Abstract

Gardiner¹ treated the problem of the decay of two-level systems in a squeezed vacuum. To a good approximation, he found that the Maxwell-Bloch equations are modified simply by having different inphase and inquadrature relation rates. Resonance fluorescence² and probe absorption have been studied in such a vacuum. We describe nondegenerate four-wave mixing as derived using standard Fourier series methods but with two transverse decay constants. For a highly squeezed vacuum, we find sharp resonances in the probe absorption coefficient and suppression of population pulsation contributions. These resonances are very sensitive to changes in the pump/vacuum relative phase. We average the probe absorption and coupling coefficients over pump spatial holes and solve the coupled mode equations to find the four-wave mixing reflection coefficient. We find that the reflectivity peaks and dips are smaller than in unsqueezed vacuum.

© 1988 Optical Society of America