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Article Dans Une Revue The European Physical Journal B: Condensed Matter and Complex Systems Année : 2009

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

Résumé

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.

Dates et versions

hal-00377873 , version 1 (23-04-2009)

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Xiaolong Deng, Roberta Citro, Anna Minguzzi, Edmond Orignac. Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential. The European Physical Journal B: Condensed Matter and Complex Systems, 2009, 68, pp.435. ⟨hal-00377873⟩
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