Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus

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...

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Main Authors: C. Gut, K. Winkler, J. Hoelscher-Obermaier, S. G. Hofer, R. Moghadas Nia, N. Walk, A. Steffens, J. Eisert, W. Wieczorek, J. A. Slater, M. Aspelmeyer, K. Hammerer
Format: Article
Language:English
Published: American Physical Society 2020-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033244
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author C. Gut
K. Winkler
J. Hoelscher-Obermaier
S. G. Hofer
R. Moghadas Nia
N. Walk
A. Steffens
J. Eisert
W. Wieczorek
J. A. Slater
M. Aspelmeyer
K. Hammerer
author_facet C. Gut
K. Winkler
J. Hoelscher-Obermaier
S. G. Hofer
R. Moghadas Nia
N. Walk
A. Steffens
J. Eisert
W. Wieczorek
J. A. Slater
M. Aspelmeyer
K. Hammerer
author_sort C. Gut
collection DOAJ
description 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.
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spelling doaj.art-38d82dee8cef4f9ba88d4929268108242024-04-12T16:58:49ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303324410.1103/PhysRevResearch.2.033244Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatusC. GutK. WinklerJ. Hoelscher-ObermaierS. G. HoferR. Moghadas NiaN. WalkA. SteffensJ. EisertW. WieczorekJ. A. SlaterM. AspelmeyerK. HammererWe 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.http://doi.org/10.1103/PhysRevResearch.2.033244
spellingShingle C. Gut
K. Winkler
J. Hoelscher-Obermaier
S. G. Hofer
R. Moghadas Nia
N. Walk
A. Steffens
J. Eisert
W. Wieczorek
J. A. Slater
M. Aspelmeyer
K. Hammerer
Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
Physical Review Research
title Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
title_full Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
title_fullStr Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
title_full_unstemmed Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
title_short Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
title_sort stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus
url http://doi.org/10.1103/PhysRevResearch.2.033244
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