Characterization of the Bose-glass phase in low-dimensional lattices

Abstract

We study by numerical simulation a disordered Bose-Hubbard model in low-dimensional lattices. We show that a proper characterization of the phase diagram on finite disordered clusters requires the knowledge of probability distributions of physical quantities rather than their averages. This holds in particular for determining the stability region of the Bose-glass phase, the compressible but not superfluid phase that exists whenever disorder is present. This result suggests that a similar statistical analysis should be performed also to interpret experiments on cold gases trapped in disordered lattices, limited as they are to finite sizes.

4+ epsilon pages and 4 figures

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• Critical Properties of the Superfluid - Bose Glass Transition in Two Dimensions
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Bose-glass, superfluid, and rung-Mott phases of hard-core bosons in disordered two-leg ladders
• Enhancement of the Bose glass phase in the presence of an artificial gauge field
• Fragmentation and the Bose-glass phase transition of the disordered 1D Bose gas
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• How localized bosons manage to become superfluid
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking