A method to systematically construct the XX quantum spin chains with nearest-neighbor
interactions that allow perfect state transfer (PST) is shown. Sets of orthogonal polynomials …

A systematic study of fractional revival at two sites in XX quantum spin chains is presented.
Analytic models with this phenomenon are obtained by combining two basic ways of …

A new model for the finite one-dimensional harmonic oscillator is proposed based upon the
algebra. This algebra is a deformation of the Lie algebra extended by a parity operator, with …

We define the quadratic algebra $\mathfrak {su}(2) _\alpha $ which is a one-parameter
deformation of the Lie algebra $\mathfrak {su}(2) $ extended by a parity operator. The odd …

Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state
transfer - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

We introduce the $-$1 dual Hahn polynomials through an appropriate $ q\to-1$ limit of the
dual $ q $-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete …

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 …

The analytic specifications of photonic lattices with fractional revival (FR) and perfect state
transfer (PST) are reviewed. The approach to their design which is based on orthogonal …

Dual -1 Hahn polynomials and perfect state transfer Page 1 Journal of Physics: Conference
Series OPEN ACCESS Dual -1 Hahn polynomials and perfect state transfer To cite this article …

New bispectral orthogonal polynomials are obtained from an unconventional truncation of
the Askey–Wilson polynomials. In the limit q→ 1, they reduce to the para-Racah polynomials …