# Adiabatic state preparation of stripe phases with strongly magnetic atoms

## TL;DR

This paper presents a protocol for preparing stripe phases in two-dimensional spin models using strongly magnetic atoms in optical lattices, validated by simulations that estimate realistic preparation times.

## Contribution

It introduces a new adiabatic state preparation protocol for stripe phases with validation through advanced simulation methods.

## Key findings

- Successful simulation of dynamics for up to 64 sites.
- Estimated high-fidelity preparation times for stripe phases.
- Validation of the protocol with exact small-system results.

## Abstract

We propose a protocol for realizing the stripe phase in two spin models on a two-dimensional square lattice, which can be implemented with strongly magnetic atoms (Cr, Dy, Er, etc.) in optical lattices by encoding spin states into Zeeman sublevels of the ground state manifold. The protocol is tested with cluster-mean-field time-dependent variational ans\"atze, validated by comparison with exact results for small systems, which enable us to simulate the dynamics of systems with up to 64 sites during the state-preparation protocol. This allows, in particular, to estimate the time required for preparation of the stripe phase with high fidelity under real experimental conditions.