Magnetization oscillations in a periodically driven transverse field Ising chain

We investigate the nonequilibrium dynamics of the magnetization in an Ising chain subjected to a slowly rotating transverse field. The magnetization oscillations are found to be explained by the contributions from different particle excitations in the quantum E₈ model. We study the magnetization in the frequency domain in detail, uncovering a series of singular peaks for the z (Ising) component. These singular peaks are split into two sets for the magnetization along x and y directions with frequency shifts set by the rotational-field frequency. The peaks include both -function type and edge-singularity type peaks. The -function peaks can be attributed to particle excitations involving an E₈ particle with either the vacuum or a different particle. The edge-singularity peaks are contributed by particle excitations of two E₈ particles with either the vacuum or another particle, or by particle excitations that contain two sets of two particles with each set including at least a particle of the same type. We propose a Rydberg qubit array for possible experimental investigation.