Calculation of Feshbach Resonances with Rb-85 Atoms Using Realistic Potentials to Constrain Separable Potentials

ORAL

Abstract

The phenomenology of Feshbach resonances in cold quantum gases has been studied with Rb-85 atoms in the presence of an external magnetic field. For a pair of such atoms interacting with a particular magnetic field value, various separable potential models have been utilized to calculate the singlet and triplet scattering lengths and corresponding strength parameters from fitted dipole form factors. Such calculations are extended to incorporate more realistic potential models in order to constrain separable potentials applicable to the 3- body interaction. Unitary pole expansion approximations are explored in the attempt to extract the particular atomic states contributing to the Feshbach resonance from spectral decompositions of such realistic potentials. A full 2-body calculation of Rb-85 atoms is to be presented in position- space, from which 3-body calculations in momentum-space can be done in order to study the phenomenon of 3-body recombination and breakup processes in cold quantum gases.

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Authors

  • Walter Unglaub

    Colorado School of Mines

  • John Poate

    Brigham Young University, Los Alamos National Laboratory, Department of Physics and Astronomy, University of Utah, USA, MV Systems, Inc., USA, Helmholtz-Zentrum Berlin fuer Materialien und Energie, Abteilung Silizium-Photovoltaik, Germany, Colorado School of Mines, Department of Physics, USA, Georgia Institute of Technology, Arizona State University, Physics Department of Babolsar University, Iran, Physics Department, New Mexico State University, Department of Chemistry and Biochemistry, Arizona State University, Tempe, AZ, 85287-1604, USA, Department of Electrical Engineering, University of Arkansas, Fayetteville, AR 72701, USA, Department of Physics, Arizona State University, Tempe, AZ, 85287-1504, USA, Colorado State University, University of Wisconsin, NSF ERC for Extreme Ultraviolet Science and Technology, Colorado State University, BYU-Provo, Michigan Technical University and Pierre Auger Collaboration, University of Colorado, Colorado School of Mines, Department of Physics, Colorado State University, Department of Physics, Cornell University, NASA, University of Massachusetts at Amherst, University of Massachusetss at Amherst, APS President, Harvard University, Society of Physics Students, Duke University, Computer Science, Brigham Young University, Chemistry \& Biochemistry, Brigham Young University, University of Arizona, University of Utah, Kansas State Univ., Bethel University, University of New Mexico, Stanford University, JILA, University of Colorado at Boulder, NIST, JILA, University of Colorado at Boulder, National Renewable Energy Laboratory, University of Denver, University of Colorado, Boulder, NREL, Department of Chemistry and Biochemistry, Arizona State University, Tempe, AZ, 85287- 1604, USA, DU, ERI, Eleanor Roosevelt Institute (ERI), Cerro Tololo Interamerican Observatory, Utah State University, Center for Atmospheric and Space Sciences, Sciprint.org, University of Colorado at Boulder, JILA and University of Colorado, Kirchhoff Institute for Physics, University of Heidelberg, Utah Valley University, University of New South Wales, San Francisco State University, Weber State University, Cambridge University, Department of Physics and Astronomy, University of Utah, Kansas State University, Columbia University, NY, University of Colorado/JILA, Vice-President for Research and Technology Transfer, Colorado School of Mines