Analytic models of ultracold atomic collisions for application to confinement-induced resonances

S. Bhongale, I.H. Deutsch, S.J.J.M.F. Kokkelmans

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Abstract

We construct simple analytic models of the S matrix, accounting for both scattering resonances and smooth background contributions for collisions that occur below the s-wave threshold. Such models are important for studying confinement-induced resonances such as those occurring in cold collisions of 133Cs atoms in separated sites of a polarization-gradient optical lattice. Because these resonances occur at negative energy with respect to the s-wave threshold, they cannot be studied easily using direct numerical solutions of the Schrödinger equation. Using our analytic model, we extend previous studies of negative-energy scattering to the multichannel case, accounting for the interplay of Feshbach resonances, large background scattering lengths, and inelastic processes.
Original languageEnglish
Title of host publicationAmerican Physical Society, 40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics, May 19-23, 2009
Publication statusPublished - 1 May 2009
Event40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics (DAMOP 2009), May 19-23, 2009, Charlottesville, Virginia - Charlottesville, United States
Duration: 19 May 200923 May 2009

Conference

Conference40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics (DAMOP 2009), May 19-23, 2009, Charlottesville, Virginia
Abbreviated titleDAMOP 2009
CountryUnited States
CityCharlottesville
Period19/05/0923/05/09

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