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

Enhancement of quadrature-phase squeezing in photonic crystals

Kazuaki Sakoda

Published Sep 1, 2002• 14 citations
Publisher

Abstract

Quadrature-phase squeezing by optical parametric amplification in an arbitrary photonic crystal was studied by use of a perturbation theory based on a Green function formalism. It is shown that the perturbative calculation can be performed to an infinite order. The result shows that quadrature-phase squeezing is enhanced by small group velocities of electromagnetic eigenmodes that are easily achieved in two- and three-dimensional photonic crystals.

DOI
10.1364/josab.19.002060

Related papers

Enhanced quadrature-phase squeezing due to group-velocity anomaly in photonic crystals

Kazuaki Sakoda

Summary form only given. In photonic crystals with spatially periodic dielectric constants, a variety of novel optical and quantum optical phenomena are expected to be realized. One of their peculiar features is the presence of those electromagnetic eigenmodes with extremely small group velocities (group-velocity anomaly) that leads to the enhancement of various optical processes. The phase-matching condition is relaxed in photonic crystals compared with uniform materials. Therefore nonlinear optics of the photonic crystals is a promising field for future experimental studies. In this paper, we believe we will report the first theoretical prediction of the enhancement of quadrature-phase squeezing due to optical parametric amplification by means of a perturbation theory based on a Green's function formalism.

Quantum Electronics and Laser Science Conference•May 12, 2000•0 citations

Squeezed state generation in photonic crystal microcavities

Mohamad G. Banaee, Jeff F. Young

The feasibility of using a parametric down-conversion process to generate squeezed electromagnetic states in three dimensional photonic crystal microcavity structures is investigated for the first time. The spectrum of the squeezed light is theoretically calculated by using an open cavity quantum mechanical formalism. The cavity communicates with two main channels, which model vertical radiation losses and coupling into a single-mode waveguide respectively. The amount of squeezing is determined by the correlation functions relating the field quadratures of light coupled into the waveguide. All of the relevant model parameters are realistically estimated for structures made in Al0.3Ga0.7As, using finite-difference time-domain simulations. Squeezing up to approximately 30% below the shot noise level is predicted for 10 mW average power, 80 MHz repetition, 500 ps excitation pulses using in a [111] oriented wafer.

Optics Express•Dec 3, 2008•13 citations

Enhanced light amplification due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals

Kazuaki Sakoda

An analytical expression was derived for light amplification by stimulated emission in arbitrary photonic crystals, which showed and enhancement due to small group velocity. This enhancement was evaluated quantitatively for a two-dimensional crystal with a finite thickness, and an extremely large enhancement due to group-velocity anomaly peculiar to two- and three-dimensional crystals was found even for quite a thin crystal.

Optics Express•Mar 1, 1999•184 citations

Enhanced quadratic nonlinearity with parametric amplifications

Wen-ju Gu, Zhen Yi, Lihui Sun +1 more

Realization of quantum nonlinearity in quadratic optomechanics, including optical and mechanical nonlinearity at the single-photon level, is crucial to explore extraordinary quantum features. Here we investigate an exponential enhancement of quadratic optomechanical interaction via parametric amplifications. The parametric process can form an in-phase amplified quadrature, and the rate of coupling to the in-phase quadrature will be exponentially increased even to the single-photon strong-coupling regime. Concretely, to achieve the optical nonlinearity mediated by the quadratic optomechanical interaction, we can employ a mechanical parametric process, and the in-phase mechanical quadrature can strongly couple to the cavity mode, leading to an enhanced optical nonlinearity such as a photon blockade. Similarly, via employing the optical parametric process, the in-phase optical quadrature can also effectively mediate the quadratic interaction, leading to an enhanced mechanical nonlinearity such as mechanical squeezing, bi-excitation exchange interaction and feasibility of quantum non-demolition detection of mechanical motion. However, the parametric process can also enlarge the noise, and a squeezing vacuum with the phase matching condition should be introduced to suppress the same.

Journal of the Optical Society of America B•Mar 1, 2018•4 citations

Parametric Amplification and Squeezing in Quasi-Phase-Matched Waveguides

Matthew E. Anderson, M. Beck, Michael G. Raymer +1 more

Nonlinear optical waveguides hold promise as parametric amplifiers and as sources of quadrature-squeezed light. The confinement of the pump field drastically increases the efficiency of the nonlinear conversion. In addition, the control of the spatial mode profiles by the waveguide geometry should diminish the effect of gain-induced diffraction, which has been seen to limit the amount of attainable squeezing in bulk parametric crystals.1 Using subpicosecond laser pulses, we have observed parametric gain as well as quadrature squeezing in a quasi-phase matched KTP waveguide.

