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Issue Eur. Phys. J. B
Volume 45, Number 1, May I 2005
Page(s) 55 - 61
Section Solid and Condensed State Physics
DOI 10.1140/epjb/e2005-00164-9
Published online 16 June 2005

Eur. Phys. J. B 45, 55-61 (2005)
DOI: 10.1140/epjb/e2005-00164-9

Assessment of interspecies scattering lengths a $\mathsf{_{12}}$ from stability of two-component Bose-Einstein condensates

B. Apagyi and D. Schumayer

Institute of Physics, Budapest University of Technology and Economics, 1111, Budafoki út 8, Hungary

schumayer@phy.bme.hu

(Received 17 September 2004 / Received in final form 25 February 2005 / Published online 16 June 2005 )

Abstract
A stability method is used to assess possible values of interspecies scattering lengths a12 in two-component Bose-Einstein condensates described within the Gross-Pitaevskii approximation. The technique, based on a recent stability analysis of solitonic excitations in two-component Bose-Einstein condensates, is applied to ninety combinations of atomic alkali pairs with given singlet and triplet intraspecies scattering lengths as input parameters. Results obtained for values of a12 are in a reasonable agreement with the few ones available in the literature and with those obtained from a Painlevé analysis of the coupled Gross-Pitaevskii equations.

PACS
03.75.Lm - Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations.
03.75.Mn - Multicomponent condensates; spinor condensates.
03.75.Nt - Other Bose-Einstein condensation phenomena.
42.65.Tg - Optical solitons; nonlinear guided waves .

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2005


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