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Physical Review A

Generation of high-flux hyperentangled photon pairs using a microstructure-fiber Sagnac interferometer

Jun Chen, Jingyun Fan, Matthew D. Eisaman, Alan L. Migdall

Published May 15, 2008• 17 citations
Publisher

Abstract

We demonstrate generation of hyperentangled (time-bin and polarization) photon pairs via four-wave mixing in a microstructure-fiber Sagnac interferometer. The two-photon interference visibility in the time-bin (polarization) degree of freedom is $88%\ifmmode\pm\else\textpm\fi{}2%$ $(84%\ifmmode\pm\else\textpm\fi{}1%)$ without subtraction of accidental coincidences, and Bell's inequality is violated by 27 standard deviations at a $1\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}$ coincidence rate.

DOI
10.1103/physreva.77.053812

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We demonstrate generation of hyperentangled (time-bin and polarization) photon pairs via four-wave mixing in a microstructure-fiber Sagnac interferometer. The two-photon interference visibility in the time-bin (polarization) degree of freedom is 8888%\ifmmode\pm\else\textpm\fi{}2%88 (84(84%\ifmmode\pm\else\textpm\fi{}1%)(84 without subtraction of accidental coincidences, and Bell's inequality is violated by 27 standard deviations at a 1kHz1\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}1kHz coincidence rate.
We describe the generation of entangled and hyperentangled photon pairs using a microstructure-fiber Sagnac interferometer, which is formed by a polarizing beam splitter and a highly nonlinear microstructure fiber twisted by 90° from end to end. This interferometer allows two identical four-wave mixing processes to occur on the same fiber principal axis, ensuring perfect spatial and temporal mode matching of the two four-wave mixing outputs on the polarizing beam splitter to create entanglement over the entire four-wave mixing phase-matching spectral range. With an average pump power of 220 μW, we measure a two-photon coincidence rate of 1 kHz with ▵λ = 0.9 nm. Two-photon interference visibilities exceed 91% for polarization-entangled photon pairs generated from this source, and are > 84% for both time-bin and polarization degrees of freedom for hyperentangled photons, all without subtracting accidental coincidences.
We describe an achromatic, phase-stable, broadband source of polarization-entangled photon pairs with high spectral brightness that uses four-wave mixing in a fiber Sagnac interferometer. We achieved a polarization-entangled two-photon coincidence rate of 7kHz7\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}7kHz per 0.5THz0.5\phantom{\rule{0.3em}{0ex}}\mathrm{THz}0.5THz (0.9nm)(0.9\phantom{\rule{0.3em}{0ex}}\mathrm{nm})(0.9nm) of bandwidth per $300\phantom{\rule{0.3em}{0ex}}\mathrm{\ensuremath{\mu}}\mathrm{W}$ of average pump power. At this rate, we observed two-photon fringe interference visibilities greater than 97%, over a 10THz10\phantom{\rule{0.3em}{0ex}}\mathrm{THz}10THz $(\ensuremath{\approx}21\phantom{\rule{0.3em}{0ex}}\mathrm{nm})$ spectral range. We measured violations of Bell's inequality by more than 22 standard deviations for each of the four Bell states in less than 3minutes3\phantom{\rule{0.3em}{0ex}}\text{minutes}3minutes per state. The high spectral brightness $(26\phantom{\rule{0.3em}{0ex}}\mathrm{kHz}\phantom{\rule{0.2em}{0ex}}{\mathrm{nm}}^{\ensuremath{-}1}\phantom{\rule{0.2em}{0ex}}{\mathrm{mW}}^{\ensuremath{-}1})$, large tunable wavelength range, single spatial mode, and phase stability make this source a promising candidate for a wide range of quantum-information applications.
We report the generation of polarization entangled photon pairs in the 1550-nm wavelength band using spontaneous four-wave mixing in a dispersion-shifted fiber loop. The use of the fiber-loop configuration made it possible to generate polarization entangled states very stably. With accidental coincidences subtracted, we obtained coincidence fringes with >90>90%>90 visibilities, and observed a violation of Bell's inequality by seven standard deviations. We also confirmed the preservation of the quantum correlation between the photons even after they had been separated by 20 km of optical fiber.