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The European Physical Journal B

, Volume 68, Issue 3, pp 435–443 | Cite as

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

  • X. Deng
  • R. Citro
  • E. Orignac
  • A. MinguzziEmail author
Article

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.

PACS

03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations 71.23.An Theories and models; localized states 68.65.Cd Superlattices 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Université Joseph Fourier, Laboratoire de Physique et Modélisation des Mileux Condensés, CNRS B.P. 166GrenobleFrance
  2. 2.Department of Physics “E.R. Caianiello” and C.N.I.S.M.Università di SalernoSalernoItaly
  3. 3.Université de Lyon, Laboratoire de Physique de l’École Normale Supérieure de Lyon, CNRS UMR5672Lyon Cedex 07France

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