dorsal/arxiv
View SchemaTheory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons
| Authors | Isabel Perez-Arjona, Eugenio Roldan, German J. de Valcarcel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702070 |
| URL | https://arxiv.org/abs/quant-ph/0702070 |
| DOI | 10.1103/PhysRevA.75.063802 |
| Journal | Physical Review A 75, 063802 (2007) |
Abstract
We present a method for the study of quantum fluctuations of dissipative structures forming in nonlinear optical cavities, which we illustrate in the case of a degenerate, type I optical parametric oscillator. The method consists in (i) taking into account explicitly, through a collective variable description, the drift of the dissipative structure caused by the quantum noise, and (ii) expanding the remaining -internal- fluctuations in the biorthonormal basis associated to the linear operator governing the evolution of fluctuations in the linearized Langevin equations. We obtain general expressions for the squeezing and intensity fluctuations spectra. Then we theoretically study the squeezing properties of a special dissipative structure, namely, the bright cavity soliton. After reviewing our previous result that in the linear approximation there is a perfectly squeezed mode irrespectively of the values of the system parameters, we consider squeezing at the bifurcation points, and the squeezing detection with a plane--wave local oscillator field, taking also into account the effect of the detector size on the level of detectable squeezing.
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"abstract": "We present a method for the study of quantum fluctuations of dissipative\nstructures forming in nonlinear optical cavities, which we illustrate in the\ncase of a degenerate, type I optical parametric oscillator. The method consists\nin (i) taking into account explicitly, through a collective variable\ndescription, the drift of the dissipative structure caused by the quantum\nnoise, and (ii) expanding the remaining -internal- fluctuations in the\nbiorthonormal basis associated to the linear operator governing the evolution\nof fluctuations in the linearized Langevin equations. We obtain general\nexpressions for the squeezing and intensity fluctuations spectra. Then we\ntheoretically study the squeezing properties of a special dissipative\nstructure, namely, the bright cavity soliton. After reviewing our previous\nresult that in the linear approximation there is a perfectly squeezed mode\nirrespectively of the values of the system parameters, we consider squeezing at\nthe bifurcation points, and the squeezing detection with a plane--wave local\noscillator field, taking also into account the effect of the detector size on\nthe level of detectable squeezing.",
"arxiv_id": "quant-ph/0702070",
"authors": [
"Isabel Perez-Arjona",
"Eugenio Roldan",
"German J. de Valcarcel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.063802",
"journal_ref": "Physical Review A 75, 063802 (2007)",
"title": "Theory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons",
"url": "https://arxiv.org/abs/quant-ph/0702070"
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