The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Skrypnyk, Taras
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211714
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz. Taras Skrypnyk. SIGMA 18 (2022), 074, 18 pages

We show that the Lipkin-Meshkov-Glick 2-fermion model is a particular case of a one-spin Gaudin-type model in an external magnetic field corresponding to a limiting case of a non-skew-symmetric elliptic -matrix and to an external magnetic field directed along one axis. We propose an exactly-solvable...