Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets

DOI10.1016/j.aop.2018.01.017zbMath1390.81199arXiv1802.01571OpenAlexW3100775363WikidataQ114209554 ScholiaQ114209554MaRDI QIDQ1635678

Emil A. Yuzbashyan

Publication date: 1 June 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01571

zbMATH Keywords

Knizhnik-Zamolodchikov equationsGaudin magnetsintegrable time-dependent HamiltoniansLandau-Zener models

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Time-dependent Schrödinger equations and Dirac equations (35Q41) Special quantum systems, such as solvable systems (81Q80)

Related Items (8)

A large class of solvable multistate Landau–Zener models and quantum integrability ⋮ Generalized \(s\ell(2)\) Gaudin algebra and corresponding Knizhnik-Zamolodchikov equation ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations ⋮ Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models ⋮ Multitime Landau–Zener model: classification of solvable Hamiltonians ⋮ Integrable multistate Landau–Zener models with parallel energy levels ⋮ Integrability in the multistate Landau-Zener model with time-quadratic commuting operators

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