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Europhysics Letters (EPL)

Sub-Poissonian Photoelectron Statistics Produced Using Parametric Down-Conversion with Feedback

Robert G. W. Brown, Eric Jakeman, Edward R. Pike, John Rarity, P. R. Tapster

Published Aug 15, 1986• 15 citations
Publisher

Abstract

Sub-Poissonian photoelectron statistics have been produced by using the detection of down-converted photons in a trigger channel, having an electronic dead time, fed back to gate conjugate photoelectrons in a signal channel. With suitable choice of gate width and dead time a second factorial moment of the photo-electron count distribution as low as 0.4 has been achieved with considerable improvements in signal variance over equivalent Poisson sources. Suitable modification of the apparatus to produce sub-Poissonian photons rather than photoelectrons is described.

DOI
10.1209/0295-5075/2/4/004

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Sub-Poissonian photoelectron statistics have been produced by using the detection of down-converted photons in a trigger channel, having an electronic dead time, fed back to gate conjugate photoelectrons in a signal channel. With suitable choice of gate width and dead time a second factorial moment of the photo-electron count distribution as low as 0.4 has been achieved with considerable improvements in signal variance over equivalent Poisson sources. Suitable modification of the apparatus to produce sub-Poissonian photons rather than photoelectrons is described.
A novel method for generating light with sub-Poissonian photoelectron event statistics is described. The method is based on adding photons into an initially Poisson stream of photons, the number added being greater in intervals when the original Poisson stream contains fewer photons. The number of photons present in the original stream is estimated by counting the photoelectron events produced by a replica stream of photons generated by parametric fluorescence. An expression for the probability distribution function of the number of photons is derived and the Fano factor of the resulting photoelectron events is evaluated numerically.
The use of dead time effects to generate sub-Poissonion photo-electron counting statistics is discussed. An experiment is described in which dead times are introduced using an optical shutter triggered by photo-detection events. Although the triggering photo-electron train is sub-Poissonion and antibunched, the light sampled by a second detector gives rise to a super-Poissonion and bunched train of photo-elecrons. A second experiment is proposed which would generate truly sub-Poisson light (ie detector independent). This is based on the use of optical dead times in parametric fluorescence.
Two novel methods of generating light with sub-Poissonian photon-counting statistics are described. Both methods are based on the use of parametric downconversion to generate two beams with simultaneously produced photons. By detecting the photons in one beam a knowledge of the time sequence of the photons in the other beam is obtained and used to modify the initially Poisson statistics. Expressions for the probability distribution functions of the two methods are derived and Fano factors are evaluated.
Poisson photons may be converted into sub-Poisson (amplitude-squeezed) photons by the action of an electron current configured in an external feedback loop. The generation mechanism involves single-photon transitions so that the source can be made arbitrarily sub-Poissonian. Non-linear optics is not invoked. A useful configuration involves a photon emitter illuminating a detector-source combination in a closed-loop system. Two solid-state implementations of the detector-source combination are suggested.
A great deal of effort has been devoted during the last decade to the theory of nonclassical states of the radiation field. From a practical point of view some of the most interesting predictions of these theories concern the generation of light with sub-Poissonian photon counting statistics for which Such light is evidently less noisy than laser radiation with obvious implications for the improved performance of optical systems. When the temporal autocorrelation function of the photon counts increases as the delay time increases from zero the light is also said to be antibunched.