Tunnelling rates for the nonlinear Wannier-Stark problem

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dc.creatorWimberger, Sandro
dc.creatorSchlagheck, Peter
dc.creatorMannella, Riccardo
dc.date2005-12-19
dc.date.accessioned2026-07-07T06:53:33Z
dc.date.available2026-07-07T06:53:33Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0512481
dc.identifierhttp://arxiv.org/abs/cond-mat/0512481
dc.identifierJ. Phys. B: At. Mol. Opt. Phys. 39 729-740 (2006)
dc.identifierdoi:10.1088/0953-4075/39/3/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105625
dc.subjectOther Condensed Matter
dc.subjectAtomic Physics
dc.subjectComputational Physics
dc.subjectQuantum Physics
dc.titleTunnelling rates for the nonlinear Wannier-Stark problem
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