Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1008.1844 · Physical Review B

Simplified derivation of the Bethe-ansatz equations for the Dicke model

Oleksandr Tsyplyatyev, Jan von Delft, Daniel Loss

Published Sep 21, 2010• 17 citations
arXivHTMLPDF

Abstract

We present an elementary derivation of the exact solution (Bethe-Ansatz equations) of the Dicke model, using only commutation relations and an informed Ansatz for the structure of its eigenstates.
DOI
10.1103/physrevb.82.092203

Related papers

Nested Bethe Ansatz and Finite Dimensional Canonical Commutation Relations

Alex Kasman

Recent interest in discrete, classical integrable systems has focused on their connection to quantum integrable systems via the Bethe equations. In this note, solutions to the rational nested Bethe ansatz (RNBA) equations are constructed using the ``completed Calogero-Moser phase space'' of matrices which satisfy a finite dimensional analogue of the canonical commutation relationship. A key feature is the fact that the RNBA equations are derived only from this commutation relationship and some elementary linear algebra. The solutions constructed in this way inherit continuous and discrete symmetries from the CM phase space.

arXiv:math-ph/0004030•Apr 24, 2000•3 citations

A simple derivation of the higher-level Bethe ansatz equations

B -D Dorfel, Alexey A. Vladimirov

Physics Letters A•Apr 1, 1989•0 citations

The Bethe ansatz for 1D interacting anyons

Murray T. Batchelor, Xi‐Wen Guan, J-S He

This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This includes a demonstration of the subtle role of the anyonic phases in the Bethe ansatz arising from the anyonic commutation relations. The thermodynamic Bethe ansatz equations defining the temperature dependent properties of the model are also derived, from which some ground state properties are obtained.

arXiv:cond-mat/0611450•Journal of Statistical Mechanics Theory and Experiment•Mar 9, 2007•52 citations

The Bethe-ansatz equations for the isotropic Heisenberg antiferromagnet of arbitrary spin

L.V. Avdeev, B -D Dorfel

Nuclear Physics B•Jan 1, 1985•24 citations

An important equation for the Anderson model

Baohua Teng

This paper proves an important equation for the Anderson model. Then, using this equation we deal exactly with the Anderson model and obtain the exact analytical expression for the ground-state energy. This result coincides with the result of the Bethe ansatz.

Journal of Physics Condensed Matter•Jan 30, 1995•3 citations

The One-particle Exact Solution and the Boundary K Matrices for the Three Component Bariev Model under Open Boundary Condition

E Wu

By using the the fundamental commutation relations and the n-particle state of the three component bariev model under open boundary condition,the one-particle exact solution and the Bethe ansatz equations are given,as well as the boundary matrices which play a crucial role for obtaining the n-particle solution by means of the nested algebraic Bethe ansatz method.

Journal of Xianyang Normal University•Jan 1, 2010•0 citations
Recent interest in discrete, classical integrable systems has focused on their connection to quantum integrable systems via the Bethe equations. In this note, solutions to the rational nested Bethe ansatz (RNBA) equations are constructed using the ``completed Calogero-Moser phase space'' of matrices which satisfy a finite dimensional analogue of the canonical commutation relationship. A key feature is the fact that the RNBA equations are derived only from this commutation relationship and some elementary linear algebra. The solutions constructed in this way inherit continuous and discrete symmetries from the CM phase space.