XYZ quantum Heisenberg models with p-orbital bosons

TL;DR

This paper proposes a method to realize and control the spin-1/2 XYZ quantum Heisenberg model using bosonic atoms in the p orbital of an optical lattice, exploring its phase diagram and experimental feasibility.

Contribution

It introduces a novel approach to simulate the XYZ Heisenberg model with bosonic atoms in optical lattices, including tunable couplings and analysis of finite size effects.

Findings

Demonstrates realization of the model with bosonic atoms in p orbitals.

Shows tunability of coupling signs and strengths.

Analyzes phase diagram and experimental considerations.

Abstract

We demonstrate how the spin-1/2 XYZ quantum Heisenberg model can be realized with bosonic atoms loaded in the p band of an optical lattice in the Mott regime. The combination of Bose statistics and the symmetry of the p-orbital wave functions leads to a nonintegrable Heisenberg model with antiferromagnetic couplings. Moreover, the sign and relative strength of the couplings characterizing the model are shown to be experimentally tunable. We display the rich phase diagram in the one-dimensional case and discuss finite size effects relevant for trapped systems. Finally, experimental issues related to preparation, manipulation, detection, and imperfections are considered.