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 (3). pp. 729-740. ISSN 0953-4075, 1361-6455

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: BLOCH OSCILLATIONS; OPTICAL LATTICES; ULTRACOLD ATOMS; BOUND-STATES; EINSTEIN; RESONANCES; TRANSITION; SYSTEMS; FIELDS; GAS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Feb 2021 11:10
Last Modified: 22 Feb 2021 11:10
URI: https://pred.uni-regensburg.de/id/eprint/34942

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