Spin lattices, state transfer, and bivariate Krawtchouk polynomials-Reference-Cited by-同舟云学术

Spin lattices, state transfer, and bivariate Krawtchouk polynomials

Published:2015-09 Issue:9 Volume:93 Page:979-984
ISSN:0008-4204
Container-title:Canadian Journal of Physics
language:en
Short-container-title:Can. J. Phys.

Author:

Genest Vincent X.¹,Miki Hiroshi²,Vinet Luc¹,Zhedanov Alexei³

Affiliation:

1. Centre de recherches mathématiques, Université de Montréal, P.O. Box 6128, Centre-ville Station, Montréal, QC H3C 3J7, Canada.

2. Department of Electronics, Doshisha University, Kyoto 6100394, Japan.

3. Donetsk Institute for Physics and Technology, Donetsk 340114, Ukraine.

Abstract

The quantum state transfer properties of a class of two-dimensional spin lattices on a triangular domain are investigated. Systems for which the 1-excitation dynamics is exactly solvable are identified. The exact solutions are expressed in terms of the bivariate Krawtchouk polynomials that arise as matrix elements of the unitary representations of the rotation group on the states of the three-dimensional harmonic oscillator.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Link

http://www.nrcresearchpress.com/doi/pdf/10.1139/cjp-2014-0568

Reference19 articles.

1. Quantum communication through spin chain dynamics: an introductory overview

2. PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL

3. Mirror Inversion of Quantum States in Linear Registers

4. Quantum communication through a spin chain with interaction determined by a Jacobi matrix

5. Almost perfect state transfer in quantum spin chains

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A bispectralq-hypergeometric basis for a class of quantum integrable models;Journal of Mathematical Physics;2018-01

2. Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results;Symmetry, Integrability and Geometry: Methods and Applications;2017-09-14

3. 3-dimensional solvable XX spin lattice Hamiltonian derived from 3-variable Krawtchouk polynomials;JSIAM Letters;2016