Appearance and Disappearance of Quantum Correlations in Measurement-Based Feedback Control of a Mechanical Oscillator

Sudhir, V.; Wilson, Dalziel J.; Schilling, Ryan; Schütz, Hendrik; Fedorov, Sergey A.; Ghadimi, Amir H.; Nunnenkamp, Andreas; Kippenberg, Tobias J.

doi:10.1103/physrevx.7.011001

Cited by 87 publications

(102 citation statements)

References 54 publications

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“…After these pioneering works in the optical domain several other proposals were introduced to show how with feedback one could simulate the presence of a squeezed environment [4], slow down the destruction of macroscopic coherence [5], and control the environment's thermal fluctuations to cool a mechanical oscillator [6][7][8][9][10]. This last proposal has been implemented in many optomechanical systems [11][12][13][14][15][16][17][18][19][20] and on a trapped ion [21]. Moreover, parametric feedback schemes have been proposed and implemented for cooling and trapping single atoms [22] and trapped nanospheres [23,24].…”

Section: Introductionmentioning

confidence: 99%

Feedback control of two-mode output entanglement and steering in cavity optomechanics

2016

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We show that the closed-loop control obtained by feeding back the derivative of the signal from the homodyne measurement of one mode of the light exiting a two-mode optical cavity interacting with a mechanical resonator permits us to control and increase optical output entanglement. In particular, the proposed feedback-enhanced setup allows us to achieve a fidelity of coherent-state teleportation greater than the threshold value of 2/3 for secure teleportation and two-way steering between the two cavities’ output modes down the line in the presence of loss, which otherwise would not be possible without feedback

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Section: Introductionmentioning

confidence: 99%

Feedback control of two-mode output entanglement and steering in cavity optomechanics

2016

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“…In this thesis, we investigate correlations that arise due to the measurement and its relation to measurement-base feedback [54]. In particular, correlations between the amplitude and phase quadratures of the meter beam can be distilled using measurement-based feedback to suppress classical contamination.…”

Section: Resultsmentioning

confidence: 99%

“…In a second experiment (in Chapter 4), this capability is employed to study the subtle nature of the act of measurement itself [54]. In particular, measurements of a "system" (the mechanical oscillator in our case), by a "meter" (light), extract information by creating correlations between the meter and the system.…”

Section: Position Measurement At the Decoherence Rate: This Thesismentioning

confidence: 99%

“…Ultimately, correlations that arise due to general aspects of linear measurement (similar to the one encountered in the case of the SQL being enforced by fluctuations in the meter in eq. (2.1.21)), conspire to add (subtract) the equivalent of half a phonon of noise power on the upper (lower) sideband in heterodyne detection [54].…”

Section: Origin Of Sideband Asymmetrymentioning

confidence: 99%

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Quantum Limits on Measurement and Control of a Mechanical Oscillator

Sudhir

2018

Springer Theses

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PAR Vivishek SUDHIR JOSEPH CONRAD, Heart of DarknessExperimental physics demands a certain degree of manual dexterity, the patience to tolerate the mundane, and an inexhaustible supply of optimism. Tobias hired me to work on an immensely sophisticated experiment despite any proof of my possessing these qualities; I am indebted to him for the belief he has placed in me. I would also like to acknowledge his dedication to fostering an environment where the pursuit of science is unencumbered by other worldly concerns. Stefan, Ewold and Samuel bore the brunt of a theorist trying to perform delicate experiments; the stern, yet encouraging, stewardship of this trio ensured that I enjoyed the culture shock. Dal Wilson was more than a colleague and a post-doc; his pragmatic approach to physics provided the ideal counter-point in our attempts to forge a deeper understanding of things ranging from vibration isolation to the subtleties of quantum mechanics. Without the patient efforts of Amir, Ryan and Hendrik in designing, fabricating, and testing of devices, none of the results reported here would have been possible. I hope I have been able to bequeath a better vision of the future of our experiment to Sergey. Conversations with Alexey, Daniel and Nathan have enabled me to vicariously learn how to measure microwave "photons". John Jost once taught me how to decorate a Christmas tree; since then he has imparted some wisdom on frequency metrology, and some on atomic physics. Together with Dal, Victor and Caroline have probably spent the most time with me outside the lab; it was fun to exercise an air of social normalcy with this bunch. Christophe has been an amazing sparring partner on every subject capable of being brought under scientific scrutiny.The personal space required for the pursuit of science comes through the sacrifice of many people. My family back home in India -parents, sister, grand-parents -have had to patiently wait for the brief interludes when I go home. No words can do justice to this and the very many other pleasures they have surrendered over the years for my sake. Before physics attracted me, I was charmed by someone else; I am lucky to have married her. Long time friends, mentorsAjith and Subeesh -have played pivotal roles in my being able to engage in physics; I hope to repay this enormous debt, some day.It was a privilege to have learnt from a few great teachers during my formative years. Their vision of an indelible unity in nature continues to motivate my study of physics. vii AbstractThe precision measurement of position has a long-standing tradition in physics. Cavendish's verification of the universal law of gravitation using a torsion pendulum, Perrin's confirmation of the atomic hypothesis via the precise measurement of the Brownian motion, and, the verification of the mechanical effect of electromagnetic radiation, all belong to this classical heritage. Quantum mechanics posits that the measurement of position results in an uncertain momentum; an idea developed to full maturity within the ...

