Frequency Dependence of Quantum Localization in a Periodically Driven System
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概要
- 論文の詳細を見る
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.
- Physical Society of Japanの論文
- 2002-10-15
著者
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Machida Manabu
Department Of Applied Physics School Of Engineering The University Of Tokyo
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Saito Keiji
Department Of Applied Physics Graduate School Of Engineering University Of Tokyo
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Miyashita Seiji
Department Of Applied Physics Graduate School Of Engineering The University Of Tokyo
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Miyashita Seiji
Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656
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Machida Manabu
Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656
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Saito Keiji
Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656
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