Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates

Abstract

We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for non-interacting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudo-disorder due to a potential incommensurate with the lattice, which is usually called the Aubry-André model. A scaling analysis of numerical data for the superfluid fraction for different lattice sizes allows us to determine quantum critical exponents characterizing the disorder-driven superfluid-insulator transition. We also briefly discuss the effect of interactions close to the non-interacting quantum critical point of the Aubry-André model.

5 pages, 4 figures

References in corpus (4)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Disordered quantum gases under control
• Delocalization and Heisenberg's uncertainty relation
• Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates

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