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

By Nimrod Moiseyev, L. D. Carr, Boris A. Malomed and Y. B. Band


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.Comment: 4 pages, 4 figure

Topics: Condensed Matter - Soft Condensed Matter, Condensed Matter - Mesoscale and Nanoscale Physics, Nonlinear Sciences - Pattern Formation and Solitons
Year: 2004
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