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arXiv · 1002.3685

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

Tobias Ulbricht·Rafael A. Molina·Ronny Thomale·Peter Schmitteckert
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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 DMRG 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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Tobias Ulbricht, Rafael A. Molina, Ronny Thomale, Peter Schmitteckert. 2010-02-19. Color-charge separation in trapped SU(3) fermionic atoms. https://doi.org/10.1103/physreva.82.011603

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