单共振光学器件中的量子噪声抑制
Quantum noise reduction in singly resonant optical devices
摘要：
分析了在谐波模式驱动下，考虑相位失配的单共振倍频模型中的量子噪声。给出了关于不动点及其稳定性的一般公式，以及在不动点附近线性化计算的压缩谱。非线性归一化的使用允许在频谱中将系统的动态响应与各种噪声输入的贡献分开。一个通用的“参考”模型的单模式系统中的动态方面的问题是不受污染的静态贡献从嘈杂的输入。所获得的物理洞察力允许制定一般标准以优化噪声抑制性能。对于基模的压缩，最佳工作点位于由二阶非线性响应级联引起的色散双稳的第一个转折点附近。由常规晶体引起的非线性似乎足以达到它，因为压缩最终受到腔的逃逸效率的限制。在谐波模式的情况下，有限相位失配和/或谐波模式驱动允许系统的最佳动态响应，这在标准相位匹配的二次谐波产生中是不可能的。然后，压缩受到谐波模式中的损耗的限制，由于模式的非共振性质，允许非常高程度的压缩。这开启了使用具有共振增强非线性的人造材料获得非常高性能的可能性。它还示出了它是如何可能的，以大大增加降噪，并在同一时间超过一倍的输出功率的参数对应于报告的实验。
英文摘要：
Quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving in the harmonic mode is analyzed. The general formulae about the fixed points and their stability as well as the squeezing spectra calculated linearizing around such points are given. The use of a nonlinear normalization allows to disentangle in the spectra the dynamic response of the system from the contributions of the various noisy inputs. A general ``reference'' model for one-mode systems is developed in which the dynamic aspects of the problem are not contaminated by static contributions from the noisy inputs. The physical insight gained permits the elaboration of general criteria to optimize the noise suppression performance. With respect to the squeezing in the fundamental mode the optimum working point is located near the first turning point of the dispersive bistability induced by cascading of the second order nonlinear response. The nonlinearities induced by conventional crystals appear enough to reach it being the squeezing ultimately limited by the escape efficiency of the cavity. In the case of the harmonic mode both, finite phase mismatch and/or harmonic mode driving allow for an optimum dynamic response of the system something not possible in the standard phase matched Second Harmonic Generation. The squeezing is then limited by the losses in the harmonic mode, allowing for very high degrees of squeezing because of the non-resonant nature of the mode. This opens the possibility of very high performances using artificial materials with resonantly enhanced nonlinearities. It is also shown how it is possible to substantially increase the noise reduction and at the same time to more than double the output power for parameters corresponding to reported experiments.
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