Non-equilibrium dynamics of non-linear Jaynes-Cummings model in cavity arrays

Minář, Jiří and 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

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Abstract

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.

Item Type: Article
Keywords: cavity arrays, Jaynes–Cummings model, nonlinear dynamics, systems out of equilibrium
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: https://doi.org/10.1088/1367-2630/18/5/053035
Depositing User: Minar, Jiri
Date Deposited: 04 Jan 2017 09:46
Last Modified: 04 Jan 2017 09:49
URI: http://eprints.nottingham.ac.uk/id/eprint/39525

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