Session V5: Theory of Cold Atom Systems

1:30 PM–3:30 PM, Friday, May 19, 2006
Knoxville Convention Center - 301AB

Chair: William Reinhardt, University of Washington

Abstract: V5.00006 : A quasi-hermitian pseudo potential for higher partial-wave scattering

2:30 PM–2:42 PM

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Authors:

  Iris Reichenbach
  Andrew Silberfarb
    (University of New Mexico)

  Rene Stock
    (University of Calgary)

  Ivan Deutsch
    (University of New Mexico)

The dynamics of ultracold atoms in traps is an ideal platform for studies of quantum condensed matter, topological field theories, and quantum information processing. At the heart of these many-body systems are two-body interactions mediated by the molecular potentials of the respective dimer. Simultaneous treatment of the short-range molecular potential and long-range trapping potential is facilitated through the use of a pseudopotential, as seen in recent studies where s-wave scattering dominates. We extend this to higher- order partial waves, important for identical fermions and situations beyond the Wigner-threshold law. This pseudopotential is quasi- Hermitian, leading to a complete biorthonormal set of eigenfunctions. We apply this model to study trap-induced resonances occurring for colliding atoms in separated traps.