Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-04-23
Phys. Rev. Lett. 103, 030403 (2009)
Physics
Condensed Matter
Quantum Gases
4 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.103.030403
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 behaviour 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.
Fontanesi Luca
Savona Vincenzo
Wouters Michiel
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