Ramping through Superfluid-to-Mott transition in the Bose-Hubbard Model

ORAL

Abstract

We discuss equilibrium and dynamic properties of cold bosonic atoms in optical lattices which can be described by the Bose-Hubbard Model. Motivated by recent experiments we study local density fluctuations and their correlations both in equilibrium and for a ramp from the superfluid to the Mott regime. We compare mean-field Gutzwiller approach with exact diagonalization studies and analyze the effect of a trapping potential. In order to describe fluctuations and finite temperature we include quadratic fluctuations on top of the mean field.

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Authors

  • Bernhard Wunsch

    • Harvard University

  • David Pekker

    • Harvard University

  • Takuya Kitagawa

    • Harvard University

  • Efstratios Manousakis

    • Florida State University

  • Eugene Demler

    • Harvard University