### 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 language | English |
---|---|

Pages (from-to) | 1224-1235 |

Number of pages | 12 |

Journal | Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers |

Volume | 46 |

Issue number | 3 A |

DOIs | |

Publication status | Published - 2007 Mar 8 |

### Fingerprint

### 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

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*,

*46*(3 A), 1224-1235. https://doi.org/10.1143/JJAP.46.1224

**First-principles study of time-dependent phenomena in photon-assisted tunneling : I. An electron injected into two-dimensional lozenge quantum dot.** / Muraguchi, Masakazu; Takeda, Kyozaburo.

Research output: Contribution to journal › Article

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*, vol. 46, no. 3 A, pp. 1224-1235. https://doi.org/10.1143/JJAP.46.1224

}

TY - JOUR

T1 - First-principles study of time-dependent phenomena in photon-assisted tunneling

T2 - I. An electron injected into two-dimensional lozenge quantum dot

AU - Muraguchi, Masakazu

AU - Takeda, Kyozaburo

PY - 2007/3/8

Y1 - 2007/3/8

N2 - 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.

AB - 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.

KW - Lifetime

KW - Photon-assisted resonant tunneling

KW - Rabi oscillation

KW - Time-dependent schrödlnger equation

KW - Two-photon process

KW - Wave packet

UR - http://www.scopus.com/inward/record.url?scp=34347388743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34347388743&partnerID=8YFLogxK

U2 - 10.1143/JJAP.46.1224

DO - 10.1143/JJAP.46.1224

M3 - Article

VL - 46

SP - 1224

EP - 1235

JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

SN - 0021-4922

IS - 3 A

ER -