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The missing label problem and the analytical Bethe ansatz
Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet
The missing label for basis vectors of representations corresponding to the reduction can be provided by the eigenvalues of scalars in the env…
A classical model for perfect transfer and fractional revival based on -Racah polynomials
Hugo Schérer, Luc Vinet, Alexei Zhedanov
It is shown how choices based on the -Racah polynomials for the masses and spring constants along a chain give new systems that exactly allow dispersionless end-to-end transmiss…
Classical Heun observables and elliptic solvability
Luc Vinet, Alexei Zhedanov
We introduce a classical analog of the algebraic Heun operator associated with a classical Leonard pair. Given two observables and satisfying the classical counterpart of t…
Analytic "Newton's cradles" with perfect transfer and fractional revival
Hugo Schérer, Luc Vinet, Alexei Zhedanov
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 pro…
Entanglement of Free Fermions on Johnson Graphs
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Free fermions on Johnson graphs are considered and the entanglement entropy of sets of neighborhoods is computed. For a subsystem composed of a single neighborhood, an ana…