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Application of the nonequilibrium diagram technique to strongly driven atomic systems

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Journal of Russian Laser Research Aims and scope

Abstract

The Keldysh nonequilibrium diagram technique is presented in a form suitable for calculating the nonlinear optical response of elementary quantum systems. It is shown that the integral equation arising in the diagram technique for two-temporal static Green functionF(t,t′) =G rΩG α is equivalent to a system of three equations one of which is the kinetic equation for the functionF at coinciding times, while the other two are necessary for calculating the collision integral in the first equation. These equations make it possible to expressF(t, t′) via its value for coinciding times at a time moment that corresponds to the minimum value of timest andt′ and is written separately fort>t′ andt<t′. Joint solution of these three equations always leads to a kinetic equation of the non-Markovian type. Equations that make it possible to apply the diagram technique for description of relaxation of the initial nonequilibrium distribution at the kinetic stage of evolution are given as well.

A general formal approach is also used for solving problems in which the effects of non-Markovian relaxation of quantum systems in light fields are important. Problems of the effect of a weak electromagnetic field on the relaxation process in multilevel systems and a strong resonant field in a two-level system are considered. A new method for calculating the spectral distribution of resonance fluorescence is derived.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninsky Pr. 53, 117924, Moscow, Russia

    An. V. Vinogradov

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  1. An. V. Vinogradov
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Translated from Trudy Fizicheskogo Instituta im. P. N. Lebedeva (Proceedings of the Lebedev Physical Institute, Russian Academy of Sciences, Moscow), Vol. 187, pp. 117–143, 1988.

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Vinogradov, A.V. Application of the nonequilibrium diagram technique to strongly driven atomic systems. J Russ Laser Res 17, 551–578 (1996). https://doi.org/10.1007/BF02069173

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