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“…Heterodyne PSDs are θ-independent but yield two, rather than one, sidebands near ω +ω M . Although S Ω het (ω) = S Ω het (−ω) the sidebands are not symmetric about ω = Ω in quantum regimes, where such Stokes/anti-Stokes sideband asymmetry also represents a valuable quantum signature [12,18].…”

Section: Fig 1: (A)mentioning

confidence: 99%

Imaging Correlations in Heterodyne Spectra for Quantum Displacement Sensing

et al. 2018

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The extraordinary sensitivity of the output field of an optical cavity to small quantum-scale displacements has led to breakthroughs such as the first detection of gravitational waves and of the motions of quantum ground-state cooled mechanical oscillators. While heterodyne detection of the output optical field of an optomechanical system exhibits asymmetries which provide a key signature that the mechanical oscillator has attained the quantum regime, important quantum correlations are lost. In turn, homodyning can detect quantum squeezing in an optical quadrature, but loses the important sideband asymmetries. Here we introduce and experimentally demonstrate a new technique, subjecting the autocorrelators of the output current to filter functions, which restores the lost heterodyne correlations (whether classical or quantum), drastically augmenting the useful information accessible. The filtering even adjusts for moderate errors in the locking phase of the local oscillator. Hence we demonstrate single-shot measurement of hundreds of different field quadratures allowing rapid imaging of detailed features from a simple heterodyne trace. We also obtain a spectrum of hybrid homodyne-heterodyne character, with motional sidebands of combined amplitudes comparable to homodyne. Although investigated here in a thermal regime, the method's robustness and generality represents a promising new approach to sensing of quantum-scale displacements.Homodyne and heterodyne detection represent "twinpillars" of quantum displacement sensing using the output field of an optical cavity, having permitted major breakthroughs including detection of gravitational waves [1,2]. Earlier versions of LIGO employed a radiofrequency (RF) heterodyne detection system, but this was later replaced by a homodyne scheme [2]. The broader field of quantum cavity optomechanics has also exposed a rich seam of interesting phenomena arising from the coupling between the mode of a cavity and a small mechanical oscillator [3][4][5] and of the motion of quantum ground-state cooled mechanical oscillators.Several groups have successfully cooled a mechanical oscillator [6][7][8] down to mean phonon occupancy n ∼ 1 or under, close to its quantum ground state. Read-out of the temperature was achieved by detection of motional sidebands in the cavity output by homodyne or heterodyne methods.Heterodyne (but not homodyne) detection exposes mechanical sideband asymmetries [9][10][11] which are the hallmark of the quantum regime [10,11]: the observations mirror an underlying asymmetry in the motional spectrum since an oscillator in its ground state n = 0, can absorb a phonon and down-convert the photon frearXiv:1708.03294v2 [quant-ph]

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Appearance and Disappearance of Quantum Correlations in Measurement-Based Feedback Control of a Mechanical Oscillator

Cited by 87 publications

References 54 publications

Feedback control of two-mode output entanglement and steering in cavity optomechanics

Feedback control of two-mode output entanglement and steering in cavity optomechanics

Quantum Limits on Measurement and Control of a Mechanical Oscillator

Imaging Correlations in Heterodyne Spectra for Quantum Displacement Sensing

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