Eigenvalue-based determinants for scalar products and form factors in Richardson–Gaudin integrable models coupled to a bosonic mode

DOI10.1088/1751-8113/48/42/425201zbMath1326.81283arXiv1501.05827OpenAlexW3101683693MaRDI QIDQ3452317

Mario van Raemdonck, Stijn De Baerdemacker, Pieter W Claeys, Dimitri Van Neck

Publication date: 11 November 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05827

zbMATH Keywords

integrable systems form factors scalar products Richardson-Gaudin models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field ⋮ On the exact solvability of the anisotropic central spin model: an operator approach ⋮ Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem ⋮ Steady-states of out-of-equlibrium inhomogeneous Richardson–Gaudin quantum integrable models in quantum optics ⋮ On completeness of Bethe Ansatz solutions for sl(2) Richardson–Gaudin systems ⋮ Exact solution for the inhomogeneous Dicke model in the canonical ensemble: thermodynamical limit and finite-size corrections

This page was built for publication: Eigenvalue-based determinants for scalar products and form factors in Richardson–Gaudin integrable models coupled to a bosonic mode