Master equations in phase-space formulation of quantum optics

Agarwal, G. S. (1969) Master equations in phase-space formulation of quantum optics Physical Review, 178 (5). pp. 2025-2035. ISSN 0031-899X

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Using the recently discussed quantum dynamics in phase space, we derive a master equation, starting from the phase-space equivalent to the Schrodinger equation of motion for the density operator. Use is made of Zwanzig's projection-operator techniques and some explicit realizations of the projection operators are given. The master equation is then applied to show that the time-correlation functions, as defined in the text, satisfy an integral equation of the Volterra type. Next, a master equation for a system interacting with a large system is derived. As an illustration, we determine the lowest-order Born approximation and carry out a short-memory-approximation calculation for an oscillator coupled to a reservoir and for a two-level system interacting with an oscillator heat bath; we obtain equations of the Fokker-Planck type. Some physical implications of these equations are also discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:78889
Deposited On:23 Jan 2012 11:21
Last Modified:18 May 2016 21:30

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