Non-equilibrium dynamics of a nonlinear Jaynes–Cummings model in cavity arrays

Autor: Jiří Minář, Şebnem Güneş Söyler, Igor Lesanovsky
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: New Journal of Physics, Vol 18, Iss 5, p 053035 (2016)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/18/5/053035
Popis: 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.
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