A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials
Mathematical Physics
2022-03-14 v1 math.MP
Classical Physics
Abstract
It is shown how choices based on the -Racah polynomials for the masses and spring constants along a chain give new systems that exactly allow dispersionless end-to-end transmission of a pulse as well as periodic splitting of the initial momentum between the first and last mass. This ``Newton's cradle'' provides a classical analog of quantum spin devices that exhibit perfect state transfer and fractional revival.
Keywords
Cite
@article{arxiv.2110.01042,
title = {A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials},
author = {Hugo Schérer and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2110.01042},
year = {2022}
}
Comments
11 pages