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arXiv · 2408.13725

Magnetization oscillations in a periodically driven transverse field Ising chain

Xiao Wang·Masaki Oshikawa·Márton Kormos·Jianda Wu
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Abstract

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 $E_8$ 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 $δ$-function type and edge-singularity type peaks. The $δ$-function peaks can be attributed to particle excitations involving an $E_8$ particle with either the vacuum or a different particle. The edge-singularity peaks are contributed by particle excitations of two $E_8$ 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.

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Xiao Wang, Masaki Oshikawa, Márton Kormos, Jianda Wu. 2024-08-25. Magnetization oscillations in a periodically driven transverse field Ising chain. https://doi.org/10.1103/physrevb.110.195101

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