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Physical Review A

Quantum-noise reduction in intracavity four-wave mixing

Barry C. Sanders, M. D. Reid

Published Dec 1, 1990• 17 citations
Publisher

Abstract

We present a simple quantum model for intracavity four-wave mixing above threshold. A reduction of quantum noise below the shot-noise level is predicted not only for the intensity difference of the signal and idler beams, but for the signal and idler intensity sum and also for the individual signal and idler intensities. The noise spectrum for the signal and idler phase variables is also calculated.

DOI
10.1103/physreva.42.6767

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Physical Review A•Jun 1, 1990•13 citations
We present a simple quantum model for intracavity four-wave mixing above threshold. A reduction of quantum noise below the shot-noise level is predicted not only for the intensity difference of the signal and idler beams, but for the signal and idler intensity sum and also for the individual signal and idler intensities. The noise spectrum for the signal and idler phase variables is also calculated.
We present an exact nonlinear derivation of the spectrum of fluctuations in the difference of output intensities for the signal and idler beams generated by intracavity two-photon gain, when the cavity decay rates are the same for the two modes, and taking into account the atomic fluctuations. For the field inside the cavity, we show that the variance in the difference of intensities may be up to 50% below the shot-noise value. We also consider the case of different decay rates, and show that the noise in the output-intensity difference vanishes at zero frequency, for single-ported cavities, and as long as the only source of field decay is the transmission through the mirror. Within this general approach, we show that for the two-photon laser there is a strong correlation between signal and idler output beams when the relay-level detuning is larger than the power broadening. We calculate, in lowest order, the correction to the noise spectrum of the difference of intensities due to the population of the relay level.
The authors present a quantum analysis of four-wave mixing in a non-resonant nonlinear medium inside a cavity which is driven by two driving fields. In this process a nonlinear medium couples two pump modes with a signal mode of the frequency equal to the half-sum of the two pump field frequencies. Three types of stable steady-state solutions of the deterministic problem, describing three regimes of oscillation, are found: one below threshold and two different above-threshold regimes. The spectra of fluctuations of the quadrature-phase amplitudes for all three modes are calculated. It is found that in the above-threshold regime each of three modes may display a squeezed noise reduction. Below threshold a squeezing is realized for the central mode.