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09 July 2020
 
  » arxiv » 1501.3366

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Geometry of adiabatic Hamiltonians for two-level quantum systems
Jaakko Lehto ; Kalle-Antti Suominen ;
Date 14 Jan 2015
AbstractWe present the formulation of the problem of the coherent dynamics of quantum mechanical two-level systems in the adiabatic region in terms of the differential geometry of plane curves. We show that there is a natural plane curve corresponding to the Hamiltonian of the system for which the geometrical quantities have a simple physical interpretation. In particular, the curvature of the curve has the role of the nonadiabatic coupling.
Source arXiv, 1501.3366
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