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Acta Physica Sinica

QUANTUM CORRELATION IN FORWARD THREE-WAVE MIXING

Lv YA-JUN, Ling-An Wu, Meijuan Wu, Shiqun Li, Zhang Peilin, (1)清华大学现代应用物理系，北京 100084; (2)中国科学院物理研究所，北京 100080

Published Jan 1, 1998• 0 citations
Publisher

Abstract

We study the quantum correlation between the signal and pump modes in forward three-wave mixing in media with an intensity-dependent index of refraction, by adopting the semiclassical and the full-quantum theories. Strong positive correlation exists between the two signal modes, but there is strong anti-correlation between the signal modes and the pump. In the semiclassical model, the phase mismatched cases are investigated. In the full-quantum analysis, the effects of the pump quantization and losses are considered.

DOI
10.7498/aps.47.1110

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We study the quantum correlation between the signal and pump modes in forward three-wave mixing in media with an intensity-dependent index of refraction, by adopting the semiclassical and the full-quantum theories. Strong positive correlation exists between the two signal modes, but there is strong anti-correlation between the signal modes and the pump. In the semiclassical model, the phase mismatched cases are investigated. In the full-quantum analysis, the effects of the pump quantization and losses are considered.
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We consider a vectorial Kerr-medium model including transverse spatial effects. We analyze cases in which, immediately above the threshold of the spatial instability, the homogeneous pump wave gives rise to two tilted waves corresponding to a stripe pattern in the near field. We analyze both the self-focusing and the self-defocusing case and we point out the existence of anti-correlations between the quantum fluctuations of the intensity of the pump and the sum of the intensities of the two tilted waves creating the transverse pattern in the near field. We also evaluate the efficiency of this scheme as a quantum nondemolition (QND) scheme which uses the tilted waves as a ``meter'' to measure the intensity fluctuations of the pump. Our results show the posibility of a QND measurement in the self-defocusing case. In this case, and for a linearly polarized pump, the output pump beam (uniform in the transverse plane) and the pattern have orthogonal polarization and could be easily separated experimentally.