Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-09-02
Physical Review A 74 (2006) 053625
Physics
Condensed Matter
Other Condensed Matter
The word "screening" has been changed to "smoothing" to avoid confusions with other effects discussed in the literature. This
Scientific paper
10.1103/PhysRevA.74.053625
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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