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arXiv:2204.12429 · PRX Quantum

Quantum Optical Microphone in the Audio Band

Raphael Nold, Charles Babin, Joel Schmidt, Tobias Linkewitz, María T. Pérez Zaballos, Rainer Stöhr, Roman L. Kolesov, Vadim Vorobyov, Daniil M. Lukin, Rüdiger Boppert, Stefanie Barz, Jelena Vuckovic A, J. Christof M. Gebhardt, Florian Kaiser, Jörg Wrachtrup

Published Jun 17, 2022• 5 citations
arXivHTMLPDF

Abstract

The ability to perform high-precision optical measurements is paramount in science and engineering.Laser interferometry enables interaction-free sensing with a precision ultimately limited by shot noise.Quantum optical sensors can surpass this limit but single-or multiphoton schemes are challenged by low experimental sampling rates, while squeezed-light approaches require complex optical setups and sophisticated time gating.Here, we introduce a simple method that infers optical phase shifts through standard intensity measurements while still maintaining the quantum advantage in the measurement precision.Capitalizing on the robustness and high sampling rates of our device, we implement a quantum optical microphone in the audio band.Its performance is benchmarked against a classical laser microphone in a standardized medically approved speech-recognition test on 45 subjects.We find that quantum-recorded words improve the speech-recognition threshold by -0.57dB SPL , thus making the quantum advantage audible.Not only do these results open the door toward applications in quantum nonlinear interferometry but they also show that quantum phenomena can be experienced by humans.

DOI
10.1103/prxquantum.3.020358

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High precision interferometers are the building blocks of precision metrology and the ultimate interferometric sensitivity is limited by the quantum noise. Here, we propose and experimentally demonstrate a compact quantum interferometer involving two optical parametric amplifiers and the squeezed states generated within the interferometer are directly used for the phase-sensing quantum state. By both squeezing shot noise and amplifying phase-sensing intensity the sensitivity improvement of 4.86±0.24 dB beyond the standard quantum limit is deterministically realized and a minimum detectable phase smaller than that of all present interferometers under the same phase-sensing intensity is achieved. This interferometric system has significantly potential applications in a variety of measurements for tiny variances of physical quantities.
A nonlinear interferometer uses nonlinear elements as beam splitters to split and to recombine optical waves for interference. As a result, the interference fringe size has a nonlinear dependence on the intensity of the field for phase sensing and leads to an enhanced phase signal. In this paper, a practical scheme of nonlinear interferometry for precision phase measurement is analyzed with parametric amplifiers as the nonlinear beam splitters. It is found that the signal due to phase shift is enhanced by a factor of the amplification gain as compared to a linear interferometer with the same phase-sensing light intensity while the quantum noise is kept at the vacuum level, thus, effectively increasing the signal-to-noise ratio (SNR) beyond the standard quantum limit. Furthermore, the scheme is not as sensitive to the detection loss as the linear scheme with a squeezed state for noise reduction. However, losses inside the interferometer limit the enhancement factor in SNR. We apply the concept to a Michelson interferometer but with parametric amplifiers involved for gravitational-wave detection. We find that effective power is increased by the gain of the amplifiers without actually increasing the cycling power inside the interferometer. Furthermore, the full benefits with squeezed input and variational output or the combination of a quantum nondemolition interferometer for sensitivity beyond the standard quantum limit apply here with even better results. Such a nonlinear interferometer will find wide applications in precision measurements.
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