Analytic "Newton's cradles" with perfect transfer and fractional revival

Abstract

Analytic mass-spring chains with dispersionless pulse transfer and fractional revival are presented. These are obtained using the properties of the para-Racah polynomials. This provides classical analogs of the quantum spin chains that realize important tasks in quantum information: perfect state transfer and entanglement generation.

14 pages, 7 figures, 9 supplementary videos

References in corpus (3)

• Mirror Inversion of Quantum States in Linear Registers
• Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains
• Dispersionless pulse transport in mass-spring chains: All possible perfect Newton's cradles

Cited by in corpus (1)

• A classical model for perfect transfer and fractional revival based on $q$-Racah polynomials