Quantum phase transition in binary - mixture boson systems when chemistry potential changed

Abstract

    Quantum phase transition in binary-mixture boson systems is studied by means of the Cornwall- Jackiw-Tomboulis effective potential approach in the improved double-bubble approximation which preserves the Goldstone theorem. Its main feature is that the transition is second order occurring when the chemistry potential is approached to critical value associating with two types including inverse symmetry breaking transition and symmetry restoration transition.