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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• 1. Verfasser: Skrypnyk, Taras
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211714
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...