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arXiv · 2110.01042

A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials

Hugo Schérer·Luc Vinet·Alexei Zhedanov
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Abstract

It is shown how choices based on the $q$-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.

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Hugo Schérer, Luc Vinet, Alexei Zhedanov. 2021-10-03. A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials. https://doi.org/10.1016/j.physleta.2022.127973

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