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

Laurent Sanchez-Palencia 1
1 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00090760
Contributor : Laurent Sanchez-Palencia <>
Submitted on : Thursday, November 30, 2006 - 1:45:59 PM
Last modification on : Thursday, November 12, 2020 - 10:12:08 AM
Long-term archiving on: : Friday, September 24, 2010 - 10:45:45 AM

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Laurent Sanchez-Palencia. Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials. Physical Review A, American Physical Society, 2006, 74, pp.053625. ⟨10.1103/PhysRevA.74.053625⟩. ⟨hal-00090760v4⟩

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