Supersymmetry and integrability for a class of XY central spin models

DOI10.1088/1751-8121/ad043aarXiv2303.17837OpenAlexW4387693453MaRDI QIDQ6059155

J. R. Links, Unnamed Author

Publication date: 2 November 2023

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

Full work available at URL: https://arxiv.org/abs/2303.17837

zbMATH Keywords

integrabilitysupersymmetrycentral spin models

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Solution of the classical Yang-Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model
• Exactly-solvable models derived from a generalized Gaudin algebra
• Dynamical behaviour of an \(XX\) central spin model through Bethe ansatz techniques
• Analytic Bethe ansatz for fundamental representations of Yangians
• Integrability of an extended \(d+id\)-wave pairing Hamiltonian
• Anisotropic BCS-Richardson model and algebraic Bethe ansatz
• On the exact solvability of the anisotropic central spin model: an operator approach
• The eight-vertex model and lattice supersymmetry
• Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz
• Classical and quantum superintegrability with applications
• Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• The spin-s homogeneous central spin model: exact spectrum and dynamics
• Non-skew-symmetric classicalr-matrices and integrable cases of the reduced BCS model
• SU(3) Richardson–Gaudin models: three-level systems
• Exact solution of the $p+{\rm{i}}p$ Hamiltonian revisited: duality relations in the hole-pair picture
• Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field
• Separation of Variables and Superintegrability
• Solution for the dynamics of the BCS and central spin problems
• The Yang–Baxter paradox
• Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz
• Integrable models for confined fermions: applications to metallic grains
• Quantum dynamics of Gaudin magnets

This page was built for publication: Supersymmetry and integrability for a class of XY central spin models