Quantum phase transitions of ultra-cold Bose system in non-rectangular optical lattices

Details Quantum phase transitions of ultra-cold Bose system in non-rectangular optical lattices Quantum phase transitions of ultra-cold Bose system in non-rectangular optical lattices

2011-12-18

arxiv.org/abs/1112.4161v1

Physics

Condensed Matter

Statistical Mechanics

3 figures

Scientific paper

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective potential, by treating the hopping term in Bose-Hubbard model as perturbation, we calculate the phase boundaries analytically for different integer filling factors. Our analytical results are in good agreement with recent numerical results.

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