Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential

Details Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential

2008-12-18

arxiv.org/abs/0812.3479v1

Eur. Phys. J. B 68, 435 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 9 figures, RevTeX 4

Scientific paper

10.1140/epjb/e2009-00069-7

Using exact diagonalisation and Density Matrix Renormalisation group (DMRG) approach, we analyse the transition to a localised state of a weakly interacting quasi-1D Bose gas subjected to a quasiperiodic potential. The analysis is performed by calculating the superfluid fraction, density profile, momentum distribution and visibility for different periodicities of the second lattice and in the presence (or not) of a weak repulsive interaction. It is shown that the transition is sharper towards the maximally incommensurate ratio between the two lattice periodicities, and shifted to higher values of the second lattice strength by weak repulsive interactions. We also relate our results to recent experiments.

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