Non-equilibrium dynamics of a nonlinear 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 a system is highly tunable and can be described by a Jaynes–Cummings like Hamiltonian with additional nonlinear terms. In the single cavity case we provid...
| Published in: | New Journal of Physics |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2016-01-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/5/053035 |
| _version_ | 1851941155728523264 |
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| author | Jiří Minář Şebnem Güneş Söyler Igor Lesanovsky |
| author_facet | Jiří Minář Şebnem Güneş Söyler Igor Lesanovsky |
| author_sort | Jiří Minář |
| collection | DOAJ |
| container_title | New Journal of Physics |
| 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 a system is highly tunable and can be described by a Jaynes–Cummings like Hamiltonian with additional nonlinear terms. In the single cavity case we provide simple analytic solutions and show, that the system features a bistable region. The extra nonlinear term gives rise to a rich dynamical behavior including occurrence of limit cycles through Hopf bifurcations. In the limit of large nonlinearity, 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. |
| format | Article |
| id | doaj-art-eac3c413fdba4a35b83047c708de5bea |
| institution | Directory of Open Access Journals |
| issn | 1367-2630 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| spelling | doaj-art-eac3c413fdba4a35b83047c708de5bea2025-08-19T21:50:23ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118505303510.1088/1367-2630/18/5/053035Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arraysJiří Minář0Şebnem Güneş Söyler1Igor Lesanovsky2School of Physics and Astronomy, University of Nottingham , University Park, NG7 2RD, Nottigham, UKSchool of Physics and Astronomy, University of Nottingham , University Park, NG7 2RD, Nottigham, UKSchool of Physics and Astronomy, University of Nottingham , University Park, NG7 2RD, Nottigham, UKWe 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 a system is highly tunable and can be described by a Jaynes–Cummings like Hamiltonian with additional nonlinear terms. In the single cavity case we provide simple analytic solutions and show, that the system features a bistable region. The extra nonlinear term gives rise to a rich dynamical behavior including occurrence of limit cycles through Hopf bifurcations. In the limit of large nonlinearity, 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.https://doi.org/10.1088/1367-2630/18/5/053035cavity arraysJaynes–Cummings modelnonlinear dynamicssystems out of equilibrium |
| spellingShingle | Jiří Minář Şebnem Güneş Söyler Igor Lesanovsky Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays cavity arrays Jaynes–Cummings model nonlinear dynamics systems out of equilibrium |
| title | Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays |
| title_full | Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays |
| title_fullStr | Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays |
| title_full_unstemmed | Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays |
| title_short | Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays |
| title_sort | non equilibrium dynamics of a nonlinear jaynes cummings model in cavity arrays |
| topic | cavity arrays Jaynes–Cummings model nonlinear dynamics systems out of equilibrium |
| url | https://doi.org/10.1088/1367-2630/18/5/053035 |
| work_keys_str_mv | AT jiriminar nonequilibriumdynamicsofanonlinearjaynescummingsmodelincavityarrays AT sebnemgunessoyler nonequilibriumdynamicsofanonlinearjaynescummingsmodelincavityarrays AT igorlesanovsky nonequilibriumdynamicsofanonlinearjaynescummingsmodelincavityarrays |