Transition from Resonances to Bound States in Nonlinear Systems: Application to Bose-Einstein condensates
Moiseyev, Nimrod · Carr, L. D. · Malomed, Boris A. · Band, Y. B.
Original · EN
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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