Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials
arXiv:2009.06195 · doi:10.1093/ptep/ptac069
Abstract
A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coefficients of certain bivariate dual-Hahn polynomials. For a specific choice of the parameters, perfect state transfer and fractional revival are shown to take place.
17pages, 3 figures