Alessandro Farsi edited section_Experimental_results_We_configure__.tex  almost 8 years ago

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We measure the second order correlation of the output state to verify the preservation of the quantum statistic on the translated output.  Fig. 7. \label{fig:vs_power} Conversion efficiency  Fig. 7. \label{fig:vs_power} Conversion efficiency  To verify that the frequency translation indeed preserve the quantum statistic on the translated output, we measure the second order time correlation $g^{(2)}(\tau)$ of the output state.  We inject the output single photon  field into a 50/50 fiber beamsplitter, and record detection rates A(t) and B(t) , B(t),  and coincidence rate C(τ) from the two coupler outputs. Normalization of the g(2)(τ)=C(τ)/N(τ) $g^{(2)}(τ)=C(τ)/N(τ)  is obtained from the discrete cross-correlation of the singles N(τ)=A(t) ∗ B(t) . Error bars are extracted from statistical error on the count events. To remove the dark counts contribution to the measurement, we observe that the contribution of the events, and  dark counts to the coincidence count is (with the assumption of uncorrelated noise where and event are retained.  We compare the g(2) (τ) measurements of the single photon traversing the setup,with pump  either on the signal field with pumps  off or on. Even if the fields are not selected, because of the large conversion efficiency, we are measuring respectively at λs and λi : we observe an input (i.e. converted) g(2)(0)= 0.19. Though this value is below 0.5, on  the non classical boundary for single photons, it is limited by idler field with  the presence of generated photons at that, unheralded, create a background noise. Upon frequency translation, pump on, synchronized with  the correlation takes heralding signal. For  the value of g(2)(0)= 0.23, showing a slight increase but still well within the quantum regime. Next, former  we select obtain $g^{(2)}(0) = 0.03$, and for  the idler field with an unchanged $g^{(2)}(0) = 0.03$. Technical noise do not affect  the free space filter and repeat photon statistics, on  the measurement, shown contrary, frequency translation provides an increase  infigure 8: fitting  the raw data with a Gaussian factor, we measure g(2)(0)= 0.2(1) (the losses introduced by the filtering reduced the SNR). When we correct for dark counts, we obtain g(2)(0)= 0.02(2). Because g(2)(0) has a bounded value, we utilize Bayes statistics signal to noise ratio due  to estimate reduce unheralded background noise at  the uncertainty. idler frequency.  Fig. 8. g(2) (τ) measurement of filtered idler: g (2) (0)= 0.2(1) . When we correct for dark counts, we obtain g (2) (0)= 0.02(2).  5. Conclusions We demonstrated a FWM-BS configuration capable of achieving, for the first time, high efficiency, low-loss and low-noise frequency translation. This high performance setup, operating within the standard telecommunication bands, can be easily replicated to provide a toolbox and test-bed for different manipulations of the temporal and spectral properties of single-photons and weak-coherent states