Complex scaling approach to the decay of Bose-Einstein condensates
Abstract
The mean-field dynamics of a Bose-Einstein condensate is studied in presence of a microscopic trapping potential from which the condensate can escape via tunneling through finite barriers. We show that the method of complex scaling can be used to obtain a quantitative description of this decay process. A real-time propagation approach that is applied to the complex-scaled Gross-Pitaevskii equation allows us to calculate the chemical potentials and lifetimes of the metastably trapped Bose-Einstein condensate. The method is applied to a one-dimensional harmonic confinement potential combined with a Gaussian envelope, for which we compute the lowest symmetric and antisymmetric quasibound states of the condensate. A comparison with alternative approaches using absorbing boundary conditions as well as complex absorbing potentials shows good agreement.
Keywords
Cite
@article{arxiv.cond-mat/0402089,
title = {Complex scaling approach to the decay of Bose-Einstein condensates},
author = {Peter Schlagheck and Tobias Paul},
journal= {arXiv preprint arXiv:cond-mat/0402089},
year = {2013}
}
Comments
10 pages, 6 figures