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

Autor:	Cestari, J. C. C., Foerster, A., Gusmão, M. A.
Rok vydání:	2011
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Quantum Gases
Zdroj:	Phys. Rev. A 82 (2010) 063634
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.82.063634
Popis:	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. Comment: 15 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.0577 Zobrazit plný text záznamu View this record from Arxiv