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 …
Sine-square deformation of solvable spin chains and conformal field theories
H Katsura - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
We study solvable spin chains, one-dimensional massless Dirac fermions and conformal
field theories (CFTs) with sine-square deformation (SSD), in which the Hamiltonian density …
field theories (CFTs) with sine-square deformation (SSD), in which the Hamiltonian density …
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 …
Exact ground state of the sine-square deformed XY spin chain
H Katsura - Journal of Physics A: Mathematical and Theoretical, 2011 - iopscience.iop.org
We study the sine-square deformed quantum XY chain with open boundary conditions in
which the interaction strength at the position x in the chain of length L is proportional to the …
which the interaction strength at the position x in the chain of length L is proportional to the …
On a class of q-orthogonal polynomials and the q-Riemann–Hilbert problem
N Joshi, T Lasic Latimer - Proceedings of the Royal …, 2021 - royalsocietypublishing.org
We give an explicit solution of aq-Riemann–Hilbert problem that arises in the theory of
orthogonal polynomials, prove that it is unique and deduce several properties. In particular …
orthogonal polynomials, prove that it is unique and deduce several properties. In particular …
Exact fractional revival in spin chains
The occurrence of fractional revival in quantum spin chains is examined. Analytic models
where this phenomenon can be exhibited in exact solutions are provided. It is explained that …
where this phenomenon can be exhibited in exact solutions are provided. It is explained that …
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 …
An exactly solvable spin chain related to Hahn polynomials
NI Stoilova, J Van der Jeugt - SIGMA. Symmetry, Integrability and …, 2011 - emis.de
We study a linear spin chain which was originally introduced by Shi et al.[Phys. Rev. A 71
(2005), 032309, 5 pages], for which the coupling strength contains a parameter α and …
(2005), 032309, 5 pages], for which the coupling strength contains a parameter α and …
[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 …
[HTML][HTML] A classical model for perfect transfer and fractional revival based on q-Racah polynomials
H Schérer, L Vinet, A Zhedanov - Physics Letters A, 2022 - Elsevier
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 …
constants along a chain give new systems that exactly allow dispersionless end-to-end …