Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916513597882368 |
|---|---|
| author | Franke, Tyler Quella, Thomas |
| author_facet | Franke, Tyler Quella, Thomas |
| contents | We revisit the question of string order and hidden symmetry breaking in the q-deformed AKLT model, an example of a spin chain that possesses generalized symmetry. We first argue that the non-local Kennedy-Tasaki duality transformation that was previously proposed to relate the string order to a local order parameter leads to a non-local Hamiltonian and thus does not provide a physically adequate description of the symmetry breaking. We then present a modified non-local transformation which is based on a recently developed generalization of Witten's Conjugation to frustration-free lattice models and capable of resolving this issue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09287 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model Franke, Tyler Quella, Thomas Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory Mathematical Physics We revisit the question of string order and hidden symmetry breaking in the q-deformed AKLT model, an example of a spin chain that possesses generalized symmetry. We first argue that the non-local Kennedy-Tasaki duality transformation that was previously proposed to relate the string order to a local order parameter leads to a non-local Hamiltonian and thus does not provide a physically adequate description of the symmetry breaking. We then present a modified non-local transformation which is based on a recently developed generalization of Witten's Conjugation to frustration-free lattice models and capable of resolving this issue. |
| title | Duality and hidden symmetry breaking in the q-deformed Affleck-Kennedy-Lieb-Tasaki model |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2403.09287 |