Tunnelling rates for the nonlinear Wannier-Stark problem

URN to cite this document:: urn:nbn:de:bvb:355-epub-17664
DOI to cite this document:: 10.5283/epub.1766

Wimberger, Sandro ; Schlagheck, Peter ; Mannella, Riccardo

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Date of publication of this fulltext: 05 Aug 2009 13:32

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Abstract

We present a method to numerically compute accurate tunnelling rates for a Bose-Einstein condensate which is described by the nonlinear Gross-Pitaevskii equation. Our method is based on a sophisticated real-time integration of the complex-scaled Gross-Pitaevskii equation, and it is capable of finding the stationary eigenvalues for the Wannier-Stark problem. We show that even weak nonlinearities ...