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Nonequilibrium Quantum Optical Response of Two Optical Mode Dicke Model
Aranya B. Bhattacherjee and Surabhi Yadav
We investigate the collective dynamics and dynamical phases of the two optical mode non-equilibrium Dicke model.We show that the collective interaction of the ensemble of atoms with all the optical modes of the system is the determining factor for the superradiant phase transition instead of interaction with each individual mode. The critical condition to observe the superradiant phase transition is derived for the multimode Dicke model. The mean-field dynamics of the two optical mode Dicke model is analyzed for above an below the superradiant phase. It is found that tuning one of the mode influences the dynamics associated with the second mode. We also analyze the dynamical phase diagram of the two-mode case by studying the time evolution of the collective atomic spin operator 𝐽𝑧(𝑡) in the stable and the unstable regions of the phase diagrams.
Keywords: Multi-mode Dicke model, superradiant phase diagram, nonequilibrium dynamics