HAL: hal-00090760, version 4

arXiv: cond-mat/0609036

DOI: 10.1103/PhysRevA.74.053625

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Physical Review A: Atomic, Molecular and Optical Physics 74 (2006) 053625

Available versions:

v1 (2006-09-02)

v2 (2006-10-31)

v3 (2006-11-29)

v4 (2006-11-30)

Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials

Laurent Sanchez-Palencia 1

(2006)

We theoretically investigate the physics of interacting Bose-Einstein condensates at equilibrium in a weak (possibly random) potential. We develop a perturbation approach to derive the condensate wavefunction for an amplitude of the potential smaller than the chemical potential of the condensate and for an arbitrary spatial variation scale of the potential. Applying this theory to disordered potentials, we find in particular that, if the healing length is smaller than the correlation length of the disorder, the condensate assumes a delocalized Thomas-Fermi profile. In the opposite situation where the correlation length is smaller than the healing length, we show that the random potential can be significantly smoothed and, in the meanfield regime, the condensate wavefunction can remain delocalized, even for very small correlation lengths of the disorder.

1:	Laboratoire Charles Fabry de l'Institut d'Optique (LCFIO)
	Institut d'Optique Graduate School (IOGS) – CNRS : UMR8501 – Université Paris XI - Paris Sud

Research team: lcf-oa

Subject

:

Physics/Condensed Matter/Other

Keyword(s): ultracold atoms – Bose-Einstein condensation – disorder – speckle – diffusion – localization – screening – smoothing – delocalization

hal-00090760, version 4

http://hal.archives-ouvertes.fr/hal-00090760

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From: Laurent Sanchez-Palencia <>

Submitted on: Thursday, 30 November 2006 13:45:59

Updated on: Tuesday, 6 July 2010 17:38:36