標題: Calculation of spontaneous emission from a V-type three-level atom in photonic crystals using fractional calculus
作者: Huang, Chih-Hsien
Wu, Jing-Nuo
Li, Yen-Yin
Cheng, Szu-Cheng
Hsieh, Wen-Feng
光電工程學系
光電工程研究所
Department of Photonics
Institute of EO Enginerring
公開日期: 5-Jul-2011
摘要: Fractional time derivative, an abstract mathematical operator of fractional calculus, is used to describe the real optical system of a V-type three-level atom embedded in a photonic crystal. A fractional kinetic equation governing the dynamics of the spontaneous emission from this optical system is obtained as a fractional Langevin equation. Solving this fractional kinetic equation by fractional calculus leads to the analytical solutions expressed in terms of fractional exponential functions. The accuracy of the obtained solutions is verified through reducing the system into the special cases whose results are consistent with the experimental observation. With accurate physical results and avoiding the complex integration for solving this optical system, we propose fractional calculus with fractional time derivative as a better mathematical method to study spontaneous emission dynamics from the optical system with non-Markovian dynamics.
URI: http://dx.doi.org/10.1103/PhysRevA.84.013802
http://hdl.handle.net/11536/21681
ISSN: 1050-2947
DOI: 10.1103/PhysRevA.84.013802
期刊: PHYSICAL REVIEW A
Volume: 84
Issue: 1
起始頁: 0
結束頁: 0
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