Localization of weakly interacting Bose gas in quasiperiodic potential

Abstract

We study the localization properties of weakly interacting Bose gas in a quasiperiodic potential commonly known as Aubry-André model. Effect of interaction on localization is investigated by computing the `superfluid fraction' and `inverse participation ratio'. For interacting Bosons the inverse participation ratio increases very slowly after the localization transition due to `multisite localization' of the wave function. We also study the localization in Aubry-André model using an alternative approach of classical dynamical map, where the localization is manifested by chaotic classical dynamics. For weakly interacting Bose gas, Bogoliubov quasiparticle spectrum and condensate fraction are calculated in order to study the loss of coherence with increasing disorder strength. Finally we discuss the effect of trapping potential on localization of matter wave.

10 pages, 13 figures

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Cited by in corpus (11)

• Anomalous transport in the Aubry-André-Harper model in isolated and open systems
• Drive Induced Delocalization in Aubry-André Model
• Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Bosons with incommensurate potential and spin-orbit coupling
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Metallic-insulator phase transitions in the extended Harper model
• Relaxation of ferromagnetic domains in a disordered lattice in 2D
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Localization and persistent currents in a quasiperiodic disordered helical lattice
• Fractal Quasicondensation in One Dimension