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Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus

MPS-Authors
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Gut,  C.
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

Hofer ,  S. G.
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons124270

Hammerer,  K.
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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1912.01635.pdf
(Preprint), 955KB

PhysRevResearch.2.033244.pdf
(Publisher version), 929KB

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Citation

Gut, C., Winkler, K., Hoelscher-Obermaier, J., Hofer, S. G., Nia, R. M., Walk, N., et al. (2020). Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus. Physical Review Research, 2: 033244. doi:10.1103/PhysRevResearch.2.033244.


Cite as: https://hdl.handle.net/21.11116/0000-0007-CDB0-B
Abstract
We provide an argument to infer stationary entanglement between light and a
mechanical oscillator based on continuous measurement of light only. We propose
an experimentally realizable scheme involving an optomechanical cavity driven
by a resonant, continuous-wave field operating in the non-sideband-resolved
regime. This corresponds to the conventional configuration of an optomechanical
position or force sensor. We show analytically that entanglement between the
mechanical oscillator and the output field of the optomechanical cavity can be
inferred from the measurement of squeezing in (generalized)
Einstein-Podolski-Rosen quadratures of suitable temporal modes of the
stationary light field. Squeezing can reach levels of up to 50% of noise
reduction below shot noise in the limit of large quantum cooperativity.
Remarkably, entanglement persists even in the opposite limit of small
cooperativity. Viewing the optomechanical device as a position sensor,
entanglement between mechanics and light is an instance of object-apparatus
entanglement predicted by quantum measurement theory.