19 citations · 113 across the 14 of their papers we have counts for
10 papers · 1 filter
Bethe ansatz inside Calogero-Sutherland models
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk +1
We study the trigonometric quantum spin-Calogero-Sutherland model, and the Haldane-Shastry spin chain as a special case, using a Bethe-ansatz analysis. We harness the model's Yangi…
The deformed Inozemtsev spin chain
Rob Klabbers, Jules Lamers
The Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane-Shastry (HS) chains. In order to unlock its potential to study s…
From fermionic spin-Calogero-Sutherland models to the Haldane-Shastry chain by freezing
Jules Lamers, Didina Serban
The Haldane-Shastry spin chain has a myriad of remarkable properties, including Yangian symmetry and, for spin , explicit highest-weight eigenvectors featuring (the case $α= 1…
How coordinate Bethe ansatz works for Inozemtsev model
Rob Klabbers, Jules Lamers
Three decades ago, Inozemtsev found an isotropic long-range spin chain with elliptic pair potential that interpolates between the Heisenberg and Haldane-Shastry (HS) spin chains wh…
Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials
Jules Lamers, Vincent Pasquier, Didina Serban
We study the -analogue of the Haldane-Shastry model, a partially isotropic (XXZ-like) long-range spin chain that enjoys quantum-affine (really: quantum-loop) symmetries at finit…
The Functional Method for the Domain-Wall Partition Function
Jules Lamers
We review the (algebraic-)functional method devised by Galleas and further developed by Galleas and the author. We first explain the method using the simplest example: the computat…
Integral formula for elliptic SOS models with domain walls and a reflecting end
J. Lamers
In this paper we extend previous work of Galleas and the author to elliptic SOS models. We demonstrate that the dynamical reflection algebra can be exploited to obtain a functional…
Differential approach to on-shell scalar products in six-vertex models
W. Galleas, J. Lamers
In this work we obtain hierarchies of partial differential equations describing on-shell scalar products for two types of six-vertex models. More precisely, six-vertex models with…
A pedagogical introduction to quantum integrability, with a view towards theoretical high-energy physics
J. Lamers
These are lecture notes of an introduction to quantum integrability given at the Tenth Modave Summer School in Mathematical Physics, 2014, aimed at PhD candidates and junior resear…
Reflection algebra and functional equations
W. Galleas, J. Lamers
In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the part…