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Journal of Sichuan Normal University

Energy Spectrum and Quantum Phase Transition of Dipolar Bosons in Optical Lattices

Zhengwei Xie

Published Jan 1, 2005• 0 citations
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Abstract

In terms of Green function method we study the energy spectrum of dipolar bosons with the dipole-dipole interaction in an optical lattice. The excitation spectrum of the energy-band structure shows that Superfluid-Mott-Insulator phase transition condition of the dipolar bosons is determined by interatomic repulsion, dipolar bosons interaction and the tunnel coupling constant. The superfluid phase is also obtained by Bogoliubov transformation method.

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In terms of Green function method we study the energy spectrum of dipolar bosons with the dipole-dipole interaction in an optical lattice. The excitation spectrum of the energy-band structure shows that Superfluid-Mott-Insulator phase transition condition of the dipolar bosons is determined by interatomic repulsion, dipolar bosons interaction and the tunnel coupling constant. The superfluid phase is also obtained by Bogoliubov transformation method.
In terms of the Green's function method we study the energy spectrum of dipolar boson atoms with the dipole-dipole interaction in an optical lattice. The Superfluid-Mott-Insulator phase transition condition of the dipolar bosons is determined from the energy-band structure of the excitation spectrum as a function of interatomic repulsion, dipolar bosons interaction and the tunnel coupling constants. The superfluid phase is explained explicitly from the energy spectrum derived in terms of the Bogoliubov approach as well.
The superfluid--Mott-insulator phase transition of dipolar bosons in optical lattice is analyzed. By using the Bogoliubov approach and decoupling approximation, the energy spectrum and zero-temperature phase diagram of dipolar bosonic atoms in an optical lattice are obtained analytically. The results show that in these systems the superfluid--Mott-insulator phase transition can be induced by tuning the dipole-dipole interaction and the position of the phase boundary can be moved when the on-site interaction is varied. Corresponding to a large on-site interaction, the dipole-dipole interaction is attractive near the critical point of the superfluid--Mott-insulator phase transition.
In this letter, the superfluid-Mott-insulator phase transition of two-species cold bosonic atoms in an optical lattices is studied. The Hamiltonian of this model is diagonalized by means of Bogliubov transformations and by the inversion symmetry of the optical lattice, the energy spectrum of this system is obtained. From the energy gap of the excitation spectrum, the quantum phase transition condition is obtained and it is determined by the competition between the interatomic repulsions and the tunnel coupling. It is found that there exists an ordinary fluid phase when taking the zero wave-vector limit.
Abstract With the method of Green’s function, we investigate the energy spectra of two-component ultracold bosonic atoms in optical lattices. We find 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.