45 citations · 343 across the 47 of their papers we have counts for
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe +1
The computation of the entanglement entropy for inhomogeneous free fermions chains based on q-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix a…
Bivariate -polynomial association schemes
P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2
Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…
Bethe ansatz diagonalization of the Heun-Racah operator
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe +1
The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah a…
Askey-Wilson braid algebra and centralizer of
Nicolas Crampe, Loic Poulain d'Andecy, Luc Vinet +1
A presentation of the centralizer of the three-fold tensor product of the spin representation of the quantum group is provided. It is expressed as a quot…
Entanglement of inhomogeneous free fermions on hyperplane lattices
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +3
We introduce an inhomogeneous model of free fermions on a -dimensional lattice with continuous parameters that control the hopping strength between adjacent sites…
Time and band limiting operator and Bethe ansatz
P. -A. Bernard, N. Crampe, L. Vinet
The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes…
An explanation of the commuting operator "miracle" in time and band limiting
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Time and band limiting operators are expressed as functions of the confluent Heun operator arising in the spheroidal wave equation. Explicit formulas are obtained when the bandwidt…