Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates

Details Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates

2003-05-13

arxiv.org/abs/cond-mat/0305273v2

J. Phys. B (Atom. Mol. and Optical Physics) 37, L193-L200 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

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.

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