TY - JOUR

T1 - Stationary optomechanical entanglement between a mechanical oscillator and its measurement apparatus

AU - Gut, C.

AU - Winkler, K.

AU - Hoelscher-Obermaier, J.

AU - Hofer, S. G.

AU - Nia, R. Moghadas

AU - Walk, N.

AU - Steffens, A.

AU - Eisert, J.

AU - Wieczorek, W.

AU - Slater, J. A.

AU - Aspelmeyer, M.

AU - Hammerer, K.

N1 - The authors are very thankful to Claus Gärtner and Marek Gluza for important discussions and inputs in the course of this project. C.G. acknowledges support from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant No. 722923 (OMT). N.W. acknowledges funding support from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant No. 750905. J.E. acknowledges support by the DFG (CRC183, FOR 2724) and the FQXi. M.A. acknowledges support by the European Research Council (ERC QLev4G). This project was supported by the doctoral school CoQuS (Project No. W1210). K.H. acknowledges support through DFG through CRC 1227 DQ-mat Project No. A06 and Germany's Excellence Strategy – EXC-2123 QuantumFrontiers – 390837967.

PY - 2020/8/12

Y1 - 2020/8/12

N2 - 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.

AB - 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.

KW - quant-ph

KW - cond-mat.mes-hall

UR - http://www.scopus.com/inward/record.url?scp=85098615668&partnerID=8YFLogxK

U2 - 10.1103/physrevresearch.2.033244

DO - 10.1103/physrevresearch.2.033244

M3 - Article

VL - 2

JO - Phys. Rev. Research

JF - Phys. Rev. Research

IS - 3

M1 - 033244

ER -