activity
20082025
most citedThe half-infinite XXZ chain in Onsager's approach

110 citations · 1k across the 33 of their papers we have counts for

collaborators

34 papers

math-ph2025

Full counting statistics for twisted XXX spin chains

S. Belliard, A. Hutsalyuk

Full counting statistics for an arbitrary spin operator is considered for the twisted XXX spin one-half chain. We use the quantum inverse scattering formalism and the modified alge…

math-ph2021★ 2 cited

Overlap between usual and modified Bethe vectors

S. Belliard, N. A. Slavnov

We consider the overlap of Bethe vectors of the XXX spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for t…

math-ph2021★ 9 cited

Scalar product for the XXZ spin chain with general integrable boundaries

Samuel Belliard, Rodrigo A. Pimenta, Nikita A. Slavnov

We calculate the scalar product of Bethe states of the XXZ spin- chain with general integrable boundary conditions. The off-shell equations satisfied by the transfer m…

math-ph2019★ 33 cited

Why scalar products in the algebraic Bethe ansatz have determinant representation

S. Belliard, N. A. Slavnov

We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to t…

math-ph2018★ 14 cited

Scalar product of twisted XXX modified Bethe vectors

S. Belliard, N. A. Slavnov, B. Vallet

We consider closed XXX spin chains with broken total spin symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions of the modified mon…

math-ph2018★ 21 cited

Modified Algebraic Bethe Ansatz: Twisted XXX Case

Samuel Belliard, Nikita A. Slavnov, Benoit Vallet

We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)…