Wilkinson, Michael and Morgan, Michael A. (2000) Nonadiabatic transitions in multilevel systems. Physical Review A, 61 (6). 0621041. ISSN 10502947

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Abstract
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 energylevel 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:  24 Jul 2015 13:07 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/6445 
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