Quantum spin chains with fractional revival
Mathematical Physics
2016-07-20 v1 Classical Analysis and ODEs
math.MP
Quantum Physics
Abstract
A systematic study of fractional revival at two sites in quantum spin chains is presented and analytic models with this phenomenon are exhibited. The generic models have two essential parameters and a revival time that does not depend on the length of the chain. They are obtained by combining two basic ways of realizing fractional revival in a spin chain each bringing one parameter. The first proceeds through isospectral deformations of spin chains with perfect state transfer. The second arises from the recurrence coefficients of the para-Krawtchouk polynomials with a bi-lattice orthogonality grid. It corresponds to an analytic model previously identified that can possess perfect state transfer in addition to fractional revival.
Keywords
Cite
@article{arxiv.1507.05919,
title = {Quantum spin chains with fractional revival},
author = {Vincent X. Genest and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1507.05919},
year = {2016}
}
Comments
25 pages;