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

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dc.creatorMoiseyev, Nimrod
dc.creatorCarr, L. D.
dc.creatorMalomed, Boris A.
dc.creatorBand, Y. B.
dc.date2003-05-13
dc.date2004-04-28
dc.date.accessioned2026-07-07T02:51:18Z
dc.date.available2026-07-07T02:51:18Z
dc.descriptionIt 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.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0305273
dc.identifierhttp://arxiv.org/abs/cond-mat/0305273
dc.identifierJ. Phys. B (Atom. Mol. and Optical Physics) 37, L193-L200 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21399
dc.subjectSoft Condensed Matter
dc.subjectMesoscale and Nanoscale Physics
dc.subjectPattern Formation and Solitons
dc.titleTransition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates
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