Quantum Phase diagram and time-of-flight absorption pictures of ultracold Bose system in a square optical superlattice
arXiv:1512.07317 · doi:10.1209/0295-5075/113/16004
Abstract
In this letter, by the use of the generalized effective potential theory, with the help of process-chain approach under the framework of Kato formulation of perturbation expansion, we calculate out the quantum phase diagram up to 8-th order for an ultracold Bose system in a square optical superlattice. Base on these perturbative data, with the help of the linear fit extrapolation technique, more accurate results are gotten, which are in excellent agreement with recent Monte-Carlo numerical results. Moreover, by employing the generalized re-summed Green's function method and cumulant expansion, the momentum distribution function of the system is also calculated analytically and the time-of-flight absorption pictures of the system are plotted.
arXiv comment6 pages, 6 figures
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