dorsal/arxiv
View SchemaSemi-classical theory of quiet lasers. I: Principles
| Authors | Jacques Arnaud, Laurent Chusseau, Fabrice Philippe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610106 |
| URL | https://arxiv.org/abs/quant-ph/0610106 |
Abstract
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 $\Omega$ the photo-current power spectrum is of the form $\Omega^2/(1+\Omega^2)$ and thus vanishes as $\Omega\to 0$, 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 $\hbar\omega/2$ 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.
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"abstract": "When light originating from a laser diode driven by non-fluctuating\nelectrical currents is incident on a photo-detector, the photo-current does not\nfluctuate much. Precisely, this means that the variance of the number of\nphoto-electrons counted over a large time interval is much smaller that the\naverage number of photo-electrons. At non-zero Fourier frequency $\\Omega$ the\nphoto-current power spectrum is of the form $\\Omega^2/(1+\\Omega^2)$ and thus\nvanishes as $\\Omega\\to 0$, a conclusion equivalent to the one given above. The\npurpose of this paper is to show that results such as the one just cited may be\nderived from a (semi-classical) theory in which neither the optical field nor\nthe electron wave-function are quantized. We first observe that almost any\nmedium may be described by a circuit and distinguish (possibly non-linear)\nconservative elements such as pure capacitances, and conductances that\nrepresent the atom-field coupling. The theory rests on the non-relativistic\napproximation. Nyquist noise sources (in which the Planck term $\\hbar\\omega/2$\nis being restored) are associated with positive or negative conductances, and\nthe law of average-energy conservation is enforced. We consider mainly\nsecond-order correlations in stationary linearized regimes.",
"arxiv_id": "quant-ph/0610106",
"authors": [
"Jacques Arnaud",
"Laurent Chusseau",
"Fabrice Philippe"
],
"categories": [
"quant-ph"
],
"title": "Semi-classical theory of quiet lasers. I: Principles",
"url": "https://arxiv.org/abs/quant-ph/0610106"
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