Agarwal, G. S. (1970) Masterequation approach to spontaneous emission Physical Review A, 2 (5). pp. 20382046. ISSN 10502947

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Official URL: http://pra.aps.org/abstract/PRA/v2/i5/p2038_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.2.2038
Abstract
Spontaneous emission from a system of N identical twolevel atoms is considered using a master equation recently derived by the author. The master equation describing the time evolution of the phasespace distribution function associated with the reduced density operator of the atomic system is obtained. This master equation, which is of the type of a FokkerPlanck equation, is used to derive the equation of motion for the mean values of various atomic operators characterizing the physical properties of the system. This leads to a hierarchy of equations, which is decoupled by making a suitable approximation. The intensity of the spontaneously emitted radiation is then calculated. Next, the spontaneous emission from geometrically small systems is considered. For this case, the master equation is solved exactly, and an exact expression for the radiation rate is obtained. The exact solution of the master equation is also used to calculate the normally ordered correlation functions for the electric field. Section V deals with the spontaneous emission from a system of harmonic oscillators, the size of the system being small compared to a wavelength. The master equation for this problem is also solved exactly, and it is shown that this system also leads to superradiant emission in some cases, e.g., if all the oscillstors are excited initially to some coherent state z_{0}.
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ID Code:  79015 
Deposited On:  23 Jan 2012 14:44 
Last Modified:  18 May 2016 21:33 
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