Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-07-22
J. Phys. Soc. Jpn. Vol. 71 (2002) 2427
Nonlinear Sciences
Chaotic Dynamics
12 pages and 6 figures
Scientific paper
10.1143/JPSJ.71.2427
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.
Machida Manabu
Miyashita Seiji
Saito Keiji
No associations
LandOfFree
Frequency Dependence of Quantum Localization in a Periodically Driven System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Frequency Dependence of Quantum Localization in a Periodically Driven System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Frequency Dependence of Quantum Localization in a Periodically Driven System will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-673218