Calculation of spontaneous emission from a V-type three-level atom in photonic crystals using fractional calculus

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题名:	Calculation of spontaneous emission from a V-type three-level atom in photonic crystals using fractional calculus
作者:	Huang, CH (Huang, Chih-Hsien)1,2,3 Wu, JN (Wu, Jing-Nuo) Li, YY (Li, Yen-Yin) Cheng, SC (Cheng, Szu-Cheng) Hsieh, WF (Hsieh, Wen-Feng)
贡献者:	Dept Phys
关键词:	BAND-GAP EDGE
日期:	2011-07
上传时间:	2013-01-16 14:22:00 (UTC+8)
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.
關聯:	PHYSICAL REVIEW A Volume: 84 Issue: 1 Article Number: 013802
显示于类别:	[光電物理系] 期刊論文

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