Wigner distribution, Wigner entropy, and Anomalous Transport of a Generalized Aubry-André model
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911099856617472 |
|---|---|
| author | Lu, Feng Zhou, Ao Cheng, Shujie Xianlong, Gao |
| author_facet | Lu, Feng Zhou, Ao Cheng, Shujie Xianlong, Gao |
| contents | We investigate generalized Aubry-André models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size scaling analysis. Numerical results demonstrate that extended, critical, and localized states can be distinguished via their phase-space representations, particularly the Wigner distribution. The associated Wigner entropy, derived from this distribution, peaks at the critical state, enabling precise localization of the mobility edge. Additionally, wave-packet dynamics reveal anomalous transport behaviors, including superdiffusion and subdiffusion, bridging ballistic transport and the absence of diffusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07510 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wigner distribution, Wigner entropy, and Anomalous Transport of a Generalized Aubry-André model Lu, Feng Zhou, Ao Cheng, Shujie Xianlong, Gao Disordered Systems and Neural Networks We investigate generalized Aubry-André models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size scaling analysis. Numerical results demonstrate that extended, critical, and localized states can be distinguished via their phase-space representations, particularly the Wigner distribution. The associated Wigner entropy, derived from this distribution, peaks at the critical state, enabling precise localization of the mobility edge. Additionally, wave-packet dynamics reveal anomalous transport behaviors, including superdiffusion and subdiffusion, bridging ballistic transport and the absence of diffusion. |
| title | Wigner distribution, Wigner entropy, and Anomalous Transport of a Generalized Aubry-André model |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2504.07510 |