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

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

2011-03-02

arxiv.org/abs/1103.0577v1

Phys. Rev. A 82 (2010) 063634

Physics

Condensed Matter

Statistical Mechanics

15 pages, 7 figures

Scientific paper

10.1103/PhysRevA.82.063634

We investigate the disorder-induced localization transition in Bose-Einstein condensates for the Anderson and Aubry-Andre models in the non-interacting 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.

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