Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
arXiv:1002.0557 · doi:10.1209/0295-5075/90/10014
Abstract
We provide an in-depth characterization of a three modes Bose-Einstein condensate trapped in a symmetric circular triple well potential. We analyze how a subsystem independent measure of entanglement, the purity related to the su(3) algebra, scales for increasing number of atoms and signals correctly the quantum phase transition between two dynamical regimes in a specific arrangement. Moreover, this measure, which is intrinsically related to particle entanglement, also depicts if some squeezing is occurring when we consider the system's ground state.
6 pages, 5 figures
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