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Numerical investigation of the quantum fluctuations of optical fields transmitted through an atomic medium

机译:通过原子介质传输的光场的量子涨落的数值研究

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摘要

We have numerically solved the Heisenberg-Langevin equations describing the propagation of quantized fields through an optically thick sample of atoms. Two orthogonal polarization components are considered for the field, and the complete Zeeman sublevel structure of the atomic transition is taken into account. Quantum fluctuations of atomic operators are included through appropriate Langevin forces. We have considered an incident field in a linearly polarized coherent state (driving field) and vacuum in the perpendicular polarization and calculated the noise spectra of the amplitude and phase quadratures of the output field for two orthogonal polarizations. We analyze different configurations depending on the total angular momentum of the ground and excited atomic states. We examine the generation of squeezing for the driving-field polarization component and vacuum squeezing of the orthogonal polarization. Entanglement of orthogonally polarized modes is predicted. Noise spectral features specific to (Zeeman) multilevel configurations are identified.
机译:我们已经用数值方法求解了海森堡-朗文方程,该方程描述了量子场通过光学上较厚的原子样本的传播。该场考虑了两个正交极化分量,并考虑了原子跃迁的完整塞曼子级结构。原子算子的量子涨落通过适当的兰文芬力包括在内。我们考虑了线性极化相干态的入射场(驱动场)和垂直极化的真空,并针对两个正交极化计算了输出场的振幅和相位正交的噪声谱。我们根据基态和激发原子态的总角动量来分析不同的配置。我们研究了驱动场极化分量的压缩和正交极化的真空压缩的产生。预测正交极化模的纠缠。确定(Zeeman)多级配置特有的噪声频谱特征。

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