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- Title
The Floquet Theory of the Two-Level System Revisited.
- Authors
Schmidt, Heinz-Jürgen
- Abstract
In this article, we reconsider the periodically driven two-level system especially the Rabi problem with linear polarisation. The Floquet theory of this problem can be reduced to its classical limit, i.e. to the investigation of periodic solutions of the classical Hamiltonian equations of motion in the Bloch sphere. The quasienergy is essentially the action integral over one period and the resonance condition due to Shirley is shown to be equivalent to the vanishing of the time average of a certain component of the classical solution. This geometrical approach is applied to obtain analytical approximations to physical quantities of the Rabi problem with linear polarisation as well as asymptotic formulas for various limit cases.
- Subjects
FLOQUET theory; LINEAR polarization; HAMILTON'S equations; BLOCH sphere; QUANTUM mechanics
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 8, p705
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2018-0211