Integrability in the multistate Landau-Zener model with time-quadratic commuting operators

DOI10.1088/1751-8121/abe427OpenAlexW3127616266MaRDI QIDQ5876974

Nikolai A. Sinitsyn, Vladimir Y. Chernyak

Publication date: 3 February 2023

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

Full work available at URL: https://arxiv.org/abs/2006.15144

zbMATH Keywords

nonadiabatic transitionsLandau-Zenerquantum integrable

Mathematics Subject Classification ID

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

Related Items (1)

Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations

Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
• Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
• Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems
• Exact WKB analysis of non-adiabatic transition probabilities for three levels
• Quantum integrability in the multistate Landau–Zener problem
• The quest for solvable multistate Landau-Zener models
• The model of a level crossing with a Coulomb band: exact probabilities of nonadiabatic transitions
• Integrable multistate Landau–Zener models with parallel energy levels

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