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

Min�?, Ji?�; S�yler, ?ebnem G�ne?; Lesanovsky, Igor

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.

Citation

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. https://doi.org/10.1088/1367-2630/18/5/053035

• 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
• DOI: https://doi.org/10.1088/1367-2630/18/5/053035
• Keywords: cavity arrays, Jaynes–Cummings model, nonlinear dynamics, systems out of equilibrium
• Public URL: https://nottingham-repository.worktribe.com/output/788587
• Publisher URL: http://iopscience.iop.org/article/10.1088/1367-2630/18/5/053035/meta
• 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
• Contract Date: Jan 4, 2017