Superfluid to Bose-Glass transition in a 1D weakly interacting Bose gasSuperfluid to Bose-Glass transition in a 1D weakly interacting Bose gas
Faculty of Sciences. Physics

Theory of quantum systems and complex systems

article

2009New York, N.Y., 2009

Physics

Physical review letters. - New York, N.Y.

103(2009):3, 4 p.

0031-9007

030403

E-only publicatie

English (eng)

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.

https://repository.uantwerpen.be/docman/irua/abf56d/9bd3b94e.pdf