Abstract
The generalized purity is employed for investigating the process of coherence loss and delocalization of the Q function in the Bloch sphere of a two-mode Bose-Einstein condensate in a symmetrical double well with cross collision. Quantum phase transition of the model is signaled by the generalized purity as a function of an appropriate parameter of the Hamiltonian and the number of particles (N). A power-law dependence of the critical parameter with N is derived.
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