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arXiv quant-ph/0610106quant-ph
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安静激光器的半经典理论。一:原则

Semi-classical theory of quiet lasers. I: Principles

Jacques Arnaud, Laurent Chusseau, Fabrice Philippe

摘要:

当源自由非波动电流驱动的激光二极管的光入射到光电检测器上时,光电流波动不大。准确地说,这意味着在大的时间间隔上计数的光电子数量的方差比光电子的平均数量小得多。在非零傅立叶频率$Ω$处,光电流功率谱具有$Ω^2/(1+Ω^2)$的形式,因此作为$Ω\to 0$消失,这是与上面给出的结论等价的结论。本文的目的是表明,结果,如一个刚刚引用可能来自(半经典)理论,其中既没有光场,也没有电子波函数量子化。我们首先观察到,几乎任何介质都可以用电路来描述,并区分(可能是非线性的)保守元素,如纯电容和代表原子-场耦合的电导。这个理论建立在非相对论近似的基础上。奈奎斯特噪声源(其中普朗克项$\hbarω/2$被恢复)与正或负电导相关联,并且平均能量守恒定律被强制执行。我们主要考虑二阶相关平稳线性化制度。

英文摘要:

When light originating from a laser diode driven by non-fluctuating electrical currents is incident on a photo-detector, the photo-current does not fluctuate much. Precisely, this means that the variance of the number of photo-electrons counted over a large time interval is much smaller that the average number of photo-electrons. At non-zero Fourier frequency $Ω$ the photo-current power spectrum is of the form $Ω^2/(1+Ω^2)$ and thus vanishes as $Ω\to 0$, a conclusion equivalent to the one given above. The purpose of this paper is to show that results such as the one just cited may be derived from a (semi-classical) theory in which neither the optical field nor the electron wave-function are quantized. We first observe that almost any medium may be described by a circuit and distinguish (possibly non-linear) conservative elements such as pure capacitances, and conductances that represent the atom-field coupling. The theory rests on the non-relativistic approximation. Nyquist noise sources (in which the Planck term $\hbarω/2$ is being restored) are associated with positive or negative conductances, and the law of average-energy conservation is enforced. We consider mainly second-order correlations in stationary linearized regimes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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