Ultracold atomic Bose and Fermi spinor gases in optical lattices

TL;DR

This paper explores the magnetic properties and quantum phases of ultracold Bose and Fermi spinor gases in optical lattices, deriving effective models and discussing manipulation techniques for high-spin systems.

Contribution

It derives effective spin Hamiltonians for high-spin ultracold gases and discusses their magnetic phases and manipulation methods in optical lattices.

Findings

Effective spin Hamiltonians for F=2 Bose and F=3/2, 5/2 Fermi gases.

Analysis of low-temperature quantum phases of 87Rb in F=2 state.

Proposals for realizing high-spin Fermi gases with specific atomic species.

Abstract

We investigate magnetic properties of Mott-insulating phases of ultracold Bose and Fermi spinor gases in optical lattices. We consider in particular the F=2 Bose gas, and the F=3/2 and F=5/2 Fermi gases. We derive effective spin Hamiltonians for one and two atoms per site and discuss the possibilities of manipulating the magnetic properties of the system using optical Feshbach resonances. We discuss low temperature quantum phases of a 87Rb gas in the F=2 hyperfine state, as well as possible realizations of high spin Fermi gases with either 6Li or 132Cs atoms in the F=3/2 state, and with 173Yb atoms in the F=5/2 state.