Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-01-11
Phys. Rev. B 67, 165301 (2003).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 6 figures. Minor changes to text, this version to be published in Physical Review B
Scientific paper
10.1103/PhysRevB.67.165301
Calculation of the Floquet quasi-energies of a system driven by a time-periodic field is an efficient way to understand its dynamics. In particular, the phenomenon of dynamical localization can be related to the presence of close approaches between quasi-energies (either crossings or avoided crossings). We consider here a driven two-level system, and study how the locations of crossings in the quasi-energy spectrum alter as the field parameters are changed. A perturbational scheme provides a direct connection between the form of the driving field and the quasi-energies which is exact in the limit of high frequencies. We firstly obtain relations for the quasi-energies for some common types of applied field in the high-frequency limit. We then show how the locations of the crossings drift as the frequency is reduced, and find a simple empirical formula which describes this drift extremely well in general, and appears to be exact for the specific case of square-wave driving.
Creffield Charles E.
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