Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917525710700544 |
|---|---|
| author | Grabarits, András del Campo, Adolfo |
| author_facet | Grabarits, András del Campo, Adolfo |
| contents | Counterdiabatic driving (CD) provides a framework for suppressing excitations in nonadiabatic processes. Exact CD protocols require nonlocal control fields, and CD approximations with tailored locality are needed for their implementation. However, the performance of local CD schemes remains poorly understood. Here, we develop an analytically tractable local CD expansion scheme and establish a universal scaling theory governing the defect statistics after crossing a quantum phase transition as a function of the CD locality order. Our predictions are tested on the transverse field Ising model and long-range Kitaev models. Our results provide an analytical framework for evaluating the effectiveness of local CD protocols in quantum state preparation, control, and optimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics Grabarits, András del Campo, Adolfo Quantum Physics Statistical Mechanics Counterdiabatic driving (CD) provides a framework for suppressing excitations in nonadiabatic processes. Exact CD protocols require nonlocal control fields, and CD approximations with tailored locality are needed for their implementation. However, the performance of local CD schemes remains poorly understood. Here, we develop an analytically tractable local CD expansion scheme and establish a universal scaling theory governing the defect statistics after crossing a quantum phase transition as a function of the CD locality order. Our predictions are tested on the transverse field Ising model and long-range Kitaev models. Our results provide an analytical framework for evaluating the effectiveness of local CD protocols in quantum state preparation, control, and optimization. |
| title | Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2503.22212 |