Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

Details Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

2005-03-10

arxiv.org/abs/cond-mat/0503232v2

Phys. Rev. A 72, 013614 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures; final version. Title and abstract slightly changed. Minor typos corrected. Acknowledgments added and refe

Scientific paper

10.1103/PhysRevA.72.013614

The phase diagram of ultracold bosons in realistic optical superlattices is addressed via second-order {\it cell} strong coupling perturbative expansions for the Bose-Hubbard model describing the system. Taking advantage of the cell partition inherent in the complex periodic modulation of a superlattice, this technique allows for the description of the unusual loophole-shaped insulator domains that may occur in the phase diagram of the system, unlike the standard perturbative approach. Furthermore, comparisons with quantum Monte Carlo simulations show that our approach provides quantitatively satisfactory results at a significantly lower computational cost than brute force numerical methods. We explicitly consider the phase diagrams for two realistic 3-periodic optical superlattices. These show that many insulator domains exhibit an unusual reentrant character, which we discuss, and suggest that the quantum phase transition relevant to the loophole-shaped insulating domains does not require extreme experimental condition in order to be observed.

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