Dynamical Two-Mode Squeezing of Thermal Fluctuations in a Cavity Optomechanical System

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced nano-electromechanical membrane by evidencing the enhancement of a weak phase modulated signal thanks to the addition of phase noise. Based on a general forced Duffing oscillator model, we demonstrate experimentally and theoretically that phase noise acts multiplicatively inducing important physical consequences. These results may open interesting prospects for phase noise metrology or coherent signal transmission applications in nanomechanical oscillators. Moreover, our approach, due to its general character, may apply to various systems.Stochastic resonance whereby a small signal gets amplified resonantly by application of external noise has been introduced originally in paleoclimatology [1,19] to explain the recurrence of ice ages and has then been observed in many other areas including neurobiology [6,16] [3,33,34,42]. Implementation of stochastic resonances involves generally three ingredients : (i) the existence of metastable states separated by an activation energy, as in excitable or bistable nonlinear systems, (ii) a coherent excitation, whose amplitude is however too weak to induce deterministic hopping between the states, and (iii) stochastic processes inducing random jumps over the potential barrier. In the classical picture of a bistable system, this corresponds to the motion of a fictive particle in a double-well potential periodically modulated in amplitude by the signal and subjected to noise [21]. When an optimal level of noise is reached, the system's response power spectrum displays a peak in the signal to noise ratio, unveiling the stochastic resonance phenomenon. The resonance occurs as a 'bona-fide' resonance in a frequency band around a signal frequency approximately given by the time-matching condition [5,22], i.e. when the potential modulation period is twice the mean residence time of the noise-driven particle. Experimental works on stochastic resonance are almost exclusively using amplitude modulation going along with additive amplitude noise or multiplicative amplitude noise [10,20,37,44,45]. In this case, it corresponds to a pure one dimensional effect. Few studies take advantage of a bidimensional phase space by e.g. using phase modulation and/or phase noise (i.e. phase random fluctuations of input signal) [15,23]. Most of them use amplitude noise to demonstrate amplitude stochastic resonance, or introduce noise in the form of the response of a stochastic oscillator [39]. However in the latter scheme, neither the noise nor the modulation are controlled, thus preventing to unveil the specific roles of phase modulation and phase noise in stochastic resonance.In this Letter, stochastic resonance is implemented in a nonlinear nanomechanical oscillator forced close to its resonant frequency. It enables, in a bidimensionnal phase space, the implementation of phase...

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“…Such distortion is reminiscent to thermal noise squeezing observed e.g. in parametrically-driven oscillators [8,36,38,40].…”

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confidence: 90%

Phase Stochastic Resonance in a Forced Nanoelectromechanical Membrane

et al. 2017

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“…1). Note that the use of pulsed techniques [27], and the estimate of time-evolving indicators on iterated measurements [28], are indeed at the forefront of experimental research in opto-mechanics. In this sense, we argue that the class of experiments under preparation are already in the right regime to severely constrain (or in the best scenario confirm) non-local physics at sub-Planckian scales.…”

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confidence: 99%

Testing Quantum Gravity Induced Nonlocality via Optomechanical Quantum Oscillators

et al. 2016

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Several quantum gravity scenarios lead to physics below the Planck scale characterised by nonlocal, Lorentz invariant equations of motion. We show that such non-local effective field theories lead to a modified Schrödinger evolution in the nonrelativistic limit. In particular, the nonlocal evolution of opto-mechanical quantum oscillators is characterised by a spontaneous periodic squeezing that cannot be generated by environmental effects. We discuss constraints on the nonlocality obtained by past experiments, and show how future experiments (already under construction) will either see such effects or otherwise cast severe bounds on the non-locality scale (well beyond the current limits set by the Large Hadron Collider). This paves the way for table top, high precision experiments on massive quantum objects as a promising new avenue for testing some quantum gravity phenomenology.

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“…Here, n θ ¼ n X þ cos 2 θ þ n P þ sin 2 θ, assuming the correlations between X þ and P þ are negligible. Note that other tomographic techniques for two-mode mechanical systems have recently been demonstrated [40][41][42].…”

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confidence: 99%

Quantum Backaction Evading Measurement of Collective Mechanical Modes

Ockeloen-Korppi¹,

Damskägg²,

Pirkkalainen³

et al. 2016

Phys. Rev. Lett.

107

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The standard quantum limit constrains the precision of an oscillator position measurement. It arises from a balance between the imprecision and the quantum back-action of the measurement. However, a measurement of only a single quadrature of the oscillator can evade the back-action and be made with arbitrary precision. Here we demonstrate quantum back-action evading measurements of a collective quadrature of two mechanical oscillators, both coupled to a common microwave cavity. The work allows for quantum state tomography of two mechanical oscillators, and provides a foundation for macroscopic mechanical entanglement and force sensing beyond conventional quantum limits.

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Dynamical Two-Mode Squeezing of Thermal Fluctuations in a Cavity Optomechanical System

Cited by 68 publications

References 49 publications

Phase Stochastic Resonance in a Forced Nanoelectromechanical Membrane

Phase Stochastic Resonance in a Forced Nanoelectromechanical Membrane

Testing Quantum Gravity Induced Nonlocality via Optomechanical Quantum Oscillators

Quantum Backaction Evading Measurement of Collective Mechanical Modes

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