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International Journal of Modern Physics B

ENERGY SPECTRUM AND SUPERFLUID-MOTT INSULATOR PHASE TRANSITION OF ULTRACOLD BOSONS IN OPTICAL LATTICE

J.-Q. Liang, J.-Q. Liang, W.-M. Liu

Published Oct 10, 2003• 0 citations
Publisher

Abstract

Green function metheod is introduced to investigate ultracold dilute gas of bosonic atoms in an optical lattice which can be described by a Bose–Hubbard model. The superfluid–Mott insulator phase transition condition is determined by the related energy-band structure with an obvious interpretation of the transition mechanism.
DOI
10.1142/s0217979203022805

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With the method of Green's function, we investigate the energy spectra of two-component ultracold bosonic atoms in optical lattices. We End that there are two energy bands for each component. The critical condition of the superfluid-Mott insulator phase transition is determined by the energy band structure. We also find that the nearest neighboring and on-site interactions fail to change the structure of energy bands, but shift the energy bands only. According to the conditions of the phase transitions, three stable superfluid and Mott insulating phases can be found by adjusting the experiment parameters. We also discuss the possibility of observing these new phases and their transitions in further experiments.
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