Anisotropic scattering of Bogoliubov excitations

Details Anisotropic scattering of Bogoliubov excitations Anisotropic scattering of Bogoliubov excitations

2008-02-29

arxiv.org/abs/0802.4366v2

Europhys. Lett. 83, 10006 (2008)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 5 figures

Scientific paper

10.1209/0295-5075/83/10006

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.

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