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arXiv · 1111.3666

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

J. C. C. Cestari·A. Foerster·M. A. Gusmão·M. Continentino
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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.

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J. C. C. Cestari, A. Foerster, M. A. Gusmão, M. Continentino. 2011-11-15. Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates. https://doi.org/10.1103/physreva.84.055601

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