title: Superfluid to Bose-Glass transition in a 1D weakly interacting Bose gas.
abstract: We study the one-dimensional Bose gas in spatially correlated disorder at zero temperature, using an extended density-phase Bogoliubov method. We analyze, in particular, the decay of the one-body density matrix and the behavior of the Bogoliubov excitations across the phase boundary. We observe that the transition to the Bose-glass phase is marked by a power-law divergence of the density of states at low energy. A measure of the localization length displays a power-law energy dependence in both regions, with the exponent equal to -1 at the boundary. We draw the phase diagram of the superfluid-insulator transition in the limit of small interaction strength.
authors: Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne EPFL, CH-1015 Lausanne, Switzerland. luca.fontanesi@epfl.ch
authors: Luca
authors: L
authors: Fontanesi
authors: Michiel
authors: M
authors: Wouters
authors: Vincenzo
authors: V
authors: Savona