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Color-charge separation in trapped SU(3) fermionic atoms

Tobias Ulbricht, Rafael A. Molina, Ronny Thomale, and Peter Schmitteckert
Phys. Rev. A 82, 011603(R) – Published 7 July 2010

Abstract

Cold fermionic atoms with three different hyperfine states with SU(3) symmetry confined in one-dimensional optical lattices show color-charge separation, generalizing the conventional spin-charge separation for interacting SU(2) fermions in one dimension. Through time-dependent density-matrix renormalization-group simulations, we explore the features of this phenomenon for a generalized SU(3) Hubbard Hamiltonian. In our numerical simulations of finite-size systems, we observe different velocities of the charge and color degrees of freedom when a Gaussian wave packet or a charge (color) density response to a local perturbation is evolved. The differences between attractive and repulsive interactions are explored and we note that neither a small anisotropy of the interaction, breaking the SU(3) symmetry, nor the filling impedes the basic observation of these effects.

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  • Received 16 February 2010

DOI:https://doi.org/10.1103/PhysRevA.82.011603

©2010 American Physical Society

Authors & Affiliations

Tobias Ulbricht1, Rafael A. Molina2, Ronny Thomale3, and Peter Schmitteckert4

  • 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
  • 2Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain
  • 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 4Institute of Nanotechnology, Karlsruhe Institute of Technology, D-76344 Eggenstein-Leopoldshafen, Germany

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Vol. 82, Iss. 1 — July 2010

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