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20122026
most citedFree-Fermion entanglement and orthogonal polynomials

45 citations · 343 across the 47 of their papers we have counts for

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Showing 2021Show all

7 papers · 1 filter

math-ph2021★ 4 cited

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…

math.RT2021★ 3 cited

The missing label of and its symmetry

N. Crampe, Loic Poulain d'Andecy, Luc Vinet

We present explicit formulas for the operators providing missing labels for the tensor product of two irreducible representations of . The result is seen as a part…

math.CO2021

The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and

Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet

The adjacency matrix of a symplectic dual polar graph restricted to the eigenspaces of an abelian automorphism subgroup is shown to act as the adjacency matrix of a weighted subspa…

nlin.PS2021★ 7 cited

Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary

Vincent Caudrelier, Nicolas Crampe, Carlos Mbala Dibaya

We perform the analysis of the focusing nonlinear Schrödinger equation on the half-line with time-dependent boundary conditions along the lines of the nonlinear method of images wi…

math.RT2021★ 15 cited

Racah algebras, the centralizer and its Hilbert-Poincaré series

Nicolas Crampe, Julien Gaboriaud, Loïc Poulain d'Andecy +1

The higher rank Racah algebra introduced recently is recalled. A quotient of this algebra by central elements, which we call the special Racah algebra , is then intro…

math-ph2021★ 14 cited

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…

quant-ph2021

Entanglement of Free Fermions on Hamming Graphs

Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet

Free fermions on Hamming graphs are considered and the entanglement entropy for two types of subsystems is computed. For subsets of vertices that form Hamming subgraphs, a…