Adiabatic state preparation of stripe phases with strongly magnetic atoms

摘要

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?tze, 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 us, in particular, to estimate the time required for preparation of the stripe phase with high fidelity under real experimental conditions.