Nonlinear Schrodinger equations with a multiple-well potential and a Stark-type perturbation

PHYSICA D-NONLINEAR PHENOMENA

卷:321

Article

Sacchetti, Andrea¹ 

[1] Univ Modena & Reggio Emilia, Dept Phys Comp Sci & Math, Via G Campi 213-A, I-41125 Modena, Italy

关键词: Bose-Einstein condensates;    Gross-Pitaevskii equations;    Bloch oscillations;   

DOI  :  10.1016/j.physd.2016.02.016

来源: Elsevier

【 摘 要 】

A Bose Einstein condensate (BEC) confined in a one-dimensional lattice under the effect of an external homogeneous field is described by the Gross-Pitaevskii equation. Here we prove that such an equation can be reduced, in the semiclassical limit and in the case of a lattice with a finite number of wells, to a finite-dimensional discrete nonlinear Schrodinger equation. Then, by means of numerical experiments we show that the BEC's center of mass exhibits an oscillating behavior with modulated amplitude; in particular, we show that the oscillating period actually depends on the shape of the initial wavefunction of the condensate as well as on the strength of the nonlinear term. This fact opens a question concerning the validity of a method proposed for the determination of the gravitational constant by means of the measurement of the oscillating period. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free