An analytic spin chain model with fractional revival. (8th July 2016)

• Record Type: Journal Article
• Authors: Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei
• Is Part Of: Journal of physics. Volume 49:Number 33(2016)
• Publication Date: 2016-07-08
• Subjects: fractional revival -- spin chains -- perfect state transfer -- analytical model; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/33/335302
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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 polynomials which are orthogonal on quadratic bi-lattices. These models generalize the spin chain associated to the dual-Hahn polynomials. Instances where perfect state transfer also occurs are identified.