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Quantum Electronics and Laser Science Conference

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

Kazuaki Sakoda

Published May 12, 2000• 0 citations
OpenAlex

Abstract

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.

Related papers

Enhancement of quadrature-phase squeezing in photonic crystals

Kazuaki Sakoda

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.

Journal of the Optical Society of America B•Sep 1, 2002•14 citations

Enhanced light amplification due to group-velocity anomaly in two-dimensional photonic crystals

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Summary form only given. Photonic crystals can control the nature of radiation field. In addition to their peculiar optical properties such as suppression of spontaneous emission due to photonic band gaps, the small group velocity at band edges, which will be called group-velocity anomaly, brings about the enhancement of sum-frequency generation and stimulated emission. In this paper, we will derive an analytical expression for the enhancement of light amplification and evaluate it numerically for two-dimensional crystals with finite thickness to show that an extremely large enhancement can be observed even for very thin samples.

Quantum Electronics and Laser Science Conference•Jan 20, 2003•0 citations

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Summary form only given. Photonic crystals can control the nature of radiation field. In addition to their peculiar optical properties such as suppression of spontaneous emission due to photonic band gaps, the small group velocity at band edges and so on, which will be called group-velocity anomaly hereafter, brings about the enhancement of sum-frequency generation and stimulated emission. In this paper, we will derive an analytical expression for the enhancement of light amplification and evaluate it numerically for two-dimensional crystals with finite thickness to show that an extremely large enhancement can be observed even for very thin samples.

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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.

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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
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.
Summary form only given. Photonic crystals can control the nature of radiation field. In addition to their peculiar optical properties such as suppression of spontaneous emission due to photonic band gaps, the small group velocity at band edges, which will be called group-velocity anomaly, brings about the enhancement of sum-frequency generation and stimulated emission. In this paper, we will derive an analytical expression for the enhancement of light amplification and evaluate it numerically for two-dimensional crystals with finite thickness to show that an extremely large enhancement can be observed even for very thin samples.
Summary form only given. Photonic crystals can control the nature of radiation field. In addition to their peculiar optical properties such as suppression of spontaneous emission due to photonic band gaps, the small group velocity at band edges and so on, which will be called group-velocity anomaly hereafter, brings about the enhancement of sum-frequency generation and stimulated emission. In this paper, we will derive an analytical expression for the enhancement of light amplification and evaluate it numerically for two-dimensional crystals with finite thickness to show that an extremely large enhancement can be observed even for very thin samples.
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.