Back-action evasion and squeezing of a mechanical resonator using a cavity detector

By A. Clerk, Florian Marquardt, Kurt Jacobs. 2008

269 citations recorded by the source corpus.

We study the quantum measurement of a cantilever using a parametrically coupled electromagnetic cavity which is driven at the two sidebands corresponding to the mechanical motion. This scheme, originally due to Braginsky et al (Braginsky V, Vorontsov Y I and Thorne K P 1980 Science 209 547), allows a back-action free measurement of one quadrature of the cantilever's motion, and hence the possibility of generating a squeezed state. We present a complete quantum theory of this system, and derive simple conditions on when the quantum limit on the added noise can be surpassed. We also study the conditional dynamics of the measurement, and discuss how such a scheme (when coupled with feedback) can be used to generate and detect squeezed states of the oscillator. Our results are relevant to experiments in optomechanics, and to experiments in quantum electromechanics employing stripline resonators coupled to mechanical resonators.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/82f4690785c9e5e256c1cf9063a2af3d98a8e44a

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Introduction to quantum noise, measurement, and amplification (2008, background): “…setup was first proposed as a means of back-action evasion in Braginsky et al. (1980); further discussion can be found in Braginsky and Khalili (1992); Caves et al. (1980), as well as in Clerk et al. (2008), which gives a fully quantum treatment and considers conditional aspects of the measurement.”
Quantum feedback: theory, experiments, and applications (2014, methodology): “rmation the state is not squeezed. But since a linear feedback force can be used to stabilize the means, we can use feedback from the QND measurement to produce an unconditional squeezed steady-state [197, 229]. The second method to produce squeezed states in the presence of signiﬁcant thermal or ot”
Back-action-evading measurements of nanomechanical motion (2009, methodology): “The proper coupling to the time-dependent observable can be achieved by using a ‘slow’ detector that responds only to signals of frequency L2 ω m , and by carefully modulating the coupling to position (refs&nbs”