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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 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.


Minář, J., Söyler, Ş. G., & Lesanovsky, I. (2016). Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays. New Journal of Physics, 18(5), 1-16.

Journal Article Type Article
Acceptance Date May 6, 2016
Online Publication Date May 26, 2016
Publication Date May 26, 2016
Deposit Date Jan 4, 2017
Publicly Available Date Jan 4, 2017
Journal New Journal of Physics
Electronic ISSN 1367-2630
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 18
Issue 5
Article Number 053035
Pages 1-16
Keywords cavity arrays, Jaynes–Cummings model, nonlinear dynamics, systems out of equilibrium
Public URL
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Additional Information Journal title: New Journal of Physics; Article type: paper; Article title: Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays; Copyright information: © 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft; License information: cc-by Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Date received: 2016-02-16; Date accepted: 2016-05-06; Online publication date: 2016-05-26


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