A novel analytic spin chain model with fractional revival

TL;DR

This paper introduces new analytic spin chain models with fractional revival based on para-Racah polynomials, generalizing previous models and identifying cases of perfect state transfer.

Contribution

It presents a novel class of spin chain models linked to para-Racah polynomials, expanding the theoretical framework for quantum state transfer.

Findings

New spin chain models with fractional revival are constructed.

Instances of perfect state transfer are identified within these models.

The models generalize previous dual-Hahn polynomial-based chains.

Abstract

New analytic spin chains with fractional revival are introduced. Their nearest-neighbor couplings and local magnetic fields correspond to the recurrence coefficients of para-Racah polynomials which are orthogonal on quadratic bi-lattices. These models generalize the spin chain associated to the dual-Hahn polynomials. Instances where perfect state transfer also occurs are identified.