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

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.


Published in:
Physical Review Letters, 103, 030403
Year:
2009
Publisher:
American Physical Society
ISSN:
0031-9007
Keywords:
Laboratories:




 Record created 2009-09-22, last modified 2018-03-17

Publisher's version:
Download fulltext
PDF

Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)