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Journal of Modern Optics

Intensity noise reduction of twin beams by a passive semiconductor medium

Carlos R. de Carvalho

Published Oct 1, 1999• 0 citations
Publisher

Abstract

A passive optical system is proposed to explore the intensity quantum correlation of two twin beams to reduce the photon noise of one of them. It consists of using a semiconductor medium inside an optical cavity, which behaves as a nonlinear medium presenting a crossed Kerr effect. The intensity fluctuations of one beam modify the resonance condition of the cavity for the other beam and therefore its intensity. The medium is described microscopically within the two-level atom model. It is shown that, under typical experimental conditions, this system may produce noise reduction.

DOI
10.1080/09500349908231368

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A passive optical system is proposed to explore the intensity quantum correlation of two twin beams to reduce the photon noise of one of them. It consists of using a semiconductor medium inside an optical cavity, which behaves as a nonlinear medium presenting a crossed Kerr effect. The intensity fluctuations of one beam modify the resonance condition of the cavity for the other beam and therefore its intensity. The medium is described microscopically within the two-level atom model. It is shown that, under typical experimental conditions, this system may produce noise reduction.
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 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.
When a light beam interacts with Kerr medium inside an optical cavity, its quantum fluctuations are squeezed.1 One can show that perfect squeezing can be obtained close to the turning points of the bistability curve. In order to implement such a scheme, one needs perfect Kerr media (with no losses, infinite frequency bandwidth and no excess noise) that are not available to date.2 We study here a new kind of Kerr medium, in which the nonlinearity has a mechanical origin: if a mirror is free to move, the radiation pressure will induce a coupling between its position and the intensity of the light beam, thus modifying the optical path in an intensity-dependent way.
The low-frequency intensity noise of high-quantum-efficiency lasers or light-emitting diodes (LED's) is dominated by the pump noise. By coupling two or more semiconductor lasers (or LED's) in series with a current source, the pump noise of the two lasers will be equal, and the intensity noise of the lasers will be highly correlated. It is shown that one may generate sub-Poissonian light by measuring the intensity fluctuations of one of the beams and feeding back (or forward) the information to regulate the other photon beam. The generation scheme is shown to have much in common with intensity-correlated twin beam generation from nondegenerate optical parametric oscillators.
Quantum-intensity-correlated twin beams of light can be used to measure absorption with precision beyond the classical shot-noise limit. The degree to which this can be achieved with a given estimator is defined by the quality of the twin-beam intensity correlations, which is quantified by the noise reduction factor. We derive an analytical model of twin-beam experiments, incorporating experimental parameters such as the relative detection efficiency of the beams, uncorrelated optical noise, and uncorrelated detector noise. We show that for twin beams without excessive noise, measured correlations can be improved by increasing the detection efficiency of each beam; notwithstanding, this may unbalance detection efficiency. However, for beams with excess intensity or other experimental noise, one should balance detection efficiency, even at the cost of reducing detection efficiency—we specifically define these noise conditions and verify our results with statistical simulation. This has application in design and optimization of absorption spectroscopy and imaging experiments.
The interaction of doubly resonant second harmonic generation and nondegenerate down-conversion in a cavity is shown to generate light with excellent noise suppression in two symmetrical dips moving away from zero frequency with increasing pump strength. This feature emerges not only in the amplitude noise of fundamental and second harmonic, but also in the single beam and the sum intensity fluctuation spectra of the twin beams produced by down-conversion, which makes this system a potentially useful source for quantum cryptography or optical quantum correlation experiments.