Results 91 to 100 of about 172 (130)

Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies

SciPost Physics
We consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature ...
Patrik Penc, Fabian H. L. Essler
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Yang-Baxter equation and cryptography

, 2022
We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involutive set-theoretic solutions. In case the initial solution is irretractable, all the induced solutions are also irretractable. In case the initial solution is indecomposable,
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Integrable discretisations and Yang–Baxter maps for super nonlinear Schrödinger systems

Nuclear Physics B
We construct an integrable Grassmann-extended vertex-bond discrete system, which can be restricted to the Grassmann-extended Adler–Yamilov system of partial difference equations, and we derive a Darboux matrix and a Bäcklund transformation for the latter.
Sotiris Konstantinou-Rizos
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On derived-indecomposable solutions of the Yang-Baxter equation

Publicacions Matemàtiques
24 pages.
I. Colazzo, M. Ferrara, M. Trombetti
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Algebraic classification of Hietarinta’s solutions of Yang-Baxter equations: invertible 4 × 4 operators

Journal of High Energy Physics
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to classify constant Yang-Baxter solutions for a two-dimensional local Hilbert
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan, Vladimir Korepin   +3 more
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Integrable deformations of the Breitenlohner–Maison model from 4d Chern–Simons theory

Journal of High Energy Physics
We derive integrable deformations of the 2d Breitenlohner–Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern–Simons theory ...
Meer Ashwinkumar, Matthias Blau
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Hagedorn singularity in exact U q su 2 $$ {\mathcal{U}}_{\textrm{q}}\left({\mathfrak{su}}_2\right) $$ S-matrix theories with arbitrary spins

Journal of High Energy Physics
Generalizing the quantum sine-Gordon and sausage models, we construct exact S-matrices for higher spin representations with quantum U q su 2 $$ {\mathcal{U}}_{\textrm{q}}\left({\mathfrak{su}}_2\right) $$ symmetry, which satisfy unitarity, crossing ...
Changrim Ahn, Tommaso Franzini, Francesco Ravanini   +2 more
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Integrable deformed $$H_{{4}}$$ H 4 WZW models and their non-Abelian duals as solutions of generalized supergravity equations

European Physical Journal C: Particles and Fields
We show that the Yang–Baxter (YB) deformed backgrounds of the Wess–Zumino–Witten (WZW) model based on the $$H_{{4}}$$ H 4 Lie group can be considered as solutions of the generalized supergravity equations (GSEs).
Ali Eghbali, Simin Ghasemi-Sorkhabi, Adel Rezaei-Aghdam   +2 more
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NOTES OF THE YANG-BAXTER EQUATION

Matrix Science Mathematic
In this work, we aim to characterize solutions of ABA = BAB, including identifying the necessary, and where possible sufficient, conditions under which distinct matrices A and B satisfy this relation. The approach is somewhat analogous to the study of AB = BA, i.e., determining when two distinct matrices commute.
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NEW SOLUTIONS OF THE YANG-BAXTER EQUATION AND THEIR YANG-BAXTERIZATION

International Journal of Modern Physics A, 1991
Through the examples associated with simple Lie algebras B2, C2 and D2, an approach of constructing new solutions of the spectral-independent Yang-Baxter equation (i.e. the braid group representations) was shown. These new solutions possess some particular features, such as that they do not have the classical limit in the usual sense of Refs.
Couture, M., Cheng, Y., Ge, M. L., Xue, K.   +3 more
openaire   +1 more source