Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates
Soft Condensed Matter
2007-05-23 v2 Mesoscale and Nanoscale Physics
Pattern Formation and Solitons
Abstract
It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum variational numerical method are used to calculate the energies (chemical potentials) and linewidths of resonances of the time-independent Gross-Pitaevskii equation; both methods produce similar results. Borders between the regimes of resonances, bound states, and, in two and three dimensions, collapse, are identified.
Keywords
Cite
@article{arxiv.cond-mat/0305273,
title = {Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates},
author = {Nimrod Moiseyev and L. D. Carr and Boris A. Malomed and Y. B. Band},
journal= {arXiv preprint arXiv:cond-mat/0305273},
year = {2007}
}
Comments
4 pages, 4 figures