Nonlinear Guided Waves and Their Applications•Jan 1, 1995•0 citations

The enhancement of stimulated emission near a photonic band edge

Xingsheng Xu, Bingying Cheng, Daozhong Zhang

We have derived an analytical expression for light amplification for stimulated emission in arbitrary two-dimensional photonic crystals (PHCs) using the response formula of the PHCs and the Bloch equations. This shows that the gain is proportional to the population inversion, and is inversely proportional to the group velocity and the relaxation coefficient of the phase, which indicates that the gain can be induced by population inversion and enhanced dramatically by small group velocity or anomalous group velocity.

Journal of Physics Condensed Matter•Oct 24, 2003•3 citations
Quadrature-phase squeezing by optical parametric amplification in an arbitrary photonic crystal was studied by use of a perturbation theory based on a Green function formalism. It is shown that the perturbative calculation can be performed to an infinite order. The result shows that quadrature-phase squeezing is enhanced by small group velocities of electromagnetic eigenmodes that are easily achieved in two- and three-dimensional photonic crystals.
Summary form only given. In photonic crystals with spatially periodic dielectric constants, a variety of novel optical and quantum optical phenomena are expected to be realized. One of their peculiar features is the presence of those electromagnetic eigenmodes with extremely small group velocities (group-velocity anomaly) that leads to the enhancement of various optical processes. The phase-matching condition is relaxed in photonic crystals compared with uniform materials. Therefore nonlinear optics of the photonic crystals is a promising field for future experimental studies. In this paper, we believe we will report the first theoretical prediction of the enhancement of quadrature-phase squeezing due to optical parametric amplification by means of a perturbation theory based on a Green's function formalism.
The feasibility of using a parametric down-conversion process to generate squeezed electromagnetic states in three dimensional photonic crystal microcavity structures is investigated for the first time. The spectrum of the squeezed light is theoretically calculated by using an open cavity quantum mechanical formalism. The cavity communicates with two main channels, which model vertical radiation losses and coupling into a single-mode waveguide respectively. The amount of squeezing is determined by the correlation functions relating the field quadratures of light coupled into the waveguide. All of the relevant model parameters are realistically estimated for structures made in Al0.3Ga0.7As, using finite-difference time-domain simulations. Squeezing up to approximately 30% below the shot noise level is predicted for 10 mW average power, 80 MHz repetition, 500 ps excitation pulses using in a [111] oriented wafer.
Realization of quantum nonlinearity in quadratic optomechanics, including optical and mechanical nonlinearity at the single-photon level, is crucial to explore extraordinary quantum features. Here we investigate an exponential enhancement of quadratic optomechanical interaction via parametric amplifications. The parametric process can form an in-phase amplified quadrature, and the rate of coupling to the in-phase quadrature will be exponentially increased even to the single-photon strong-coupling regime. Concretely, to achieve the optical nonlinearity mediated by the quadratic optomechanical interaction, we can employ a mechanical parametric process, and the in-phase mechanical quadrature can strongly couple to the cavity mode, leading to an enhanced optical nonlinearity such as a photon blockade. Similarly, via employing the optical parametric process, the in-phase optical quadrature can also effectively mediate the quadratic interaction, leading to an enhanced mechanical nonlinearity such as mechanical squeezing, bi-excitation exchange interaction and feasibility of quantum non-demolition detection of mechanical motion. However, the parametric process can also enlarge the noise, and a squeezing vacuum with the phase matching condition should be introduced to suppress the same.
Nonlinear optical waveguides hold promise as parametric amplifiers and as sources of quadrature-squeezed light. The confinement of the pump field drastically increases the efficiency of the nonlinear conversion. In addition, the control of the spatial mode profiles by the waveguide geometry should diminish the effect of gain-induced diffraction, which has been seen to limit the amount of attainable squeezing in bulk parametric crystals.1 Using subpicosecond laser pulses, we have observed parametric gain as well as quadrature squeezing in a quasi-phase matched KTP waveguide.
We have derived an analytical expression for light amplification for stimulated emission in arbitrary two-dimensional photonic crystals (PHCs) using the response formula of the PHCs and the Bloch equations. This shows that the gain is proportional to the population inversion, and is inversely proportional to the group velocity and the relaxation coefficient of the phase, which indicates that the gain can be induced by population inversion and enhanced dramatically by small group velocity or anomalous group velocity.