Critical temperature and thermodynamics of the BEC-BCS crosssover

ORAL

Abstract

The strongly-correlated regime of the BCS-BEC crossover can be realized by diluting a system of two-component fermions with a contact attractive interaction and an appropriate ultraviolet regularization. We investigate this system via a novel systematic-error-free continuous-space-time diagrammatic determinant Monte Carlo method. The results allow us to predict the universal curve $T_c/E_F$ as a function of the parameter $k_F a$ with the maximum on the BEC side. At unitarity, $T_c/E_F$ = 0.152(7). We also determine the thermodynamic functions and show how the Monte Carlo results can be used for accurate thermometry.

Authors

  • Evgeni Burovski

    Uni Greifswald, Germany

  • Evgeny Kozik

    UMASS Amherst, Institute for Theoretical Physics, ETH Zurich, and Department of Physics, University of Massachusetts Amherst

  • Nikolay Prokof'ev

    University of Massachusetts, Amherst, UMASS Amherst, UMASS, Amherst; ETH Zurich; Kurchatov Institute, Moscow, Physics Department, University of Massachusetts, Amherst, University of Massachusetts at Amherst, University of Massachusetts, Amherst, MA 01003, USA

  • Boris Svistunov

    University of Massachusetts, Amherst, UMASS Amherst, Department of Physics, University of Massachusetts Amherst, UMASS, Amherst; Kurchatov Institute, Moscow, Physics Department, University of Massachusetts, Amherst, University of Massachusetts at Amherst

  • Matthias Troyer

    ETH Zurich, Theoretische Physik, ETH Zurich, ETH Zuerich, Switzerland