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Measurement of audio signal plays a significant role in many applications, such as gravitational wave detection, bio-particle imaging and magnetometer. In this paper, low-frequency squeezed light is generated by a non-degenerate optical parametric amplifier. In order to avoid the effect of injected light on low-frequency squeezing, an auxiliary laser is used to lock the length of non-degenerate optical parametric amplifier and a method of locking quantum noise is employed to lock the phase between the local light and the squeezed light. By isolating the vibration noises at low-frequency and reducing back action of parasitic interference, the squeezing of (7.1±0.1) dB takes place at 19 kHz. Then the squeezed light is injected into the Mach-Zehnder interferometer to measure an audio signal which drives a piezoelectric transducer to generate a small phase variation between two arms of Mach-Zehnder interferometer. According to the low-frequency squeezing, we realize experimentally the measurement of phase signal at audio frequency which exceeds the shot-noise limit of (3.0±0.4) dB. The experiment provides technical supports for the generation of low-frequency squeezed light and the measurement of audio signal. Furthermore it can be extended to other quantum measurements, such as high-precision magnetometer and measurement of small-displacement.
[1] Giovannetti V, Lloyd S, Maccone L 2011 Nat. Photon. 5 222
[2] Giovannetti V, Lloyd S, Maccone L 2006 Phys. Rev. Lett. 96 010401
[3] Vahlbruch H, Mehmet M, Danzmann K, Schnable R 2016 Phys. Rev. Lett. 117 110801
[4] Sun H X, Liu K, Zhang J X, Gao J R 2015 Acta Phys. Sin. 64 234210 (in Chinese) [孙恒信, 刘奎, 张俊香, 郜江瑞 2015 物理学报 64 234210]
[5] Sun H X, Liu Z L, Liu K, Yang R G, Zhang J X, Gao J R 2014 Chin. Phys. Lett. 31 084202
[6] Horrom T, Singh R, Dowling J P, Mikhailov E E 2012 Phys. Rev. A 86 023803
[7] Stefszky M S, Mow-Lowry C M, Chua S S Y, Shaddock D A, Buchler B C, Vahlbruch H, Khalaidovski A, Schnable R, Lam P K, McClelland D E 2012 Class. Quant. Gray. 29 145015
[8] McKenize K, Grosser N, Bowen W P, Whitcomb S E, Gray M B, McClelland D E, Lam P K 2004 Phys. Rev. Lett. 93 161105
[9] Vahlbruch H, Chelkowski S, Danzmann K, Schnabel R 2007 New J. Phys. 9 371
[10] Liu C J, Jing J T, Zhou Z F, Pooser R C, Hudelist F, Zhou L, Zhang W P 2011 Opt. Lett. 36 2979
[11] Qin Z Z, Jing J T, Zhou J, Liu C J, Pooser R C, Zhou Z F, Zhang W P 2012 Opt. Lett. 37 3141
[12] Liu Z J, Zhai Z H, Sun H X, Gao J R 2016 Acta Phys. Sin. 65 060401 (in Chinese) [刘增俊, 翟泽辉, 孙恒信, 郜江瑞 2016 物理学报 65 060401]
[13] Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Hachor H A, Bowen W P 2013 Nat. Photon. 7 229
[14] Abbott B P, et al. (LIGO Scientific Collaboration and Virgo Collaboration) 2016 Phys. Rev. Lett. 116 061102
[15] Bachor H A, Ralph T C 2004 A Guide to Experiment in Quantum Optics (2nd Ed.) (Berlin: Wiley-Vch) pp115-119
