TY - JOUR
T1 - Transition from resonances to bound states in nonlinear systems
T2 - Application to Bose-Einstein condensates
AU - Moiseyev, Nimrod
AU - Carr, L. D.
AU - Malomed, Boris A.
AU - Band, Y. B.
PY - 2004/5/14
Y1 - 2004/5/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=2542483584&partnerID=8YFLogxK
U2 - 10.1088/0953-4075/37/9/L02
DO - 10.1088/0953-4075/37/9/L02
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AN - SCOPUS:2542483584
SN - 0953-4075
VL - 37
SP - L193-L200
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 9
ER -