10 citations · 38 across the 24 of their papers we have counts for
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Perfect state transfer in inhomogeneous XX model of q-Racah type
Nicolas Crampe, Simon Lafrance, Charles Robillard +1
New exactly solvable one-dimensional XX spin chain models that exhibit perfect state transfer are defined. These models have inhomogeneous couplings and magnetic fields determined…
Polynomials of the Askey Scheme as Clebsch-Gordan Coefficients
Nicolas Crampé, Loïc Poulain d'Andecy, Luc Vinet
Given a semi-simple algebra equipped with a coproduct, the Clebsch-Gordan coefficients are the elements of the transition matrices between direct product representation and its irr…
Exactly solvable inhomogeneous XY spin chain
Pierre-Antoine Bernard, Nicolas Crampé, Quentin Labriet +2
Analytical expressions for the eigenvalues of certain inhomogeneous XY spin chains are computed. These models are rewritten in terms of free-fermion models using a well-known Jorda…
Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
Pierre-Antoine Bernard, Rafael I. Nepomechie, Gilles Parez +3
In this paper, we investigate the ground-state entanglement entropy in inhomogeneous free-boson models in one spatial dimension. We develop a powerful method to extract the leading…
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
This paper classifies the contiguity relations for finite families of polynomials within the (-)Askey scheme. The necessary and sufficient conditions for the existence of these…