Color Superfluidity and “Baryon” Formation in Ultracold Fermions

Ákos Rapp, Gergely Zaránd, Carsten Honerkamp, and Walter Hofstetter
Phys. Rev. Lett. 98, 160405 – Published 18 April 2007

Abstract

We study fermionic atoms of three different internal quantum states (colors) in an optical lattice, which are interacting through attractive on site interactions, U<0. Using a variational calculation for equal color densities and small couplings, |U|<|UC|, a color superfluid state emerges with a tendency to domain formation. For |U|>|UC|, triplets of atoms with different colors form singlet fermions (trions). These phases are the analogies of the color superconducting and baryonic phases in QCD. In ultracold fermions, this transition is found to be of second order. Our results demonstrate that quantum simulations with ultracold gases may shed light on outstanding problems in quantum field theory.

  • Figure
  • Received 5 July 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.160405

©2007 American Physical Society

Authors & Affiliations

Ákos Rapp1,2, Gergely Zaránd1,2, Carsten Honerkamp3, and Walter Hofstetter4

  • 1Theoretical Physics Department, Institute of Physics, Budapest University of Technology and Economy, Budapest, H-1521, Hungary
  • 2Institut für Theoretische Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
  • 3Theoretical Physics, Universität Würzburg, D-97074 Würzburg, Germany
  • 4Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, 60438 Frankfurt/Main, Germany

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Vol. 98, Iss. 16 — 20 April 2007

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