Correlations and superfluidity of a one-dimensional Bose gas in a quasiperiodic potential

Abstract

We consider the correlations and superfluid properties of a Bose gas in an external potential. Using a Bogoliubov scheme, we obtain expressions for the correlation function and the superfluid density in an arbitrary external potential. These expressions are applied to a one-dimensional system at zero temperature subject to a quasiperiodic modulation. The critical parameters for the Bose glass transition are obtained using two different criteria and the results are compared. The Lifshits glass is seen to be the limiting case for vanishing interactions.

Published in PRA, typos corrected

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Cited by in corpus (5)

• Correlation function of weakly interacting bosons in a disordered lattice
• Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Cavity-induced switching between localized and extended states in a non-interacting Bose-Einstein condensate
• Temporal correlations of elongated Bose gases at finite temperature