Results 91 to 100 of about 30,334 (209)
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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XXZ Bethe states as highest weight vectors of the $sl_2$ loop algebra at roots of unity
, 2007 We show that every regular Bethe ansatz eigenvector of the XXZ spin chain at roots of unity is a highest weight vector of the $sl_2$ loop algebra, for some restricted sectors with respect to eigenvalues of the total spin operator $S^Z$, and evaluate ...
Baxter R +34 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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Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets
, 2018 Various versions of the Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg-Ising ferromagnets. It is shown that for 2D square (3D qubic) finite-periodic or infinite lattices about a half (3/4) of states have
Bibikov, P. N.
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, 2018 This course of lectures on the algebraic Bethe ansatz was given in the Scientific and Educational Center of Steklov Mathematical Institute in Moscow. The course includes both classical well known results and very recent ones.
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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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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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BETHE ANSATZ AND QUANTUM GROUPS
Quantum Groups, Integrable Statistical Models and Knot Theory, 1993 The formulation and resolution of integrable lattice statistical models in a quantum group covariant way is the subject of this review. The Bethe Ansatz turns to be remarkably useful to implement quantum group symmetries and to provide quantum group representations even when $q$ is a root of unity.
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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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Exact solution of an anisotropic J1 − J2 spin chain with antiperiodic boundary condition
Nuclear Physics B, 2020 The exact solution of an integrable anisotropic Heisenberg spin chain with nearest-neighbor, next-nearest-neighbor and scalar chirality couplings is studied, where the boundary condition is the antiperiodic one.
Yi Qiao +3 more
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