Exact fractional revival in spin chains

2015/06/30 by Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Materials Science · Mathematics · Physics and Astronomy · #Chain (unit) #Exact solutions in general relativity #Isospectral #Magnetism in coordination complexes #Nonlinear Waves and Solitons #Quantum #Quantum many-body systems #Spin (aerodynamics) #math-ph #math.MP #msc:81Q80 #msc:94A11 #quant-ph

paper · pdf · doi:10.1142/s0217984916503152

published as Mod. Phys. Lett. B 30, 1650315 (2016) · 4 pages

arxiv created 2015/07/16 · openalex created_date 2016/06/24 · openalex publication_date 2016/09/23 · arxiv updated 2017/02/15 · openalex updated_date 2026/08/05

Abstract

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 spin chains with fractional revival can be obtained by isospectral deformations of spin chains with perfect state transfer.

Citations

• PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
• Number-Theoretic Nature of Communication in Quantum Spin Systems
• Mirror Inversion of Quantum States in Linear Registers
• Fractional wave-function revivals in the infinite square well
• Quantum communication through spin chain dynamics: an introductory overview
• Perfect transfer of arbitrary states in quantum spin networks