A classical model for perfect transfer and fractional revival based on -Racah polynomials
arXiv:2110.01042 · doi:10.1016/j.physleta.2022.127973
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.
arXiv comment11 pages
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