Coherent destruction of tunneling, dynamic localization, and the Landau-Zener formula

Yosuke Kayanuma, Keiji Saito

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

We clarify the internal relationship between the coherent destruction of tunneling (CDT) for a two-state model and the dynamic localization (DL) for a one-dimensional tight-binding model, under the periodical driving field. The time evolution of the tight-binding model is reproduced from that of the two-state model by a mapping of equation of motion onto a set of SU(2) operators. It is shown that DL is effectively an infinitely large dimensional representation of the CDT in the SU(2) operators. We also show that both of the CDT and the DL can be interpreted as a result of destructive interference in repeated Landau-Zener level crossings.

Original languageEnglish
Article number010101
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number1
DOIs
Publication statusPublished - 2008 Jan 22
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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