A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials
Hugo Schérer,
Luc Vinet,
Alexei Zhedanov
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.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.