Abstract
Cold fermionic atoms with three different hyperfine states with SU() symmetry confined in one-dimensional optical lattices show color-charge separation, generalizing the conventional spin-charge separation for interacting SU() fermions in one dimension. Through time-dependent density-matrix renormalization-group simulations, we explore the features of this phenomenon for a generalized SU() 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() symmetry, nor the filling impedes the basic observation of these effects.
- Received 16 February 2010
DOI:https://doi.org/10.1103/PhysRevA.82.011603
©2010 American Physical Society