First-principles study of time-dependent phenomena in photon-assisted tunneling

I. An electron injected into two-dimensional lozenge quantum dot

Masakazu Muraguchi, Kyozaburo Takeda

    Research output: Contribution to journalArticle

    13 Citations (Scopus)

    Abstract

    We theoretically study the dynamical properties of an electron confined in a two-dimensional (2D) quantum dot (QD) under photon illumination, by solving the time-dependent (TD) Schrödinger equation numerically by the finite difference method in both real space and actual time. To deepen our understanding of the TD features of photon-assisted tunneling (PAT), we employ projection analysis, in which the TD wave function at a QD is decomposed into (static) resonant states by calculating the inner products among them. This analysis further enables the deduction of effective lifetime, by which one can infer the actual period of the electron confined in the QD. The wave number distribution for the transmitted electron is also discussed toexamine the propagation of the electron through the system.

    Original languageEnglish
    Pages (from-to)1224-1235
    Number of pages12
    JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
    Volume46
    Issue number3 A
    DOIs
    Publication statusPublished - 2007 Mar 8

    Fingerprint

    Semiconductor quantum dots
    Photons
    quantum dots
    Electrons
    photons
    electrons
    deduction
    Wave functions
    Finite difference method
    Lighting
    projection
    illumination
    wave functions
    life (durability)
    propagation
    products

    Keywords

    • Lifetime
    • Photon-assisted resonant tunneling
    • Rabi oscillation
    • Time-dependent schrödlnger equation
    • Two-photon process
    • Wave packet

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

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    abstract = "We theoretically study the dynamical properties of an electron confined in a two-dimensional (2D) quantum dot (QD) under photon illumination, by solving the time-dependent (TD) Schr{\"o}dinger equation numerically by the finite difference method in both real space and actual time. To deepen our understanding of the TD features of photon-assisted tunneling (PAT), we employ projection analysis, in which the TD wave function at a QD is decomposed into (static) resonant states by calculating the inner products among them. This analysis further enables the deduction of effective lifetime, by which one can infer the actual period of the electron confined in the QD. The wave number distribution for the transmitted electron is also discussed toexamine the propagation of the electron through the system.",
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