Adiabatic Preparation of a Heisenberg Antiferromagnet Using an Optical Superlattice

TL;DR

This paper explores a method to create a Heisenberg antiferromagnet in optical lattices by adiabatically transforming a band insulator, analyzing the process through numerical simulations in 1D and extending results to 2D.

Contribution

It introduces a feasible protocol for adiabatic preparation of antiferromagnetic states in cold atom systems, including the effects of initial holes and higher dimensions.

Findings

Successful identification of conditions for adiabatic state preparation

Analysis of hole effects on the protocol

Extension of results from 1D to 2D systems

Abstract

We analyze the possibility to prepare a Heisenberg antiferromagnet with cold fermions in optical lattices, starting from a band insulator and adiabatically changing the lattice potential. The numerical simulation of the dynamics in 1D allows us to identify the conditions for success, and to study the influence that the presence of holes in the initial state may have on the protocol. We also extend our results to two-dimensional systems.