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Anderson Localization of a Bose-Einstein Condensate in a 3D Random Potential

2008/01/31 by S. E. Skipetrov, A. Minguzzi, B. A. van Tiggelen +2
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.100.165301

published as Phys. Rev. Lett. 100, 165301 (2008) · 4 pages, 2 figures

arxiv created 2008/03/28 · openalex publication_date 2008/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the long-time behavior of the condensate density is controlled by a single parameter equal to the ratio of the mobility edge and the chemical potential of the condensate. We find that the two critical exponents of the localization transition determine the evolution of the condensate density in time and space.

Citations