Results 11 to 20 of about 16,880 (213)
Yang–Baxter equations and quantum entanglements
Quantum Information Processing, 2016 In this paper some results associated with a new type of Yang–Baxter equation (YBE) are reviewed. The braiding matrix of Kauffman–Lomonaco has been extended to the solution (called type-II) of Yang–Baxter equation (YBE) and the related chain Hamiltonian ...
Zhao, Qing +3 more
core +4 more sources
Multiple equations in math, physics, quantum information, and elsewhere are referred to as the Yang-Baxter equation, in spite of being a broad family of equations.
Lovitz, David
core +2 more sources
Classical Yang-Baxter equation from β-supergravity
Journal of High Energy Physics, 2019 Yang-Baxter deformations of superstring σ-models have recently inspired a supergravity solution generating technique. Using the open/closed string map and a Killing bi-vector as a deformation parameter, new solutions can be built, such that the ...
Ilya Bakhmatov, Edvard T. Musaev
doaj +3 more sources
Algebraic Structures in Set-Theoretic Yang-Baxter and Reflection Equations
We present resent results regarding invertible, non-degenerate solutions of the set-theoretic Yang-Baxter and reflection equations. We recall the notion of braces and we present and prove various fundamental properties required for the solutions of the ...
Anastasia Doikou
exaly +2 more sources
Reflection-Transmission Quantum Yang-Baxter Equations [PDF]
Journal of Physics A: Mathematical and General, 2004 We explore the reflection–transmission quantum Yang–Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equations is clarified and three general families of solutions are described ...
Ragoucy, E. +7 more
core +6 more sources
GENERALIZED YANG-BAXTER EQUATION [PDF]
Modern Physics Letters A, 1993 A generalization of the Yang-Baxter equation is proposed. It enables us to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Boltzmann weights of the sl (3) chiral Potts
Kashaev, R. M., Stroganov, Yu. G.
openaire +2 more sources
Braces and the Yang–Baxter Equation [PDF]
Communications in Mathematical Physics, 2014 Several aspects of relations between braces and non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation are discussed and many consequences are derived. In particular, for each positive integer $n$ a finite square-free multipermutation solution of the Yang-Baxter equation with multipermutation level $n$ and an abelian involutive ...
Jespers, Eric, Cedo, F., Okninski, J.
openaire +4 more sources
Skew braces and the Yang–Baxter equation [PDF]
Mathematics of Computation, 2016 Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation. We generalize Rump’s braces to the non-commutative setting and use this new structure to study not necessarily involutive non-degenerate set-theoretical solutions of the Yang–Baxter equation.
L. Guarnieri, Leandro Vendramin
openaire +5 more sources
Schur Polynomials and The Yang-Baxter Equation [PDF]
Communications in Mathematical Physics, 2011 We show that within the six-vertex model there is a parametrized Yang-Baxter equation with nonabelian parameter group GL(2)xGL(1) at the center of the disordered regime. As an application we rederive deformations of the Weyl character formule of Tokuyama and of Hamel and King.
Brubaker, Benjamin Brock +2 more
openaire +4 more sources
Stochasticization of Solutions to the Yang–Baxter Equation [PDF]
Annales Henri Poincaré, 2019 51 pages, 19 ...
Aggarwal, Amol +2 more
openaire +5 more sources