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

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dc.creatorBuonsante, Pierfrancesco
dc.creatorVezzani, Alessandro
dc.date2005-03-10
dc.date2005-07-29
dc.date.accessioned2026-07-07T06:25:18Z
dc.date.available2026-07-07T06:25:18Z
dc.descriptionThe 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.
dc.description11 pages, 4 figures; final version. Title and abstract slightly changed. Minor typos corrected. Acknowledgments added and references updated
dc.identifierhttps://arxiv.org/abs/cond-mat/0503232
dc.identifierhttp://arxiv.org/abs/cond-mat/0503232
dc.identifierPhys. Rev. A 72, 013614 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.013614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96797
dc.subjectStatistical Mechanics
dc.titleCell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
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