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Optics Communications

Quantum correlation between the signal modes in forward three-wave mixing

Yajun Lü, Ling-An Wu, Meijuan Wu, Peilin Zhang, Shiqun Li

Published Dec 1, 1997• 2 citations
Publisher
DOI
10.1016/s0030-4018(97)00466-5

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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.
Quantum fluctuations of the fields for three-wave mixing in photorefractive media with drift nonlinearity and nonlocal response are investigated, using a semiclassical input-output theory. It is shown that quantum correlation and anticorrelation among the three modes will change according to the relative intensity ratio and the direction of energy transfer between the signal and reference modes. The fluctuations in the intensity difference of the two signal modes can be reduced below the corresponding shot-noise level.
Abstract We report the quantum correlated triple beams via cascaded four-wave mixing (CFWM) amplified in single hot atomic vapor. Experimentally, we show that strong quantum correlation of three light beams, among them any two’s quantum correlation is characterized by the maximum value of intensity-difference squeezing (IDS) about −7.8 ± 0.3 dB. We found there is IDS between two idler beams, because two pairs of Einstein–Podolsky–Rosen injections potentially exist in our system. Besides, CFWM can emit three-mode beams at three different frequencies, in which these beams can be well separated in the spatial domain. Moreover, much difference with other methods, the injecting probe field can manipulate the gain and IDS of output three-mode light beams, which is resulting from competition relationship between cascaded two four-wave mixing processes. More interestingly, Autler–Townes splitting of gain peaks of output signals due to dressing effect of pumping fields, will lead to the evolution of measured two- and three-mode IDS from single-mode to multi-mode at frequency domain. This result will provide a multimode quantum resource which can potentially realize multimode entanglement and quantum networks.