Phase diagram and visibility of optically trapped bosons

R. T. Scalettar, M. Rigol, V. G. Rousseau, P. Sengupta, G. G. Batrouni, F. Hébert, P. J.H. Denteneer, A. Muramatsu, M. Troyer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Over the last several years, the boson-Hubbard Hamiltonian has been widely used as an effective model of the physics of ultra-cold optically trapped atoms. In this paper we will review its equilibrium properties, in one dimension, both in the absence and in the presence of an external potential. Then we will describe some new results for the visibility V of the interference pattern obtained after the free expansion of a gas. We will show that the evolution of V exhibits kinks with increasing interaction strength U/t, replicating phenomena seen experimentally. The behavior of the density profiles n i correlates well with the features in V. These profiles reveal an unexpected 'freezing' - a range of interaction strengths in which they remain unchanged. Finally, we show that V exhibits an increase with U/t signaling when a central n i = 2 Mott region melts and coherence develops between two superfluid regions with local densities 1 < n i < 2.

Original languageEnglish (US)
Title of host publicationEffective Models for Low-Dimensional Strongly Correlated Systems
Pages232-245
Number of pages14
DOIs
StatePublished - Feb 15 2006
EventEffective Models for Low-Dimensional Strongly Correlated Systems - Peyresq, France
Duration: Sep 12 2005Sep 16 2005

Publication series

NameAIP Conference Proceedings
Volume816
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherEffective Models for Low-Dimensional Strongly Correlated Systems
CountryFrance
CityPeyresq
Period9/12/059/16/05

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Scalettar, R. T., Rigol, M., Rousseau, V. G., Sengupta, P., Batrouni, G. G., Hébert, F., Denteneer, P. J. H., Muramatsu, A., & Troyer, M. (2006). Phase diagram and visibility of optically trapped bosons. In Effective Models for Low-Dimensional Strongly Correlated Systems (pp. 232-245). (AIP Conference Proceedings; Vol. 816). https://doi.org/10.1063/1.2178045