Frequency Dependence of Quantum Localization in a Periodically Driven System

Manabu Machida, Keiji Saito, Seiji Miyashita

研究成果: Article査読

6 被引用数 (Scopus)


We study the quantum localization phenomena for a random matrix model belonging to the Gaussian orthogonal ensemble (GOE). An oscillating external field is applied on the system. After the transient time evolution, energy is saturated to various values depending on the frequencies. We investigate the frequency dependence of the saturated energy. This dependence cannot be explained by a naive picture of successive independent Landau-Zener transitions at avoided level crossing points. The effect of quantum interference is essential. We define the number of Floquet states which have large overlap with the initial state, and calculate its frequency dependence. The number of Floquet states shows approximately linear dependence on the frequency, when the frequency is small. Comparing the localization length in Floquet states and that in energy states from the viewpoint of the Anderson localization, we conclude that the Landau-Zener picture works for the local transition processes between levels.

ジャーナルJournal of the Physical Society of Japan
出版ステータスPublished - 2002 10

ASJC Scopus subject areas

  • Physics and Astronomy(all)

フィンガープリント 「Frequency Dependence of Quantum Localization in a Periodically Driven System」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。