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Optics Letters

Optimization of ultrashort-pulse squeezing by spectral filtering with the Fourier pulse-shaping technique

Masahiro Takeoka, Daisuke Fujishima, Fumihiko Kannari

Published Oct 15, 2001• 15 citations
Publisher

Abstract

We propose an adaptive waveform-control approach to optimize photon-number squeezing by the nonlinear fiber spectral filtering method. More than -8-dB squeezing of the sech envelope pulse is numerically predicted when the spectral phase is modulated before the pulse is sent to a fiber. The quantum cross correlations of the photon-number fluctuation become uniformly negative when the pulse is optimally shaped.

DOI
10.1364/ol.26.001592

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We propose an adaptive waveform-control approach to optimize photon-number squeezing by the nonlinear fiber spectral filtering method. More than -8-dB squeezing of the sech envelope pulse is numerically predicted when the spectral phase is modulated before the pulse is sent to a fiber. The quantum cross correlations of the photon-number fluctuation become uniformly negative when the pulse is optimally shaped.
Summary form only given. Recent experiments have demonstrated more than 50% of photon number squeezing of optical pulses by spectral filtering method in nonlinear optical fibers. For such squeezing quantum correlations between the spectral components of the pulses play a crucial role. The intermode correlations in the squeezed pulses are mainly induced by the second-order dispersion and the third-order nonlinearity (the self-phase modulation (SPM) effect) of fibers. We numerically study the dependence of the initial pulse waveform on spectral filtering squeezing and the optimization of pulses to obtain the further squeezing. Calculations are performed by solving the quantum nonlinear Schrodinger equation (QNLSE) in the positive P representation.
Summary form only given. Quantum entanglement and other related effects with bright squeezed fields have attracted a great interest since it does not need the few quanta system. We propose the novel adaptive system for optimization of the initial pulse waveform to obtain desired intermode quantum structures, and numerically evaluated its feasibilities. We show the experimental setup for the proposed system. The (classically) shaped pulses are propagated through a nonlinear fiber and the quantum state information of these pulses is detected after spectral filtering. The detected information is fed back to the pulse shaper with an optimization algorithm, and thus we can find out the optimum initial waveform. for obtaining the desired quantum structure.
To the best of our knowledge, we demonstrate for the first time the generation of photon number squeezing by spectral filtering for ultrabroadband light generated by microstructure fibers at 800 nm. A maximum squeezing of 4.6 dB is observed, corresponding to 10.3 dB after correcting for detection losses. We numerically analyzed the quantum dynamics of ultrashort laser pulse propagation through optical fibers by solving a nonlinear quantum Schrödinger equation that included Raman scattering, especially for the quantum correlation of photon number fluctuation among frequency modes in broadband pulses.
We discuss the characteristics of photon-number squeezing generated in a spectrally filtered Raman Stokes pulse obtained from a nonlinear fiber. The Raman Stokes pulse generated from a microstructure fiber with a femtosecond input laser pulse exhibits far higher photon-number squeezing. We studied the quantum correlation established among the frequency modes in the Raman Stokes pulse by using numerical calculations and experiments. To design an intra-Stokes pulse quantum correlation through the optical nonlinearities of a fiber to obtain higher photon-number squeezing, we shaped the input laser pulse by using a self-learning closed-loop control approach.