Localization of weakly interacting Bose gas in quasiperiodic potential

Sayak Ray, Mohit Pandey, Anandamohan Ghosh, Subhasis Sinha

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We study the localization properties of weakly interacting Bose gas in a quasiperiodic potential. The Hamiltonian of the non-interacting system reduces to the well known 'Aubry-André model', which shows the localization transition at a critical strength of the potential. In the presence of repulsive interaction we observe multi-site localization and obtain a phase diagram of the dilute Bose gas by computing the superfluid fraction and the inverse participation ratio. We construct a low-dimensional classical Hamiltonian map and show that the onset of localization is manifested by the chaotic phase space dynamics. The level spacing statistics also identify the transition to localized states resembling a Poisson distribution that are ubiquitous for both non-interacting and interacting systems. We also study the quantum fluctuations within the Bogoliubov approximation and compute the quasiparticle energy spectrum. Enhanced quantum fluctuation and multi-site localization phenomenon of non-condensate density are observed above the critical coupling of the potential. We briefly discuss the effect of the trapping potential on the localization of matter wave.

Original languageEnglish
Article number013013
JournalNew Journal of Physics
Issue number1
StatePublished - 1 Jan 2016
Externally publishedYes


  • localization
  • quantum gas
  • superfluidity

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Localization of weakly interacting Bose gas in quasiperiodic potential'. Together they form a unique fingerprint.

Cite this