Results 91 to 100 of about 132,022 (206)
Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
SciPost Physics, 2020 The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable lattice models
György Z. Fehér, Balázs Pozsgay
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Finding the Dynamics of an Integrable Quantum Many‐Body System via Machine Learning
Advanced Physics Research, Volume 3, Issue 1, January 2024.Machine‐learning methods are used to find nonperturbative dynamics of the Gaudin magnet (central‐spin model). The Gaudin magnet has important applications in qubit dynamics/decoherence and in nonequilibrium superconductivity. Integrable models like the Gaudin magnet have many conserved quantities and their dynamics may therefore admit an efficient ...
Victor Wei +3 more
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Scalar products of Bethe vectors in the models with gl(m|n) symmetry
Nuclear Physics B, 2017 We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) superalgebra. Using coproduct properties of the Bethe vectors we obtain a sum formula for their scalar products.
A. Hutsalyuk +4 more
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Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We tackle the problem of constructing R$R$‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$. For this, we define an invertible exact functor Fq$\mathcal {F}_q$ from the category O$\mathcal {O}$ linked to Uq−1(g)$U_{q^{-1}}({\mathfrak {g ...
Théo Pinet
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Universal Bethe ansatz solution for the Temperley–Lieb spin chain
Nuclear Physics B, 2016 We consider the Temperley–Lieb (TL) open quantum spin chain with “free” boundary conditions associated with the spin-s representation of quantum-deformed sl(2).
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Bethe Ansatz for the Ruijsenaars Model of BC_1-Type
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants.
Oleg Chalykh
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Testing the Bethe ansatz with large N renormalons. [PDF]
Eur Phys J Spec Top, 2021 Mariño M, Miravitllas R, Reis T.
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Bethe/Gauge correspondence for A N spin chains with integrable boundaries
Journal of High Energy PhysicsWe continue the survey initiated in [1] to explore the Bethe/Gauge correspondence between supersymmetric SO/Sp gauge theories in 2d/3d/4d and open spin chain with integrable boundaries.
Ziwei Wang, Rui-Dong Zhu
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Integrable Boundary Flows and the g-function [PDF]
, 2012 This thesis explores renormalisation group flows in integrable quantum field theories with boundaries, as described by the g-function. The main focus is on the g-function in the staircase model, the renormalisation group flow of which passes close to the
WILBOURNE, RUTH,MARGARET +1 more
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On Bethe equations of 2d conformal field theory
Journal of High Energy PhysicsWe study the higher spin algebras of two-dimensional conformal field theory from the perspective of quantum integrability. Starting from Maulik-Okounkov instanton R-matrix and applying the procedure of algebraic Bethe ansatz, we obtain infinite commuting
Tomáš Procházka, Akimi Watanabe
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