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Nonadiabatic transitions in multilevel systems

Wilkinson, Michael and Morgan, Michael A. (2000) Nonadiabatic transitions in multilevel systems. Physical Review A, 61 (6). 062104-1. ISSN 1050-2947

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In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times t→±∞, the transition probabilities between adiabatic states are exponentially small. They are characterized by an exponent that depends on a phase integral along a path around a set of branch points connecting the energy-level surfaces in complex time. Only certain sequences of branch points contribute. We propose that these sequences are determined by a topological rule involving the Stokes lines attached to the branch points. Our hypothesis is supported by theoretical arguments and results of numerical experiments.

Item type: Article
ID code: 6445
Keywords: quantum system, adiabatic states, branch point, Stokes lines, nonadiabatic transitions, quantum, physics, Optics. Light, Physics, Atomic and Molecular Physics, and Optics
Subjects: Science > Physics > Optics. Light
Science > Physics
Department: Unknown Department
Depositing user: Miss Darcy Spiller
Date Deposited: 07 Jul 2008
Last modified: 20 Oct 2015 17:49

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