Tunnelling rates for the nonlinear Wannier-Stark problem
Other Condensed Matter
2007-05-23 v1 Atomic Physics
Computational Physics
Quantum Physics
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 analytic perturbation theory.
Keywords
Cite
@article{arxiv.cond-mat/0512481,
title = {Tunnelling rates for the nonlinear Wannier-Stark problem},
author = {Sandro Wimberger and Peter Schlagheck and Riccardo Mannella},
journal= {arXiv preprint arXiv:cond-mat/0512481},
year = {2007}
}