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arXiv · 1501.03366

Geometry of adiabatic Hamiltonians for two-level quantum systems

Jaakko Lehto·Kalle-Antti Suominen
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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.

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Jaakko Lehto, Kalle-Antti Suominen. 2015-01-14. Geometry of adiabatic Hamiltonians for two-level quantum systems. https://doi.org/10.1088/1751-8113/48/23/235301

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