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Geometry of adiabatic Hamiltonians for two-level quantum systems | | Jaakko Lehto
; Kalle-Antti Suominen
; | | Date: |
14 Jan 2015 | | Abstract: | We 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 | | Services: | Forum | Review | PDF | Favorites | |
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