Superfluid to Bose-Glass Transition in a 1D Weakly Interacting Bose Gas

• Published in: Physical Review Letters (ISSN: 0031-9007), vol. 103, p. 030403
• American Physical Society, 2009

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.

Keywords: Matrix Renormalization-Group ; Anderson Localization ; Einstein Condensate ; Systems ; Bosons

Reference

• LTPN-ARTICLE-2009-005
• doi:10.1103/PhysRevLett.103.030403
• View record in Web of Science

Record created on 2009-09-22, modified on 2012-11-08