Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate

Nicolas Bilas (1) , Nicolas Pavloff (1)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the ``one-dimensional mean field regime'', in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.

Domaines: Autre [cond-mat.other]

Nicolas Bilas, Nicolas Pavloff. Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate. The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2006, 40, pp.387-397. ⟨hal-00115547⟩