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

Journal of the Optical Society of America B

Nonclassical spatial properties of light propagation in dissipative nonlinear waveguides

Concita Sibilia, V. Schiavone, M. Bertolotti, R. Horák, Jan Peřina

Published Nov 1, 1994• 13 citations
Publisher

Abstract

A quantum description of the spatial behavior of a field that satisfies a spatial nonlinear Schrödinger equation (e.g., a single-mode field in a nonlinear planar waveguide) is studied with the assumption that quantum effects are small. An analytical expression for dissipation in systems governed by the spatial nonlinear Schrödinger equation is presented. Dissipation is found to have detrimental effects on the behavior of quantum phenomena such as quantum noise, squeezing, and bunching. A detecting scheme for the spatial frequency components of the nonclassical properties is also given.

DOI
10.1364/josab.11.002175

Related papers

Nonclassical spatial properties of light propagation in dissipative nonlinear waveguides

Concita Sibilia, V. Schiavone, M. Bertolotti +2 more

The aim of this work is to study how losses modify quantum effects in a system governed by the spatial nonlinear Schrodinger equation. Quantum effects in space, such as quantum noise, squeezing, and bunching, have been studied in a lossless case.1 We will consider the propagation of a field through a planar nonlinear waveguide,2,3 where confinement is provided in one transverse dimension (y direction) by a linear refractive index and in the orthogonal dimension (x direction) by the intensity dependence of the refractive index.1,4 Attenuation is given to the spatial distribution in the x-z plane. In this work we want to extend the dissipation approach described in Ref. 5 to a system governed by the spatiai-nonlinear Sclirodinger equation (SNLS). We use a quantum-field description1 in which the spatial variable of propagation z plays the role of the time in the standard quantum theory, and we apply it to the case of a strong plane wave that can be described as a classical field propagating through a nonlinear waveguide in the z direction.4 By using both paraxial and slowly-varying-envelope approximations, the propagation of the field in a planar waveguide is described by the NLS.1

•May 8, 1994•4 citations

Dissipative effects on squeezed light generated in systems governed by the nonlinear Schrödinger equation

Mary J. Potasek, Bernard Yurke

Dissipation is expected to have detrimental effects on squeezed light. An analytical expression for dissipation in systems governed by the nonlinear Schr\"odinger equation is presented. As an example, parameters for an optical fiber were used to evaluate the squeezed-state spectrum. In addition, a scheme for detecting high-frequency components of the squeezed parameter is given.

Physical Review A•Aug 1, 1988•21 citations

Nonclassical spatial properties of light propagation in a x(2) materials

M. De Angelis

We have studied quantum effects in a system governed by the spatial nonlinear Schrodinger equation derived for a two beams interaction in a quadratic nonlinear material. For a quadratic nonlinear material it has recently been demonstrated [2, 3] that, under suitable conditions, in the interaction between the fundamental and the second harmonic field, the fundamental field propagation can be described as a solution of a nonlinear Schroedinger equation, given in terms of spatial solitons [4,5]. In this work we are interested at the quantum properties of the fundamental beam in this kind of interaction. We use a quantum field description [1] where the spatial variable of propagation z plays the role of time in the standard quantum theory, and we apply it to the case of a strong plane wave that can be described as a classical field propagating through the nonlinear medium in the z-direction. We assume TE polarizations for all the monochromatics fields involved into the interaction in a type I material.

17th Congress of the International Commission for Optics: Optics for Science and New Technology•Sep 1, 1996•0 citations

Non classical effects in planar waveguides

M. Bertolotti, Jaroslav Jánský, Jan Peřina +2 more

The quantum description of light propagation inside a planar waveguide is given. In particular, the description describes the behavior of the field inside a directions coupler. Nonclassical effects are presented and discussed.

•Jan 1, 1993•0 citations

Nonclassical states of light propagating in Kerr media R. Tanas

V.V. Dodonov, V.I. Man'ko

In this chapter we review a number of quantum features of optical fields associated with propagation of intense light through nonlinear, isotropic media. We begin with the classical description of field propagation, introducing the nonlinear polarization of the medium which enters as the source term into the approximate field equations obtained from the Maxwell equations in the slowly varying amplitude approximation. This establishes the classical background for further quantum considerations. Next, we quantize the field and construct the effective Hamiltonian from which we get equations of motion for the quantum fields. We discuss a number of quantum effects such as photon antibunching, squeezing, the formation of Schrodinger cats and kittens, changes in field polarization due to the quantum nature of the field, as well as the quantum description of the field phase. The characteristic feature of quantum evolution — the periodicity — is strongly affected by dissipation. We give exact analytical formulae describing the quantum evolution of the field, including dissipation. We have collected results illustrating various aspects of quantum evolution and we believe that this review, although far from complete, will be a useful source of information on the subject.

