Reference : Tunnelling rates for the nonlinear Wannier-Stark problem
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Tunnelling rates for the nonlinear Wannier-Stark problem
Wimberger, S. [ > > ]
Schlagheck, Peter mailto [Université de Liège - ULg > Département de physique > Physique quantique statistique >]
Mannella, R. [ > > ]
Journal of Physics : B Atomic Molecular & Optical Physics
Institute of Physics
Yes (verified by ORBi)
United Kingdom
[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.

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