Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well

Details Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well

2008-12-23

arxiv.org/abs/0812.4387v1

Phys. Rev. A 80, 013610 (2009)

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.80.013610

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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