CRC Press eBooks•Mar 13, 2003•1 citation

Nonclassical properties of nonlinear light beam interactions

Jan Peřina

We investigate both codirectional and contradirectional nonlinear couplers composed of two nonlinear waveguides operating by second harmonic generation. We take into account possible mismatches inside the waveguides and between them. Quantum statistical characteristics, such as photon number distribution, its factorial moments, quadrature and integrated intensity vari- ances and quadrature uncertainty product can demonstrate effects of transmission of light between waveguides. Incident beams can be assumed to be coherent, squeezed and mixed with external noise. Second harmonic modes are assumed to be pumped with strong coherent beams. Nonclassical behavior of beams generated by the nonlinear waveguides can be transferred between them and controlled by linear and nonlinear mismatches. In the contradirectional regime of propagation asymptotic nonclassical states can be generated.

17th Congress of the International Commission for Optics: Optics for Science and New Technology•Sep 1, 1996•0 citations
A quantum description of the spatial behavior of a field that satisfies a spatial nonlinear Schrödinger equation (e.g., a single-mode field in a nonlinear planar waveguide) is studied with the assumption that quantum effects are small. An analytical expression for dissipation in systems governed by the spatial nonlinear Schrödinger equation is presented. Dissipation is found to have detrimental effects on the behavior of quantum phenomena such as quantum noise, squeezing, and bunching. A detecting scheme for the spatial frequency components of the nonclassical properties is also given.
The aim of this work is to study how losses modify quantum effects in a system governed by the spatial nonlinear Schrodinger equation. Quantum effects in space, such as quantum noise, squeezing, and bunching, have been studied in a lossless case.1 We will consider the propagation of a field through a planar nonlinear waveguide,2,3 where confinement is provided in one transverse dimension (y direction) by a linear refractive index and in the orthogonal dimension (x direction) by the intensity dependence of the refractive index.1,4 Attenuation is given to the spatial distribution in the x-z plane. In this work we want to extend the dissipation approach described in Ref. 5 to a system governed by the spatiai-nonlinear Sclirodinger equation (SNLS). We use a quantum-field description1 in which the spatial variable of propagation z plays the role of the time in the standard quantum theory, and we apply it to the case of a strong plane wave that can be described as a classical field propagating through a nonlinear waveguide in the z direction.4 By using both paraxial and slowly-varying-envelope approximations, the propagation of the field in a planar waveguide is described by the NLS.1
We have studied quantum effects in a system governed by the spatial nonlinear Schrodinger equation derived for a two beams interaction in a quadratic nonlinear material. For a quadratic nonlinear material it has recently been demonstrated [2, 3] that, under suitable conditions, in the interaction between the fundamental and the second harmonic field, the fundamental field propagation can be described as a solution of a nonlinear Schroedinger equation, given in terms of spatial solitons [4,5]. In this work we are interested at the quantum properties of the fundamental beam in this kind of interaction. We use a quantum field description [1] where the spatial variable of propagation z plays the role of time in the standard quantum theory, and we apply it to the case of a strong plane wave that can be described as a classical field propagating through the nonlinear medium in the z-direction. We assume TE polarizations for all the monochromatics fields involved into the interaction in a type I material.
In this chapter we review a number of quantum features of optical fields associated with propagation of intense light through nonlinear, isotropic media. We begin with the classical description of field propagation, introducing the nonlinear polarization of the medium which enters as the source term into the approximate field equations obtained from the Maxwell equations in the slowly varying amplitude approximation. This establishes the classical background for further quantum considerations. Next, we quantize the field and construct the effective Hamiltonian from which we get equations of motion for the quantum fields. We discuss a number of quantum effects such as photon antibunching, squeezing, the formation of Schrodinger cats and kittens, changes in field polarization due to the quantum nature of the field, as well as the quantum description of the field phase. The characteristic feature of quantum evolution — the periodicity — is strongly affected by dissipation. We give exact analytical formulae describing the quantum evolution of the field, including dissipation. We have collected results illustrating various aspects of quantum evolution and we believe that this review, although far from complete, will be a useful source of information on the subject.
We investigate both codirectional and contradirectional nonlinear couplers composed of two nonlinear waveguides operating by second harmonic generation. We take into account possible mismatches inside the waveguides and between them. Quantum statistical characteristics, such as photon number distribution, its factorial moments, quadrature and integrated intensity vari- ances and quadrature uncertainty product can demonstrate effects of transmission of light between waveguides. Incident beams can be assumed to be coherent, squeezed and mixed with external noise. Second harmonic modes are assumed to be pumped with strong coherent beams. Nonclassical behavior of beams generated by the nonlinear waveguides can be transferred between them and controlled by linear and nonlinear mismatches. In the contradirectional regime of propagation asymptotic nonclassical states can be generated.