The Floquet Theory of the Two-Level System Revisited

Autor(en): Schmidt, Heinz-Juergen
Stichwörter: Bloch-Siegert Shift; Chemistry; Chemistry, Physical; DRIVEN; Floquet Theory; PHASE; Physics; Physics, Multidisciplinary; Rabi Problem
Erscheinungsdatum: 2018
Herausgeber: WALTER DE GRUYTER GMBH
Journal: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Volumen: 73
Ausgabe: 8
Startseite: 705
Seitenende: 731
Zusammenfassung: 
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.
ISSN: 09320784
DOI: 10.1515/zna-2018-0211

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