Nonlinear Transport of Bose-Einstein Condensates Through Waveguides with Disorder

Tobias Paul 1, Patricio Leboeuf 2, Nicolas Pavloff 2, Klaus Richter 1, Peter Schlagheck 1

Physical Review A: Atomic, Molecular and Optical Physics 72 (2005) 063621

We study the coherent flow of a guided Bose-Einstein condensate incident over a disordered region of length L. We introduce a model of disordered potential that originates from magnetic fluctuations inherent to microfabricated guides. This model allows for analytical and numerical studies of realistic transport experiments. The repulsive interaction among the condensate atoms in the beam induces different transport regimes. Below some critical interaction (or for sufficiently small L) a stationary flow is observed. In this regime, the transmission decreases exponentially with L. For strong interaction (or large L), the system displays a transition towards a time dependent flow with an algebraic decay of the time averaged transmission.

  • 1. Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany,
    Universität Regensburg
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud