Letter to the Editor

doi:10.1088/0953-4075/37/9/L02

LETTER TO THE EDITOR

Transition from resonances to bound states in nonlinear systems: application to Bose–Einstein condensates

Nimrod Moiseyev et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 L193-L200 doi: 10.1088/0953-4075/37/9/L02

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Nimrod Moiseyev^1,5, L D Carr^2,6, Boris A Malomed³ and Y B Band⁴
¹ Institute of Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 01238, USA
² Laboratoire Kastler Brossel, Departement de physique, Ecole normale supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
³ Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
⁴ Departments of Chemistry and Electro-Optics, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
⁵ Permanent address: Department of Chemistry and Minerva Center for Nonlinear Physics of Complex Systems, Technion—Israel Institute of Technology Haifa 32000, Israel
⁶ Present address: JILA, National Institute of Standards and Technology and Physics Department, University of Colorado, Boulder, CO 80309-0440, USA

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.

Print publication: Issue 9 (14 May 2004)
Received 22 March 2004
Published 23 April 2004

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Transition from resonances to bound states in nonlinear systems: application to Bose–Einstein condensates

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