18 citations · 31 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
Chern-Simons theory, link invariants and the Askey-Wilson algebra
Nicolas Crampé, Luc Vinet, Meri Zaimi
The occurrence of the Askey-Wilson (AW) algebra in the Chern-Simons (CS) theory and in the Reshetikhin-Turaev (RT) link invariant construction with quantum algebra $U_q(\ma…
Entanglement in Fermionic Chains and Bispectrality
Nicolas Crampé, Rafael I. Nepomechie, Luc Vinet
Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a…
Veronese subsequent analytic solutions of the sigma model equations described via Krawtchouk polynomials
Nicolas Crampé, Alfred Michel Grundland
The objective of this paper is to establish a new relationship between the Veronese subsequent analytic solutions of the Euclidean sigma model in two dimensions…