.uk/39525/ https://eprints.nottingham.ac.uk/39525/ https://eprints.nottingham.ac.uk/39525/ |