Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation

TL;DR

This paper applies Luttinger liquid theory to quasi-one-dimensional fermionic quantum gases, exploring spin-charge separation effects influenced by optical lattices and trapping potentials, highlighting their fundamental quantum properties.

Contribution

It introduces a Luttinger liquid framework for analyzing spin-charge separation in fermionic atomic gases under realistic experimental conditions.

Findings

Demonstrates spin-charge separation in quasi-1D fermionic gases

Analyzes effects of optical lattice and trapping potential on quantum properties

Provides theoretical insights into atomic internal states and density dynamics

Abstract

We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and manifestations of spin-charge separation, where in the case of atoms ``spin'' and ``charge'' refers to two internal atomic states and the atomic mass density, respectively.