How to construct spin chains with perfect state transfer
L Vinet, A Zhedanov - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
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 …
interactions that allow perfect state transfer (PST) is shown. Sets of orthogonal polynomials …
Quantum spin chains with fractional revival
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 …
Analytic models with this phenomenon are obtained by combining two basic ways of …
Finite oscillator models: the Hahn oscillator
EI Jafarov, NI Stoilova… - Journal of Physics A …, 2011 - iopscience.iop.org
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 …
algebra. This algebra is a deformation of the Lie algebra extended by a parity operator, with …
The Hahn oscillator and a discrete Fourier–Hahn transform
EI Jafarov, NI Stoilova… - Journal of Physics A …, 2011 - iopscience.iop.org
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 …
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
L Vinet, A Zhedanov - Journal of Physics A: Mathematical and …, 2012 - iopscience.iop.org
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 …
transfer - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …
Dual-1 Hahn polynomials:“classical” polynomials beyond the Leonard duality
S Tsujimoto, L Vinet, A Zhedanov - Proceedings of the American …, 2013 - ams.org
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 …
dual $ q $-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete …
An analytic spin chain model with fractional revival
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 …
couplings and local magnetic fields correspond to the recurrence coefficients of para-Racah …
Coherent transport in photonic lattices: a survey of recent analytic results
ÉO Bossé, L Vinet - … . Symmetry, Integrability and Geometry: Methods and …, 2017 - emis.de
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 …
transfer (PST) are reviewed. The approach to their design which is based on orthogonal …
Dual-1 Hahn polynomials and perfect state transfer
L Vinet, A Zhedanov - Journal of Physics: Conference Series, 2012 - iopscience.iop.org
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 …
Series OPEN ACCESS Dual -1 Hahn polynomials and perfect state transfer To cite this article …
[HTML][HTML] A q-generalization of the para-Racah polynomials
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 …
the Askey–Wilson polynomials. In the limit q→ 1, they reduce to the para-Racah polynomials …