The quest for solvable multistate Landau-Zener models

DOI10.1088/1751-8121/aa6800zbMath1372.82032arXiv1701.01870OpenAlexW3105818066WikidataQ59486658 ScholiaQ59486658MaRDI QIDQ5347994

Nikolai A. Sinitsyn, Vladimir Y. Chernyak

Publication date: 11 August 2017

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

Full work available at URL: https://arxiv.org/abs/1701.01870

zbMATH Keywords

matrix product ansatzquantum integrabilitynonadiabatic transitionsLandau-Zener

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets ⋮ A large class of solvable multistate Landau–Zener models and quantum integrability ⋮ Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory ⋮ Integrable multistate Landau–Zener models with parallel energy levels ⋮ Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference ⋮ Integrability in the multistate Landau-Zener model with time-quadratic commuting operators

Cites Work

• Exact analytical solution of theN-level Landau - Zener-type bow-tie model
• Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems
• Atomi orientati in campo magnetico variabile
• Exact WKB analysis of non-adiabatic transition probabilities for three levels
• Counterintuitive transitions in the multistate Landau–Zener problem with linear level crossings
• Exact transition probabilities in a 6-state Landau–Zener system with path interference
• Quantum integrability in the multistate Landau–Zener problem

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