Abstract
In this paper the exact quantum phase model is derived with the help of a mesoscopic spin model from weakly linked two-component Bose–Einstein condensates. It is shown that the π-phase state which is seen to be the degenerate ground state exists only in an extreme limit of parameter, Δ≪1. π-phase state becomes metastable in the parameter region 0<Δ<1 and unstable when Δ≥1. The low-lying energy band resulted from the quantum tunneling is obtained explicitly by means of instanton method. We also analyze the phase-dissipation due to quantum tunneling. Moreover, the decay of the metastable π-phase state via quantum tunneling is studied and the life time is found analytically.
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