Perfect state transfer in inhomogeneous XX model of q-Racah type
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912762274250752 |
|---|---|
| author | Crampe, Nicolas Lafrance, Simon Robillard, Charles Vinet, Luc |
| author_facet | Crampe, Nicolas Lafrance, Simon Robillard, Charles Vinet, Luc |
| contents | New exactly solvable one-dimensional XX spin chain models that exhibit perfect state transfer are defined. These models have inhomogeneous couplings and magnetic fields determined from the three-term recurrence relations satisfied by the q-Racah and para q-Racah polynomials. Due to this connection with orthogonal polynomials, the one-excitation sector can be solved analytically. This allows us to provide explicit sets of conditions on the polynomial parameters that guarantee the occurrence of perfect state transfer across these spin chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12419 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfect state transfer in inhomogeneous XX model of q-Racah type Crampe, Nicolas Lafrance, Simon Robillard, Charles Vinet, Luc Mathematical Physics New exactly solvable one-dimensional XX spin chain models that exhibit perfect state transfer are defined. These models have inhomogeneous couplings and magnetic fields determined from the three-term recurrence relations satisfied by the q-Racah and para q-Racah polynomials. Due to this connection with orthogonal polynomials, the one-excitation sector can be solved analytically. This allows us to provide explicit sets of conditions on the polynomial parameters that guarantee the occurrence of perfect state transfer across these spin chains. |
| title | Perfect state transfer in inhomogeneous XX model of q-Racah type |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2512.12419 |