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EnglishWe 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 have significant effects in the vicinity of very sensitive resonant tunnelling peaks, which occur in the rates as a function of the Stark field amplitude. The mean-field interaction induces a broadening and a shift of the peaks, and the latter is explained by an analytic perturbation theory.
| Autori interni: | |
| Autori: | Wimberger S; Schiagheck P; Mannella R |
| Titolo: | Tunnelling rates for the nonlinear Wannier-Stark problem |
| Anno del prodotto: | 2006 |
| Digital Object Identifier (DOI): | 10.1088/0953-4075/39/3/024 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11568/103583
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