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

Preprint

28 April 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0305273

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.

Keywords

EINSTEIN CONDENSATES
PITAEVSKII EQUATION
NONLINEAR SYSTEMS
NUMERICAL METHOD
GROSS PITAEVSKII
BOSE EINSTEIN
BOUND STATES

All Related Versions

Version 1, 2003-05-13, ArXiv
Version 2, 2004-04-28, ArXiv

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