Numerical algorithm for the standard pairing problem based on the Heine-Stieltjes correspondence and the polynomial approach

DOI10.1016/j.cpc.2014.05.023zbMath1360.82005OpenAlexW2055726825WikidataQ112880880 ScholiaQ112880880MaRDI QIDQ525870

Lina Bao, Jerry P. Draayer, Kristina D. Launey, Mingxia Xie, Xin Guan, Feng Pan

Publication date: 5 May 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.05.023

zbMATH Keywords

Bethe ansatz equationsexact pairing problemHeine-Stieltjes polynomial approachMonte Carlo sampling procedureNewton-raphson algorithmRichardson-Gaudin theory

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Exactly solvable models; Bethe ansatz (82B23) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items

Exact solution of the two-axis countertwisting Hamiltonian ⋮ Extended Bethe-Richardson-Gaudin ansatzes for the solution of a mean-field plus separable pairing model with three non-degenerate \(j\)-orbits ⋮ An iterative approach for the exact solution of the pairing Hamiltonian ⋮ Exact solution of the two-axis countertwisting hamiltonian for the half-integerJcase ⋮ Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate \(j\)-orbits

Uses Software

• exactPairingHS

Cites Work

• Large-\(N\) limit of the exactly solvable BCS model: Analytics versus numerics
• Solving the Richardson equations close to the critical points