Extended JC-Dicke model for a two-component atomic BEC inside a cavity

Abstract

We consider a trapped two-component atomic Bose-Einstein condensate (BEC), where each atom with three energy-levels is coupled to an optical cavity field and an external classical optical field as well as a microwave field to form the so-called $\Delta$-type configuration. After adiabatically eliminating the atomic excited state, an extended JC-Dicke model is derived under the rotating-wave approximation. The scaled ground-state energy and the phase diagram of this model Hamiltonian are investigated in the framework of mean-field approach. A new phase transition is revealed when the amplitude of microwave field changes its sign.

6 pages, 6 figures

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• Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator
• The effect of atomic collisions on the quantum phase transition of a Bose-Einstein condensate inside an optical cavity
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
• Asymmetric sequential Landau-Zener dynamics of Bose condensed atoms in a cavity