2003/05/31 by Nimrod Moiseyev, L. D. Carr, Boris A. Malomed +1
Physics and Astronomy · #cond-mat.soft #cond-mat.mes-hall #nlin.PS
published as J. Phys. B (Atom. Mol. and Optical Physics) 37, L193-L200 (2004) · 4 pages, 4 figures
arxiv created 2004/04/28 · arxiv updated 2009/11/30
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.