Chirped Gaussian Pulse Excitation of a Harmonic Oscillator

R. A. Alharbey *

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O.Box 42696, Jeddah 21551, Kingdom of Saudi Arabia.

H. Gasim

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O.Box 42696, Jeddah 21551, Kingdom of Saudi Arabia.

F. N. M. Al-Showaikh

Department of Mathematics, College of Science, University of Bahrain, P.O.Box 32038, Kingdom of Bahrain.

S. S. Hassan

Department of Mathematics, College of Science, University of Bahrain, P.O.Box 32038, Kingdom of Bahrain.

*Author to whom correspondence should be addressed.


Abstract

We investigate the basic problem of the interaction of a single quantised mode of the radiation field, modelled as quantised harmonic oscillator (HO) with a laser pulse of chirped Gaussian line-shape. The average photon number and the transient emitted spectrum are calculated analytically in terms of the error function of complex argument. The spectral peaks of the line structure of the emitted radiation are examined for different system parameters and initial states of the HO.

Keywords: Harmonic Oscillator, quantum optics, radiation, wave radiation


How to Cite

Alharbey, R. A., H. Gasim, F. N. M. Al-Showaikh, and S. S. Hassan. 2019. “Chirped Gaussian Pulse Excitation of a Harmonic Oscillator”. Physical Science International Journal 20 (4):1-12. https://doi.org/10.9734/PSIJ/2018/46248.

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