Tunnelling rates for the nonlinear Wannier-Stark problem

[en] 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 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.

Disciplines :

Physics

Author, co-author :

Wimberger, S.

Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique

Mannella, R.

Language :

English

Title :

Tunnelling rates for the nonlinear Wannier-Stark problem

Publication date :

2006

Journal title :

Journal of Physics : B Atomic Molecular and Optical Physics

ISSN :

0953-4075

eISSN :

1361-6455

Publisher :

Institute of Physics, Bristol, United Kingdom

Volume :

Issue :

Pages :

729-740

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 05 November 2010

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