The quantum coherence between the internal states has a significant impact on physical properties of a spinor many-body system.Using the mean-field theory,this work studies the ground state phase diagram of a pseudospin-half Bose gas with vanishing small Rabi coupling strength.When the intra-spin repulsive interactions are in an asymmetric form,the phase separation of two satu-rated ferromagnetic condensate with opposite spin-polarization occurs under the appropriate detuning parameters.The density inter-val for the phase-separated state is determined from the thermodynamic balance conditions.In the transition region,the pressure-vol-ume curve shows a characteristic plateau,similar to a classic liquid-gas transition.At the phase boundary between the paramagnetic state and phase-separated state,the isothermal compressibility diverges.The contrast of such phase-separation with the immiscible phenomenon in the incoherent Bose mixture is discussed.The results obtained in this paper provide a basis for the further study of the ground state properties of a spinor condensate with finite Rabi coupling strength.
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