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Progress of Theoretical Physics
Supplement No.145 (2002) pp. 290-293
URL : http://ptp.ipap.jp/link?PTPS/145/290/
DOI : 10.1143/PTPS.145.290

Frequency Dependence of Quantum Localization in a Periodically Driven System

Manabu Machida,* Keiji Saito and Seiji Miyashita

Department of Applied Physics, School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan

(Received April 1, 2002)

We study the quantum localization of a GOE random matrix model driven by a periodic external field. After the diffusion is suppressed, the average energy oscillates around some finite value E sat. We study how E sat depends on the frequency of the external field. In order to investigate this phenomenon, we also study the frequency dependence of the relevant number of Floquet states N min, and discuss its dependence in the view of the Anderson localization in the region where the frequency is not large.


*E-mail: machida@spin.t.u-tokyo.ac.jp


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