Generalized Integrable Boundary States in XXZ and XYZ Spin Chains
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909998913683456 |
|---|---|
| author | Qian, Xin Zhang, Xin |
| author_facet | Qian, Xin Zhang, Xin |
| contents | We investigate integrable boundary states in the anisotropic Heisenberg chain under periodic or twisted boundary conditions, for both even and odd system lengths. Our work demonstrates that the concept of integrable boundary states can be readily generalized. For the XXZ spin chain, we present a set of factorized integrable boundary states using the KT-relation, and these states are also applicable to the XYZ chain. It is shown that a specific set of eigenstates of the transfer matrix can be selected by each boundary state, resulting in an explicit selection rule for the Bethe roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16605 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Integrable Boundary States in XXZ and XYZ Spin Chains Qian, Xin Zhang, Xin High Energy Physics - Theory Statistical Mechanics Exactly Solvable and Integrable Systems We investigate integrable boundary states in the anisotropic Heisenberg chain under periodic or twisted boundary conditions, for both even and odd system lengths. Our work demonstrates that the concept of integrable boundary states can be readily generalized. For the XXZ spin chain, we present a set of factorized integrable boundary states using the KT-relation, and these states are also applicable to the XYZ chain. It is shown that a specific set of eigenstates of the transfer matrix can be selected by each boundary state, resulting in an explicit selection rule for the Bethe roots. |
| title | Generalized Integrable Boundary States in XXZ and XYZ Spin Chains |
| topic | High Energy Physics - Theory Statistical Mechanics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2601.16605 |