Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light

doi:10.1088/1674-1056/26/6/060303

中国物理B ›› 2017, Vol. 26 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/26/6/060303

Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light

Cheng-qian Yi(伊程前), Zhen Yi(伊珍), Wen-ju Gu(谷文举)

Institute of Quantum Optics and Information Photonics, School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China

收稿日期:2016-12-19 修回日期:2017-03-20 出版日期:2017-06-05 发布日期:2017-06-05
通讯作者: Zhen Yi E-mail:yizhen@yangtzeu.edu.cn
基金资助:
Projects supported by the National Natural Science Foundation of China (Grant Nos. 61505014 and 11504031), the Yangtze Youth Talents Fund, and the Yangtze Funds for Youth Teams of Science and Technology Innovation (Grant No. 2015cqt03).

Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light

Cheng-qian Yi(伊程前), Zhen Yi(伊珍), Wen-ju Gu(谷文举)

Institute of Quantum Optics and Information Photonics, School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China

Received:2016-12-19 Revised:2017-03-20 Online:2017-06-05 Published:2017-06-05
Contact: Zhen Yi E-mail:yizhen@yangtzeu.edu.cn
Supported by:
Projects supported by the National Natural Science Foundation of China (Grant Nos. 61505014 and 11504031), the Yangtze Youth Talents Fund, and the Yangtze Funds for Youth Teams of Science and Technology Innovation (Grant No. 2015cqt03).

摘要/Abstract

摘要： Einstein-Podolski-Rosen (EPR) entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50:50 beam-splitter (BS). We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise (CW) and counter-clockwise (CCW) travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50:50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.

关键词: EPR-entangled mechanical state, finite-bandwith squeezed light, squeezing transfer

Abstract: Einstein-Podolski-Rosen (EPR) entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50:50 beam-splitter (BS). We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise (CW) and counter-clockwise (CCW) travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50:50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.

Key words: EPR-entangled mechanical state, finite-bandwith squeezed light, squeezing transfer

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

42.50.Pq (Cavity quantum electrodynamics; micromasers) 42.50.Wk (Mechanical effects of light on material media, microstructures and particles)

伊程前, 伊珍, 谷文举. Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light[J]. 中国物理B, 2017, 26(6): 60303-060303.

Cheng-qian Yi(伊程前), Zhen Yi(伊珍), Wen-ju Gu(谷文举). Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light[J]. Chin. Phys. B, 2017, 26(6): 60303-060303.

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Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light

Generating EPR-entangled mechanical state via feeding finite-bandwidth squeezed light

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