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arXiv:1302.6206 · Nature Photonics

Exploiting shot noise correlations in the photodetection of ultrashort optical pulse trains

Franklyn Quinlan, Tara M. Fortier, Haifeng Jiang, Archita Hati, Craig W. Nelson, Yang Fu, Joe Charles Campbell, Scott A. Diddams

Published Mar 8, 2013• 135 citations
arXivHTMLPDF
DOI
10.1038/nphoton.2013.33

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The photodetection of ultrashort optical pulse trains has applications in RF and microwave photonics systems that wish to take advantage of the exceptional frequency and timing precision available from optical sources. Room temperature applications include low phase noise microwave generation and sources for very long baseline interferometry, whereas cryogenic applications include driving quantum-based voltage standards and the drive and readout of superconducting qubits. Both room temperature and cryogenic applications of short pulse detection are reviewed.
Time-domain multiplexed continuous-variable quantum states provide a promising route toward large-scale quantum networks. Existing platforms are based on continuous-wave pumped optical parametric systems, where the durations of temporal modes are on the order of nanoseconds. Here we demonstrate the time-domain multiplexed squeezing localized in a train of ultrashort pulses by exploiting unbalanced SU(1,1) interferometer (USUI) with a mode-locked laser serving as pump. Using the pulse-resolved measurement, we reveal the correlation structure of the state is unique and fundamentally different from previous approaches. To reach the ideal intensity squeezing, in principle, both the gain of USUI and mode number MMM involved in joint measurement should tend to infinity, illustrating the feature of global multimode squeezing. We conduct proof-of-principle experiments, in which the temporal mode duration is down to 10 ps. We verify the intensity squeezing degree RdR_dRd​ depends on both the gain of USUI and MMM. The results show RdR_dRd​ improves with the increase of MMM for M<10M<10M<10 and RdR_dRd​ is lower than shot noise level by ∼0.9\sim0.9∼0.9 dB for M>10M>10M>10 when the gain of USUI is fixed. Our investigations demonstrate the emission from high gain USUI is novel, which not only possesses the unique coherent feature but also enables the realization of ultra-large-scale quantum states.
The detection of squeezed optical fields generated by intracavity nonlinear-optical interactions is described. The relationship between quantum-statistical properties of the cavity mode and those of the field at a detector placed outside the cavity discussed. The detected field is composed of a source field from the cavity plus a free external field. The free field couples weakly to the cavity so that it is correlated with the source field. The photocurrent spectrum in optical homodyne detection is calculated, and the spectrum of squeezing is defined. This spectrum can be calculated entirely in terms of intracavity fields without requiring knowledge of the correlations between source and free-field contributions in the cavity output. This follows from an explicitly normally ordered, time-ordered treatment of the photodetection problem. Contrasting earlier treatments of photodetection for squeezed fields, in a normally ordered approach, shot noise arises naturally from the self-correlation of photocurrent for pulses. The derived spectrum is converted into nonnormally ordered, non-time-ordered form to recover the results of these earlier treatments and their interpretation of shot noise in terms of local-oscillator quantum noise, signal and quantum noise, and detector-efficiency quantum noise.