Volume 83, Number 1, July 2008
|Number of page(s)||6|
|Published online||18 June 2008|
Anisotropic scattering of Bogoliubov excitations
Universität Bayreuth - 95440 Bayreuth, Germany, EU
Corresponding author: firstname.lastname@example.org
Accepted: 22 May 2008
We consider elementary excitations of an interacting Bose-Einstein condensate in the mean-field framework. As a building block for understanding the dynamics of systems comprising interaction and disorder, we study the scattering of Bogoliubov excitations by a single external impurity potential. A numerical integration of the Gross-Pitaevskii equation shows that the single-scattering amplitude has a marked angular anisotropy. By a saddle point expansion of the hydrodynamic mean-field energy functional, we derive the relevant scattering amplitude including the crossover from sound-like to particle-like excitations. The very different scattering properties of these limiting cases are smoothly connected by an angular envelope function with a well-defined node of vanishing scattering amplitude. We find that the overall scattering is most efficient at the crossover from phonon-like to particle-like Bogoliubov excitations.
PACS: 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow / 05.60.Gg – Quantum transport / 67.10.Jn – Transport properties and hydrodynamics
© EPLA, 2008
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