Magnetization oscillations in a periodically driven transverse field Ising chain
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912112773693440 |
|---|---|
| author | Wang, Xiao Oshikawa, Masaki Kormos, Márton Wu, Jianda |
| author_facet | Wang, Xiao Oshikawa, Masaki Kormos, Márton Wu, Jianda |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetization oscillations in a periodically driven transverse field Ising chain Wang, Xiao Oshikawa, Masaki Kormos, Márton Wu, Jianda Strongly Correlated Electrons Statistical Mechanics Atomic Physics 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. |
| title | Magnetization oscillations in a periodically driven transverse field Ising chain |
| topic | Strongly Correlated Electrons Statistical Mechanics Atomic Physics |
| url | https://arxiv.org/abs/2408.13725 |