Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials-Reference-Cited by-同舟云学术

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Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials

Published:2022-05-12 Issue: Volume: Page:
ISSN:2050-3911
Container-title:Progress of Theoretical and Experimental Physics
language:en
Short-container-title:

Author:

Miki Hiroshi¹,Tsujimoto Satoshi²,Vinet Luc³

Affiliation:

1. Meteorological College, Asahi-Cho Kashiwa, 277 0852, Japan

2. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Sakyo-Ku Kyoto, 606 8501, Japan

3. Centre de recherches mathématiques, Université de Montréal PO Box 6128, Centre-ville Station, Montréal (Québec), H3C 3J7, Canada Institut de valorisation des données (IVADO), Montrèal (Québec), H2S 3H1, Canada

Abstract

Abstract A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coefficients of certain bivariate dual-Hahn polynomials. For a specific choice of the parameters, perfect state transfer and fractional revival are shown to take place.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

Link

https://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptac069/43691276/ptac069.pdf

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials;Journal of Mathematical Physics;2022-10-01

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