Theory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons
arXiv:quant-ph/0702070 · doi:10.1103/PhysRevA.75.063802
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.
10 figures
References in corpus (9)
- Polarization squeezing and continuous-variable polarization entanglement
- Quantum Imaging
- Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators
- Two and three-dimensional oscillons in nonlinear Faraday resonance
- Quantum squeezing of optical dissipative structures
- Entangled light in transition through the generation threshold
- Quantum fluctuations and correlations of spatial scalar or multimode vector solitons in Kerr media
- Fluctuations and correlations in hexagonal optical patterns
- Spatial correlations in hexagons generated via a Kerr nonlinearity
Cited by in corpus (15)
- Parametrically driven Kerr cavity solitons
- Non-critically squeezed light via spontaneous rotational symmetry breaking
- Quantum coherent control of highly multipartite continuous-variable entangled states by tailoring parametric interactions
- Soliton complexity in the damped-driven nonlinear Schrödinger equation: stationary, periodic, quasiperiodic complexes
- General linearized theory of quantum fluctuations around arbitrary limit cycles
- Generating highly squeezed Hybrid Laguerre-Gauss modes in large-Fresnel-number Degenerate Optical Parametric Oscillators
- Non-critical squeezing in 2-transverse-mode optical parametric oscillators
- Pattern formation and exotic order in driven-dissipative Bose-Hubbard systems
- Squeezing via spontaneous rotational symmetry breaking in a four-wave mixing cavity
- Dissipative structures in optomechanical cavities
- Noncritical generation of nonclassical frequency combs via spontaneous rotational symmetry breaking
- Noncritical quadrature squeezing through spontaneous polarization symmetry breaking
- Impact of anisotropy on the noncritical squeezing properties of two-transverse-mode optical parametric oscillators
- Spatial localization and pattern formation in discrete optomechanical cavities and arrays
- Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities