dorsal/arxiv
View SchemaSqueezing spectra from s-ordered quasiprobability distributions. Application to dispersive optical bistability
| Authors | Ferran V. Garcia-Ferrer, Isabel Perez-Arjona, German J. de Valcarcel, Eugenio Roldan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407146 |
| URL | https://arxiv.org/abs/quant-ph/0407146 |
| DOI | 10.1080/0950034042000275388 |
| Journal | Journal of Modern Optics 52 (2005) 763-773 |
Abstract
It is well known that the squeezing spectrum of the field exiting a nonlinear cavity can be directly obtained from the fluctuation spectrum of normally ordered products of creation and annihilation operators of the cavity mode. In this article we show that the output field squeezing spectrum can be derived also by combining the fluctuation spectra of any pair of s-ordered products of creation and annihilation operators. The interesting result is that the spectrum obtained in this way from the linearized Langevin equations is exact, and this occurs in spite of the fact that no s-ordered quasiprobability distribution verifies a true Fokker-Planck equation, i.e., the Langevin equations used for deriving the squeezing spectrum are not exact. The (linearized) intracavity squeezing obtained from any s-ordered distribution is also exact. These results are exemplified in the problem of dispersive optical bistability.
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"abstract": "It is well known that the squeezing spectrum of the field exiting a nonlinear\ncavity can be directly obtained from the fluctuation spectrum of normally\nordered products of creation and annihilation operators of the cavity mode. In\nthis article we show that the output field squeezing spectrum can be derived\nalso by combining the fluctuation spectra of any pair of s-ordered products of\ncreation and annihilation operators. The interesting result is that the\nspectrum obtained in this way from the linearized Langevin equations is exact,\nand this occurs in spite of the fact that no s-ordered quasiprobability\ndistribution verifies a true Fokker-Planck equation, i.e., the Langevin\nequations used for deriving the squeezing spectrum are not exact. The\n(linearized) intracavity squeezing obtained from any s-ordered distribution is\nalso exact. These results are exemplified in the problem of dispersive optical\nbistability.",
"arxiv_id": "quant-ph/0407146",
"authors": [
"Ferran V. Garcia-Ferrer",
"Isabel Perez-Arjona",
"German J. de Valcarcel",
"Eugenio Roldan"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/0950034042000275388",
"journal_ref": "Journal of Modern Optics 52 (2005) 763-773",
"title": "Squeezing spectra from s-ordered quasiprobability distributions. Application to dispersive optical bistability",
"url": "https://arxiv.org/abs/quant-ph/0407146"
},
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