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

Mathematical Physics 2022-03-14 v1 math.MP Classical Physics Quantum Physics

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.

Keywords

Cite

@article{arxiv.2108.09386,
  title  = {Analytic "Newton's cradles" with perfect transfer and fractional revival},
  author = {Hugo Schérer and Luc Vinet and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:2108.09386},
  year   = {2022}
}

Comments

14 pages, 7 figures, 9 supplementary videos