Pump and Loss Effects on Degenerate Four-Wave Mixing Quantum Statistics
Degenerate four-wave mixing (DFWM) has been identified by Yuen and Shapiro1 as a possible way to generate two-photon coherent state (TCS) light. Their model, although quantum mechanically consistent, quantized only the probe waves; the pump waves and the medium were treated classically. Furthermore, other real effects that sometimes hamper DFWM experiments, such as loss and self focusing, were ignored. Because the key non-classical characteristic of TCS light, its quadrature noise squeezing, is destroyed by excessive loss and fluctuations, it is desirable to include these effects in analyzing a DFWM TCS-generation experiment. In this paper, we extend the model of Yuen and Shapiro to include the effects of pump quantum noise, and loss in the four-wave mixer. The two problems will be treated separately.
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