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Title: Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates

Abstract

We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andre models in the noninteracting limit using exact diagonalization. We show that, in addition to the standard superfluid fraction, other tools such as the entanglement and fidelity can provide clear signatures of the transition. Interestingly, the fidelity exhibits good sensitivity even for small lattices. Effects of the system size on these quantities are analyzed in detail, including the determination of a finite-size-scaling law for the critical disorder strength in the case of the Anderson model.

Authors:
; ;  [1]
  1. Instituto de Fisica, Universidade Federal do Rio Grande do Sul, Porto Alegre, Rio Grande do Sul (Brazil)
Publication Date:
OSTI Identifier:
21528957
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.82.063634; (c) 2010 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOSE-EINSTEIN CONDENSATION; ONE-DIMENSIONAL CALCULATIONS; QUANTUM ENTANGLEMENT; SCALING LAWS; SENSITIVITY; SUPERFLUIDITY

Citation Formats

Cestari, J. C. C., Foerster, A., and Gusmao, M. A. Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.063634.
Cestari, J. C. C., Foerster, A., & Gusmao, M. A. Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates. United States. doi:10.1103/PHYSREVA.82.063634.
Cestari, J. C. C., Foerster, A., and Gusmao, M. A. Wed . "Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates". United States. doi:10.1103/PHYSREVA.82.063634.
@article{osti_21528957,
title = {Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates},
author = {Cestari, J. C. C. and Foerster, A. and Gusmao, M. A.},
abstractNote = {We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andre models in the noninteracting limit using exact diagonalization. We show that, in addition to the standard superfluid fraction, other tools such as the entanglement and fidelity can provide clear signatures of the transition. Interestingly, the fidelity exhibits good sensitivity even for small lattices. Effects of the system size on these quantities are analyzed in detail, including the determination of a finite-size-scaling law for the critical disorder strength in the case of the Anderson model.},
doi = {10.1103/PHYSREVA.82.063634},
journal = {Physical Review. A},
number = 6,
volume = 82,
place = {United States},
year = {Wed Dec 15 00:00:00 EST 2010},
month = {Wed Dec 15 00:00:00 EST 2010}
}