Quantum Critical Behavior of Two Coupled Bose-Einstein Condensates

Details Quantum Critical Behavior of Two Coupled Bose-Einstein Condensates Quantum Critical Behavior of Two Coupled Bose-Einstein Condensates

2004-10-17

arxiv.org/abs/cond-mat/0410423v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, LaTex, 3 figures

Scientific paper

10.1016/j.physleta.2005.03.027

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock regimes, and the entanglement are calculated exactly as functions of the phase parameter and the number of bosons. The results show that the system goes though a phase transition and that the critical behavior is enhanced in the thermodynamic limit.

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