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CRC Press eBooks

Quantum Noise Reduction on Twin Laser Beams

E. Giacobino, Claude Fabre, Serge Reynaud, A. Heidmann, R. J. Horowicz

Published Aug 12, 2020• 0 citations
Publisher

Abstract

This chapter provides a review of both theoretical and experimental results that are obtained on the Non-Degenerate Optical Parametric Oscillator above threshold operation. In particular it is shown that most of oscillator's characteristics can be understood from the fact that the non-linear crystal emits highly correlated twin photons. The chapter studies the correlation properties between the intensities of the corresponding twin fields. It provides a simple treatment in terms of “corpuscular” photons and gives a proof of the corpuscular model in a fully quantum manner. The chapter provides a classical representation of the fields but in which vacuum fluctuations are properly accounted. This “classical” approach yields the noise spectra of the various measurable quantities in the general case. The chapter presents observation of quantum noise reduction on the difference between the intensities of the two twin beams. It deals with new possible applications of the twin photons to spectroscopy and to the generation of amplitude squeezed laser beams.

DOI
10.1201/9781003069539-6

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In recent years, several experiments have established the optical parametric oscillator (OPO) as a practical source of highly correlated twin beams. These beams have an intensity difference noise substantially below the associated shot noise, for noise frequencies within the OPO cavity bandwidth. They present the additional feature of being laserlike and intense, making them convenient for experimental applications. Refinements on our OPO characteristics and photodiode efficiencies have yielded a reduction of the noise power in the intensity difference of 86% below the shot noise level.1 A first use of twin beams is the production of a single light beam having an intensity squeezed noise. This can be achieved by monitoring the intensity of one beam with a photodiode and using this information to control the intensity fluctuations of the second beam with an electrooptic modulator.2 Other applications to high sensitivity spectroscopic measurements such as linear and nonlinear absorption or dispersion can now be considered for practical use.

Annual Meeting Optical Society of America•Jan 1, 1991•0 citations
This chapter provides a review of both theoretical and experimental results that are obtained on the Non-Degenerate Optical Parametric Oscillator above threshold operation. In particular it is shown that most of oscillator's characteristics can be understood from the fact that the non-linear crystal emits highly correlated twin photons. The chapter studies the correlation properties between the intensities of the corresponding twin fields. It provides a simple treatment in terms of “corpuscular” photons and gives a proof of the corpuscular model in a fully quantum manner. The chapter provides a classical representation of the fields but in which vacuum fluctuations are properly accounted. This “classical” approach yields the noise spectra of the various measurable quantities in the general case. The chapter presents observation of quantum noise reduction on the difference between the intensities of the two twin beams. It deals with new possible applications of the twin photons to spectroscopy and to the generation of amplitude squeezed laser beams.
The signal and idler beams from a non-degenerate, above threshold, optical parametric oscillator have a strong quantum correlation, which are called twin beams. This correlation arises from the simultaneous generation of the signal and idler photons in the form of twin pairs of photons through the parametric down conversion, and the generated twin beams have exactly the same photon statistics. As a result, the fluctuations on the difference between the intensities of the twin beams are reduced with respect to the shot noise limit, that is, intensity-difference squeezing. We give a comprehensive overview of the generation of twin beams using the optical parametric oscillator, and the applications exploiting the quantum correlation of twin beams are presented.
It has been recently shown theoretically1 and experimentally2 that nondegenerate optical parametric oscillators generate above threshold intense and highly correlated twin beams. More precisely, the noise on the difference between the intensities of the two beams is well below the shot noise for noise frequencies inside the cavity bandwidth. An application of this quantum correlation is to measure the intensity of one beam and use this information to correct the fluctuations of the other beam by optoelectronic means (photodiode, amplifier, and electrooptic modulator). The correction may be applied either on the pumping beam (feedback correction) or directly on the twin beam itself (feed-forward correction).
We investigate experimentally the number and phase quantum noises of the light emitted by an ultrastable nondegenerate optical parametric oscillator (OPO) above threshold. Strong intensity correlations at the photon level -- number-difference squeezing or twin beams -- have already been observed by several groups. We have recently observed the twin-beam interference of a classically phase-locked OPO and have shown that the phase-difference is antisqueezed, as expected from the number-phase Heisenberg (in)equality. In this paper we describe the realization of a stable classical measurement of the joint quadratures of an OPO, as part of our ongoing effort to generate ultrastable EPR light beams simultaneously squeezed in number difference and phase sum.
We present two experiment that demonstrate intensity noise reduction in light below the standard quantum noise level. A first experiment establishes a reduction of 86 % in the intensity difference noise spectrum of twin beams generated by an Optical Parametric Oscillator. The second experiment exploits this intensity correlation between the twin beams and uses one beam to electro-optically control the other, generating a single beam whose intensity noise is reduced 24 % below the shot noise level. General theories are presented for both processes using a semi-classical input-output formalism. Control configurations are examined where the noise reduction is effected directly from one beam to the other (feedforward), or indirectly through the pump beam (feedback). We determine the maximum amount of noise reduction that may be obtained from active control and detail for these configurations the limitations imposed by constraints of causality and stability. Finally, we demonstrate the equivalence of the semi-classical model with a "corpuscular" photon model in the small fluctuation limit, which we substantiate using Monte-Carlo simulation.
In recent years, several experiments have established the optical parametric oscillator (OPO) as a practical source of highly correlated twin beams. These beams have an intensity difference noise substantially below the associated shot noise, for noise frequencies within the OPO cavity bandwidth. They present the additional feature of being laserlike and intense, making them convenient for experimental applications. Refinements on our OPO characteristics and photodiode efficiencies have yielded a reduction of the noise power in the intensity difference of 86% below the shot noise level.1 A first use of twin beams is the production of a single light beam having an intensity squeezed noise. This can be achieved by monitoring the intensity of one beam with a photodiode and using this information to control the intensity fluctuations of the second beam with an electrooptic modulator.2 Other applications to high sensitivity spectroscopic measurements such as linear and nonlinear absorption or dispersion can now be considered for practical use.