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Problems of statistical theory of interaction of atoms with radiation

Yu. L. Klimontovich

Uspekhi Fizicheskih NaukJan 1, 197010 citations

Statistics of polaritons in the nonlinear regime

P. Schwendimann, Cristiano Ciuti, A. Quattropani

We discuss the quantum statistical properties of exciton polaritons in semiconductor microcavities. The nonlinear dynamics is treated within a model of interacting bosons for the signal, pump, and idler modes. We focus on the regime of parametric amplification below threshold. We present the time evolution of the signal and idler modes towards their stationary solutions and discuss their statistical properties. In particular, we evaluate the amount of squeezing of the radiation emitted out of the microcavity in a configuration, which may be relevant for experiments.We discuss the quantum statistical properties of exciton polaritons in semiconductor microcavities. The nonlinear dynamics is treated within a model of interacting bosons for the signal, pump, and idler modes. We focus on the regime of parametric amplification below threshold. We present the time evolution of the signal and idler modes towards their stationary solutions and discuss their statistical properties. In particular, we evaluate the amount of squeezing of the radiation emitted out of the microcavity in a configuration, which may be relevant for experiments.

Physical review. B, Condensed matterOct 20, 200391 citations

PROBLEMS OF STATISTICAL THEORY OF INTERACTION OF ATOMS WITH RADIATION

Yu. L. Klimontovich

Soviet Physics UspekhiApr 30, 19717 citations

Nonsecular expansion of evolution operator and field statistics

V. I. Zakharov, Vladimir G. Tyuterev

A new expansion of the evolution operator is obtained that describes the interaction of an atom with a quantum-electromagnetic field. This expansion, in contrast to the traditional ones, does not contain secular terms. Time evolution of photon antibunching and bunching in degenerate two-photon processes in an atom is investigated. The method of radiation preparation having sub-Poisson statistics is discussed.

Journal of the Optical Society of America BFeb 1, 19853 citations

Quantum mechanical understanding of light

Harry Paul

Quantum mechanical uncertainty After reviewing the main characteristics of the classical description of light, let us discuss those aspects of the quantization of the electromagnetic field which are of relevance for the analysis of the phenomena we are interested in. It seems a reasonable place to start to make clear the fundamental difference between the classical and the quantum mechanical description of nature; we will come across this difference many times when discussing experiments, and it will often give us a headache. We have to deal with the physical meaning of what is called uncertainty. The starting point of the classical description is the conviction that natural processes have a “factual” character. This means that physical variables such as the position or momentum of a particle have, in each single case, a well defined (in general, time dependent) value. However, it will not always be possible to measure all the appropriate variables (for instance, the instantaneous electric field strength of a radiation field); furthermore under normal circumstances we are able to measure only with a finite precision. Hence the basic credo of classical physics should be given in the following form: we are justified in imagining a world with variables possessing well defined values which are not known precisely (or not known at all). In doing this we are not forming any conclusions that contradict our everyday experiences. This is the fundamental concept of classical statistics: we are satisfied with the use of probability distributions for the variables we are interested in, not from fundamental but purely practical reasons.Quantum mechanical uncertainty After reviewing the main characteristics of the classical description of light, let us discuss those aspects of the quantization of the electromagnetic field which are of relevance for the analysis of the phenomena we are interested in. It seems a reasonable place to start to make clear the fundamental difference between the classical and the quantum mechanical description of nature; we will come across this difference many times when discussing experiments, and it will often give us a headache. We have to deal with the physical meaning of what is called uncertainty. The starting point of the classical description is the conviction that natural processes have a “factual” character. This means that physical variables such as the position or momentum of a particle have, in each single case, a well defined (in general, time dependent) value. However, it will not always be possible to measure all the appropriate variables (for instance, the instantaneous electric field strength of a radiation field); furthermore under normal circumstances we are able to measure only with a finite precision. Hence the basic credo of classical physics should be given in the following form: we are justified in imagining a world with variables possessing well defined values which are not known precisely (or not known at all). In doing this we are not forming any conclusions that contradict our everyday experiences. This is the fundamental concept of classical statistics: we are satisfied with the use of probability distributions for the variables we are interested in, not from fundamental but purely practical reasons.

Cambridge University Press eBooksMay 20, 20040 citations

Statistical properties of radiation in phase state

Ravinder Nath

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimentoJun 1, 19792 citations

Relevance of the statistical nature of the radiation to the time evolution of atomic variables

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