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

Journal Article · Tue Nov 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.055601· OSTI ID:22095501

Cestari, J. C. C.; Foerster, A.; Gusmao, M. A. ^[1]; Continentino, M. ^[2]

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1. Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul (Brazil)
2. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil)

We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for noninteracting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudodisorder due to a potential incommensurate with the lattice, which is usually called the Aubry-Andre 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 noninteracting quantum critical point of the Aubry-Andre model.

• OSTI ID: 22095501
• Journal Information: Physical Review. A, Vol. 84, Issue 5; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
DIELECTRIC MATERIALS
INTERATOMIC FORCES
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
POTENTIALS
SUPERFLUIDITY