Frequency Dependence of Quantum Localization in a Periodically Driven System

Manabu Machida, Keiji Saito, Seiji Miyashita

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2427-2433
Number of pages7
JournalJournal of the Physical Society of Japan
Volume71
Issue number10
DOIs
Publication statusPublished - 2002 Oct

Keywords

  • Quantum chaos
  • Quantum dynamics
  • Quantum localization
  • Random matrix

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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