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Springer eBooks

Properties and Description of Light

Published Nov 6, 2007• 0 citations
Publisher
DOI
10.1007/978-3-540-45158-7_2

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Abstract This chapter starts from the classical optics description of a light field and its spectral densities, their measurement, and their interpretation, and discusses how these aspects are related to the quantum properties of a single light mode. It reviews ways to measure these quantum properties. Emphasis is placed on Gaussian states of a light mode, i.e. states for which the Wigner function has a two-dimensional Gaussian shape. The discussion continues with a description of more than one mode, and a unifying approach to quadratic Hamiltonians is presented, including phase conjugation, which is related to time reversal.
Although light quanta were known since the works by Planck and Einstein, for several decades after these works, there was no need to treat light quantum mechanically, and all experiments could be well explained using the quantum description of matter and classical description of light (the semiclassical approach). The situation changed with the development of sources of so-called nonclassical light, i.e., light whose properties cannot be understood in the framework of the semiclassical approach. Two simple examples can be given here. The first one is the suppression of shot noise in optical detectors. Shot noise, i.e., fluctuations of photocurrent scaling as the square root of the photocurrent mean value, can be, in principle, attributed to the discrete nature of the charge generated by the detector. At the same time, the effect of shot-noise suppression, which is observed with certain light sources (squeezed light) is clearly related to the statistics of light, and quantum mechanics is completely necessary for its description. Another example, which brings us closer to the subject of the present paper, is two-photon light. This type of light contains only pairs of photons (often called biphotons), and hence, a pair of properly aligned photon-counting detectors registering two-photon light, in an ideal case, will produce only simultaneous photocounts. This behavior, again, can only be explained in terms of a quantum-mechanical description for the light.
A review of current research trends in the control and measurement of the statistical properties of light is given. This review is limited to squeezing, sub-Poisson light, and methods for measuring properties of the resulting stabilized light. Basic descriptions of the statistical properties of light, electronic noise, and behavior are given. The results are used to illustrate how the unique properties of these optical sources and detection techniques may be used to improve the precision of the analytical measurement.