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Observation of Quantum Correlations Using Feedback

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Book cover Quantum Limits on Measurement and Control of a Mechanical Oscillator

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

Measurements proceed by establishing correlations between a system and a meter. In a quantum description, these correlations are established by quantum fluctuations of the meter exciting the system. We observe such measurement-induced quantum correlations in the interferometric measurement of position.

Correlations have physical reality; that which they correlate does not. And that’s all there is to it, the rest is commentary.

David Mermin

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Notes

  1. 1.

    We have omitted a term proportional to the correlation between the two conjugate quadratures; such a term is strictly zero when the angle fluctuations are uncorrelated with the quadrature fluctuations, which is indeed the typical case.

  2. 2.

    This is only an upper-bound because in practice, thermo-mechanical motion could be transduced into the amplitude quadrature by dissipative optomechanical coupling [24].

  3. 3.

    The effect of laser noise on sideband asymmetry measurements is well-studied for cavity optomechanical systems in the resolved sideband regime [27, 28]. In this case sidebands have been observed separately by scattering them into the cavity with a probe laser red/blue detuned.

  4. 4.

    In addition, it is known that for semiconductor lasers, phase-amplitude correlations are limited to frequencies close to their relaxation oscillation frequency [29, 30]; the latter is typically at a few GHz from the carrier [31, 32]—irrelevant for our experiment.

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Authors and Affiliations

  1. LIGO Laboratory, Massachusetts Institute of Technology, Cambridge, MA, USA

    Vivishek Sudhir

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Correspondence to Vivishek Sudhir .

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Sudhir, V. (2018). Observation of Quantum Correlations Using Feedback. In: Quantum Limits on Measurement and Control of a Mechanical Oscillator. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-69431-3_7

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