Geometry of adiabatic Hamiltonians for two-level quantum systems
Quantum Physics
2015-06-04 v1
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.
Cite
@article{arxiv.1501.03366,
title = {Geometry of adiabatic Hamiltonians for two-level quantum systems},
author = {Jaakko Lehto and Kalle-Antti Suominen},
journal= {arXiv preprint arXiv:1501.03366},
year = {2015}
}
Comments
14 pages, 4 figures