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Tunnelling rates for the nonlinear Wannier-Stark problem

Wimberger, Sandro and Schlagheck, Peter and Mannella, Riccardo (2006) Tunnelling rates for the nonlinear Wannier-Stark problem. Journal of physics B, Atomic, molecular and optical physics, 39 . p. 729. ISSN 1361-6455

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SUMMARY 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 analytic perturbation theory.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/03 - Fisica della materia
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 06 Aug 2013 13:47
Last Modified: 06 Aug 2013 13:47
URI: http://eprints.adm.unipi.it/id/eprint/1427

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