Results 41 to 50 of about 132,022 (206)

Jordan blocks and the Bethe Ansatz I: The eclectic spin chain as a limit

Nuclear Physics B, 2022
We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors.
Juan Miguel Nieto García, Leander Wyss
doaj   +1 more source

Bethe ansatz and isomondromy deformations [PDF]

Theoretical and Mathematical Physics, 2009
We study symmetries of the Bethe equations for the Gaudin model appeared naturally in the framework of the geometric Langlands correspondence under the name of Hecke operators and under the name of Schlesinger transformations in the theory of isomonodromic deformations, and particularly in the theory of Painlevé transcendents.
openaire   +3 more sources

The Bethe ansatz

Journal of Physics A: Mathematical and Theoretical, 2016
We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the
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Spin-12 XYZ model revisit: General solutions via off-diagonal Bethe ansatz

Nuclear Physics B, 2014
The spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q ...
Junpeng Cao, Shuai Cui, Wen-Li Yang, Kangjie Shi, Yupeng Wang   +4 more
doaj   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, Volume 13, Issue 47, 24 August 2026.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Spin‐s$s$ U(1)$U(1)$‐Eigenstate Preparation

Annalen der Physik, Volume 538, Issue 7, July 2026.
A Gray code for bounded integer compositions, together with Gray gates (shown below), are used to prepare general U(1)‐eigenstates of a spin‐s chain. ABSTRACT We formulate a deterministic algorithm for preparing a general U(1)$U(1)$‐eigenstate of a spin‐s$s$ chain of length n$n$. These states consist of linear combinations of computational basis states
Nabi Zare Harofteh, Rafael I. Nepomechie
wiley   +1 more source

Kaleidoscope Yang-Baxter equation for Gaudin’s kaleidoscope models

SciPost Physics Core
Recently, researchers have proposed the Asymmetric Bethe Ansatz method, a theoretical tool that extends the scope of Bethe Ansatz-solvable models by "breaking" partial mirror symmetry via the introduction of a fully reflecting boundary.
Wen-Jie Qiu, Xi-Wen Guan, Yi-Cong Yu
doaj   +1 more source

Completeness of the Bethe Ansatz on Weyl Alcoves [PDF]

Letters in Mathematical Physics, 2009
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.
openaire   +5 more sources

Self‐Organization Conditions and Invariant Measure for Traffic Flow on Topological Bouquet With Nonuniform Petals

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
A dynamical system is studied such that belongs to a class of Buslaev nets. This class contains traffic models with complex network structure. We provide results for a more general system than the system that was in consideration earlier. A new version of model has been provided.
Marina Yashina, Jesús Vigo-Aguiar, Alexander Tatashev, Pramita Mishra   +3 more
wiley   +1 more source

Z(_N)-symmetric field theories and the thermodynamic Bethe ansatz [PDF]

, 1996
This thesis is concerned with perturbed conformal field theory, the thermodynamic Bethe ansatz technique and applications to statistical mechanics. In particular, the phase space of two dimensional Z(_N)-symmetric statistical models is examined using ...
Thompson, K.E., Thompson, Kevin Edward
core