Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Nonlinear Guided Waves and Their Applications

Transverse distribution of quantum fluctuations and correlations in a spatial soliton

Claude Fabre, Nicolas Treps

Published Jan 1, 2001• 0 citations
Publisher

Abstract

We study the spatial distribution of quantum fluctuations in spatial solitons and show that the quantum noise reduction is “focused” in the center of the soliton, and that strong quantum correlations develop between different areas.
DOI
10.1364/nlgw.2001.ma6

Related papers

Transverse distribution of quantum fluctuations and correlations in spatial solitons

Nicolas Treps, Claude Fabre

We give in this paper a general method by which to determine the transverse spatial distribution of quantum fluctuations in a light beam as it propagates through a nonlinear medium. We apply this method to the particular case of spatial solitons that propagate without distortion in ${\ensuremath{\chi}}^{(2)}$ or ${\ensuremath{\chi}}^{(3)}$ materials. We find, for example, that in the ${\ensuremath{\chi}}^{(2)}$ case the central part of the soliton has lower intensity quantum fluctuations than its outer part, and that in most cases strong correlations develop among the field quadrature components measured in different areas of the transverse plane.

Physical Review A•Aug 17, 2000•18 citations

Transverse distribution of quantum fluctuations and correlations in a spatial soliton

Nicolas Treps, Claude Fabre

Summary form only given. The quantum properties of the interaction between an electromagnetic field and a nonlinear media have been widely studied, theoretically and experimentally, but so far these studies concerned mainly measurements performed on the total intensity of light beams, integrated over all the transverse plane. However, the details of the noise distribution inside the transverse plane, as well as the spatial quantum correlation between two different points, can be also very instructive, on a fundamental side in order to understand the propagation of the quantum noise, but also on a practical side to generate special configurations of the field which allow us to increase the spatial resolution of measurements in the transverse plane. We study here the spatial properties of the quantum fluctuations for a field freely propagating in a thick nonlinear medium, and in a case where the interaction distance is not limited by the diffraction : the spatial soliton regime, where diffraction effects are counterbalanced by nonlinearity and which exists in /spl chi//sup (2)/ and /spl chi//sup (3)/ media.

Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations

Time dependence of quantum fluctuations in solitons

P. D. Drummond, S. J. Carter, Robert M. Shelby

We investigate quantum fluctuations in coherent solitons propagating in a dispersive nonlinear waveguide. Optimal squeezing or noise reduction occurs for a local oscillator width near the soliton width in time, i.e., the quantum fluctuations are localized.

Optics Letters•Apr 1, 1989•44 citations

Quantum-Limited and Coupled Noise of Cavity Solitons

Y. Sun, Sofya Glazyrina, Thomas Bunel +3 more

We analyze fundamental noise of intensity, center-frequency, timing, and global-phase of coherently driven cavity solitons, and reveal how different noise channels couple and mutually contribute to the total fluctuations.

•Jan 1, 2026•0 citations

Quantum Noise Limits On Spatial Soliton Propagation

Elna M. Nagasako, Robert W. Boyd, G. S. Agarwal

It is well known that through amplification, quantum noise can grow to affect the propagation characteristics of temporal solitons.1 We discuss an analogous effect in spatial soliton propagation, where vacuum fluctuations are amplified by four-wave mixing and can grow to change the propagation characteristics of spatial solitons.

Quantum Electronics and Laser Science Conference•Jan 1, 1997•0 citations

Quantum fluctuations and correlations of spatial scalar or multimode vector solitons in Kerr media

Éric Lantz, Thibaut Sylvestre, H. Maillotte +2 more

We apply the Green function method to determine the global degree of squeezing and the transverse spatial distribution of quantum fluctuations of solitons in Kerr media. We show that both scalar bright solitons and multimode vector solitons experience strong squeezing on the optimal quadrature. For vector solitons, this squeezing is shown to result from an almost perfect anti-correlation between the fluctuations in the two incoherently coupled circular polarizations.

arXiv:quant-ph/0311088•Journal of Optics B Quantum and Semiclassical Optics•May 1, 2004•17 citations
We give in this paper a general method by which to determine the transverse spatial distribution of quantum fluctuations in a light beam as it propagates through a nonlinear medium. We apply this method to the particular case of spatial solitons that propagate without distortion in ${\ensuremath{\chi}}^{(2)}$ or ${\ensuremath{\chi}}^{(3)}$ materials. We find, for example, that in the ${\ensuremath{\chi}}^{(2)}$ case the central part of the soliton has lower intensity quantum fluctuations than its outer part, and that in most cases strong correlations develop among the field quadrature components measured in different areas of the transverse plane.
Summary form only given. The quantum properties of the interaction between an electromagnetic field and a nonlinear media have been widely studied, theoretically and experimentally, but so far these studies concerned mainly measurements performed on the total intensity of light beams, integrated over all the transverse plane. However, the details of the noise distribution inside the transverse plane, as well as the spatial quantum correlation between two different points, can be also very instructive, on a fundamental side in order to understand the propagation of the quantum noise, but also on a practical side to generate special configurations of the field which allow us to increase the spatial resolution of measurements in the transverse plane. We study here the spatial properties of the quantum fluctuations for a field freely propagating in a thick nonlinear medium, and in a case where the interaction distance is not limited by the diffraction : the spatial soliton regime, where diffraction effects are counterbalanced by nonlinearity and which exists in /spl chi//sup (2)/ and /spl chi//sup (3)/ media.