Spin-1/2 fermions on spin-dependent optical lattices

TL;DR

This paper explores the complex phase diagram of one-dimensional spin-1/2 fermionic cold atoms with spin-dependent hopping, revealing Mott insulators and superfluids, and discusses experimental detection methods.

Contribution

It provides a detailed analysis of the phase diagram for spin-dependent optical lattices, including the effects of different hopping or mass for the two spin species.

Findings

Rich phase diagram with Mott insulators and superfluids

Computed spin structure factor for experimental detection

Analysis of coupled 1D systems and their signatures

Abstract

We study the phase diagram of one dimensional spin one-half fermionic cold atoms. The two ``spin'' species can have different hopping or mass. The phase diagram at equal densities of the species is found to be very rich, Mott insulators as well as superfluids. We also briefly discuss coupling 1D systems together, and some experimental signatures of these phases. In particular, we compute the spin structure factor in the small momentum limit, which should allow the spin gap to be detected.