Imaginary-time methods for finding ground states of fermion atomic gases

ORAL

Abstract

Steepest descent methods using imaginary-time propagation of the Gross-Pitaevskii equation have been extremely useful for finding ground states in Bose-Einstein condensed systems. We have extended these methods to treat interacting fermion gases. In particular, we can find zero-temperature ground states for density matrix equations. We apply this method to the BCS theory of superconductivity and the two-channel model of the Bose-Fermi crossover problem.

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Authors

  • Jochen Wachter

    JILA, University of Colorado, Boulder, CO 80309-0440, USA

  • Murray J. Holland

    JILA, University of Colorado, Boulder, CO 80309-0440, USA, JILA, University of Colorado Boulder and the National Institute of Standards and Technology

  • Marilu Chiofalo

    Universit\`a di Pisa, I-56126 Pisa, Italy