Transition from resonances to bound states in nonlinear systems: Application to Bose-Einstein condensates

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

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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.

Original languageEnglish
Pages (from-to)L193-L200
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume37
Issue number9
DOIs
StatePublished - 14 May 2004

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