Quantum Signature of a Squeezed Mechanical Oscillator

Chowdhury, Avishek; Vezio, P.; Bonaldi, M.; Borrielli, A.; Marino, Francesco; Morana, B.; Prodi, G. A.; Sarro, P.M.; Serra, Enrico; Marín, F.

doi:10.1103/physrevlett.124.023601

Cited by 29 publications

(29 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we further investigate this phenomenon, extending the experimental measurements of Ref. [21] and developing a theoretical framework able to explain the observations.…”

Section: Introductionmentioning

confidence: 67%

See 1 more Smart Citation

Quantum motion of a squeezed mechanical oscillator attained via an optomechanical experiment

Vezio¹,

Chowdhury²,

Bonaldi

et al. 2020

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

We experimentally investigate a mechanical squeezed state realized in a parametrically modulated membrane resonator embedded in an optical cavity. We demonstrate that a quantum characteristic of the squeezed dynamics can be revealed and quantified even in a moderately warm oscillator, through the analysis of motional sidebands. We provide a theoretical framework for quantitatively interpreting the observations and present an extended comparison with the experiment. A notable result is that the spectral shape of each motional sideband provides a clear signature of a quantum mechanical squeezed state without the necessity of absolute calibrations, in particular in the regime where residual fluctuations in the squeezed quadrature are reduced below the zero-point level.

show abstract

“…Here we further investigate this phenomenon, extending the experimental measurements of Ref. [21] and developing a theoretical framework able to explain the observations.…”

Section: Introductionmentioning

confidence: 67%

“…In a recent experiment, we realized a squeezed state of a macroscopic mechanical oscillator embedded in an optical cavity [21]. The squeezing is generated via parametric modulation of the oscillator spring constant at twice its resonance frequency [22].…”

Section: Introductionmentioning

confidence: 99%

Quantum motion of a squeezed mechanical oscillator attained via an optomechanical experiment

Vezio¹,

Chowdhury²,

Bonaldi

et al. 2020

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…They have stimulated a new generation of quantum sensors including atomic clocks [9,10] and atom interferometers [11,12], which utilize the so-called spin-squeezed states [13,14] that are capable of surpassing the standard quantum limit [15] given by the number of the atoms involved [16,17]. Such nondestructive measurements also assist in the realization of nonclassical states of macroscopic systems [18,19] which can be used to probe quantum gravity effects [20]. They also help pave the way for searches of new physics beyond the standard model [21,22].…”

Section: Introductionmentioning

confidence: 99%

Method for the differential measurement of phase shifts induced by atoms in an optical ring cavity

et al. 2021

View full text Add to dashboard Cite

We demonstrate a method of light phase shift measurement using a high-finesse optical ring cavity which exhibits reduced phase noise due to cavity length fluctuations. Two laser beams with a frequency difference of one cavity free spectral range are simultaneously resonant with the cavity, demonstrating noise correlations in the error signals due to the common-mode cavity length fluctuations. The differential error signal shows a 30 dB reduction in cavity noise down to the noise floor in a frequency range up to half the cavity linewidth (δν/2 30 kHz). Various noise sources are analyzed and their contributions to the noise floor are evaluated. Additionally, we apply this noise-reduced phase shift measurement scheme in a simulated spin-squeezing experiment where we have achieved a factor of 40 improvement in phase sensitivity with a phase resolution of 0.7 mrad, which may remove one important barrier against attaining highly spin-squeezed states. The demonstrated method provides a flexible situation by using an optical ring cavity and two independent beams. This method can find direct application to nondestructive measurements in quantum systems, such as for the generation of spin-squeezed states in atom interferometers and atomic clocks.

show abstract

“…A crucial obstacle for a more widespread application of these techniques is the explicit time dependence of the driving electromagnetic fields. Dissipative preparation of mechanical states [4,[9][10][11][12][13][18][19][20][21][22][23][24][25] and tomographic backactionevading measurements of mechanical motion [26][27][28][29][30][31][32][33][34] rely on driving the system with multiple fields at different frequencies while parametric squeezing requires modulation of the optical spring [5,[35][36][37]; both of these approaches result in time-dependent optomechanical Hamiltonians. The steady-state Lyapunov equation can then only be applied under the rotating wave approximation (RWA) which neglects fast oscillating terms in the interaction and only keeps those that are resonant.…”

Section: Introductionmentioning

confidence: 99%

Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics

2020

View full text Add to dashboard Cite

Cavity optomechanics and electromechanics form an established field of research investigating the interactions between electromagnetic fields and the motion of quantum mechanical resonators. In many applications, linearised form of the interaction is used, which allows for the system dynamics to be fully described using a Lyapunov equation for the covariance matrix of the Wigner function. This approach, however, is problematic in situations where the Hamiltonian becomes time dependent as is the case for systems driven at multiple frequencies simultaneously. This scenario is highly relevant as it leads to dissipative preparation of mechanical states or backaction-evading measurements of mechanical motion. The time-dependent dynamics can be solved with Floquet techniques whose application is, nevertheless, not straightforward. Here, we describe a general method for combining the Lyapunov approach with Floquet techniques that enables us to transform the initial timedependent problem into a time-independent one, albeit in a larger Hilbert space. We show how the lengthy process of applying the Floquet formalism to the original equations of motion and deriving a Lyapunov equation from their time-independent form can be simplified with the use of properly defined Fourier components of the drift matrix of the original time-dependent system. We then use our formalism to comprehensively analyse dissipative generation of mechanical squeezing beyond the rotating wave approximation. Our method is applicable to various problems with multitone driving schemes in cavity optomechanics, electromechanics, and related disciplines. CONTENTS

show abstract

Quantum Signature of a Squeezed Mechanical Oscillator

Cited by 29 publications

References 39 publications

Quantum motion of a squeezed mechanical oscillator attained via an optomechanical experiment

Quantum motion of a squeezed mechanical oscillator attained via an optomechanical experiment

Method for the differential measurement of phase shifts induced by atoms in an optical ring cavity

Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics

Contact Info

Product

Resources

About