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

S. G. Bhongale, S. J. J. M. F. Kokkelmans, and Ivan H. Deutsch
Phys. Rev. A 77, 052702 – Published 5 May 2008

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 C133s 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.

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  • Received 11 February 2008

DOI:https://doi.org/10.1103/PhysRevA.77.052702

©2008 American Physical Society

Authors & Affiliations

S. G. Bhongale1,2,*, S. J. J. M. F. Kokkelmans3, and Ivan H. Deutsch2

  • 1Department of Physics and Astronomy, Rice University, MS-61, 6100 Main Street, Houston, Texas 77005, USA
  • 2Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA
  • 3Eindhoven University of Technology, P. O. Box 513, 5600MB Eindhoven, The Netherlands

  • *bhongale@rice.edu

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Vol. 77, Iss. 5 — May 2008

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