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

2008/12/18 by Xiaolong Deng, R. Citro, Roberta Citro +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.other

paper · pdf · doi:10.1140/epjb/e2009-00069-7

published as Eur. Phys. J. B 68, 435 (2009) · 12 pages, 9 figures, RevTeX 4

arxiv created 2008/12/18 · openalex publication_date 2009/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations