We analytically investigate the ground-state properties of two-componentBose-Einstein condensates with few ⁸⁷Rb atoms inside a high-qualitycavity quantum electrodynamics. In the SU(2) representation for atom, thisquantum system can be realized a generalized Dicke model with a quadratic termarising from the interatomic interactions, which can be controlledexperimentally by Feshbach resonance technique. Moreover, this weakinterspecies interaction can give rise to an important zero-temperature quantumphase transition from the normal to the superradiant phases, where the atomicensemble in the normal phase is collectively unexcited while is macroscopicallyexcited with coherent radiations in the superradiant phase. Finally, we proposeto observe this predicted quantum phase transition by measuring the direct andstriking signatures of the photon field in terms of a heterodyne detector outof the cavity.
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