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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.

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Nimrod Moiseyev, L. D. Carr, Boris A. Malomed, Y. B. Band. 2004-04-28. Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates. https://arxiv.org/abs/cond-mat/0305273

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