arXiv:1110.6475 · Journal of Physics A Mathematical and Theoretical

Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer

Luc Vinet, Alexei S. Zhedanov

Published Jun 14, 2012• 33 citations

Abstract

Analogues of Krawtchouk polynomials defined on a bi-lattice are introduced. They are shown to provide a (novel) spin chain with perfect transfer. Their characterization, as well as their connection to the quadratic Hahn algebra, is given.

DOI: 10.1088/1751-8113/45/26/265304

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