Non-Equilibrium Dynamics of C-QED Arrays in Strong Correlation Regime

作者:Zhang, Xin-Ding*; Li, Zhi-Hang; Zhang, Xiao-Ming
来源:International Journal of Theoretical Physics, 2016, 55(11): 4766-4772.
DOI:10.1007/s10773-016-3100-1

摘要

Recently increasing interests are attracted in the physics of controlled arrays of nonlinear cavity resonators because of the rapid experimental progress achieved in cavity and circuit quantum electrodynamics (QED). For a driven-dissipative two-dimentional planar C-QED array, standard Markov master equation is generally used to study the dynamics of this system. However, when in the case that the on-site photon-photon interaction enters strong correlation regime, standard Markov master equation may lead to incorrect results. In this paper we study the non-equilibrium dynamics of a two-dimentional C-QED array, which is homogeneously pumped by an external pulse, at the same time dissipation exits. We study the evolution of the average photon number of a single cavity by deriving a modified master equation to. In comparison with the standard master equation, the numerical result obtained by our newly derived master equation shows significant difference for the non-equilibrium dynamics of the system.

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