[16] Barnett S M, Fabre C, Maitre A 2003 Eur. Phys. J. D 22 513
[17] Black E D 2001 Am. J. Phys. 69 79
[18] Ou Z Y, Pereira S F, Kimble H J 1992 Phys. Rev. Lett. 68 3663
[19] Ma Y Y, Feng J X, Sun Z N, Wan Z J, Zhang K S 2016 J. Quant. Opt. 22 1 (in Chinese) [马亚云, 冯晋霞, 孙志妮, 万振菊, 张宽收 2016 量子光学学报 22 1]
[20] Zhang Y, Su H, Xie C D, Peng K C 1999 Phys. Lett. A 259 171
[21] Li X Y, Jing J T, Zhang J, Pan Q, Xie C D, Peng K C 2002 Acta Phys. Sin. 51 966 (in Chinese) [李小英, 荆杰泰, 张靖, 潘庆, 谢常德, 彭堃墀 2002 物理学报 51 966]
[22] Yang S R, Li Y M, Zhang S J, Zhang K S 2006 Acta Sin. Quant. Opt. 2 92 (in Chinese) [杨树荣, 李永民, 张苏净, 张宽收 2006 量子光学学报 2 92]
[23] Zhang Y, Yu X D, Di K, Li W, Zhang J 2013 Acta Phys. Sin. 62 084204 (in Chinese) [张岩, 于旭东, 邸克, 李卫, 张靖 2013 物理学报 62 084204]
[24] Kirk M K, Eugeniy E M, Keisuke G, Ping K L, Nicolai G, Malcolm B G, Nergis M, David E M 2005 J. Opt. B 7 421
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[1] Giovannetti V, Lloyd S, Maccone L 2011 Nat. Photon. 5 222
[2] Giovannetti V, Lloyd S, Maccone L 2006 Phys. Rev. Lett. 96 010401
[3] Vahlbruch H, Mehmet M, Danzmann K, Schnable R 2016 Phys. Rev. Lett. 117 110801
[4] Sun H X, Liu K, Zhang J X, Gao J R 2015 Acta Phys. Sin. 64 234210 (in Chinese) [孙恒信, 刘奎, 张俊香, 郜江瑞 2015 物理学报 64 234210]
[5] Sun H X, Liu Z L, Liu K, Yang R G, Zhang J X, Gao J R 2014 Chin. Phys. Lett. 31 084202
[6] Horrom T, Singh R, Dowling J P, Mikhailov E E 2012 Phys. Rev. A 86 023803
[7] Stefszky M S, Mow-Lowry C M, Chua S S Y, Shaddock D A, Buchler B C, Vahlbruch H, Khalaidovski A, Schnable R, Lam P K, McClelland D E 2012 Class. Quant. Gray. 29 145015
[8] McKenize K, Grosser N, Bowen W P, Whitcomb S E, Gray M B, McClelland D E, Lam P K 2004 Phys. Rev. Lett. 93 161105
[9] Vahlbruch H, Chelkowski S, Danzmann K, Schnabel R 2007 New J. Phys. 9 371
[10] Liu C J, Jing J T, Zhou Z F, Pooser R C, Hudelist F, Zhou L, Zhang W P 2011 Opt. Lett. 36 2979
[11] Qin Z Z, Jing J T, Zhou J, Liu C J, Pooser R C, Zhou Z F, Zhang W P 2012 Opt. Lett. 37 3141
[12] Liu Z J, Zhai Z H, Sun H X, Gao J R 2016 Acta Phys. Sin. 65 060401 (in Chinese) [刘增俊, 翟泽辉, 孙恒信, 郜江瑞 2016 物理学报 65 060401]
[13] Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Hachor H A, Bowen W P 2013 Nat. Photon. 7 229
[14] Abbott B P, et al. (LIGO Scientific Collaboration and Virgo Collaboration) 2016 Phys. Rev. Lett. 116 061102
[15] Bachor H A, Ralph T C 2004 A Guide to Experiment in Quantum Optics (2nd Ed.) (Berlin: Wiley-Vch) pp115-119
[16] Barnett S M, Fabre C, Maitre A 2003 Eur. Phys. J. D 22 513
[17] Black E D 2001 Am. J. Phys. 69 79
[18] Ou Z Y, Pereira S F, Kimble H J 1992 Phys. Rev. Lett. 68 3663
[19] Ma Y Y, Feng J X, Sun Z N, Wan Z J, Zhang K S 2016 J. Quant. Opt. 22 1 (in Chinese) [马亚云, 冯晋霞, 孙志妮, 万振菊, 张宽收 2016 量子光学学报 22 1]
[20] Zhang Y, Su H, Xie C D, Peng K C 1999 Phys. Lett. A 259 171
[21] Li X Y, Jing J T, Zhang J, Pan Q, Xie C D, Peng K C 2002 Acta Phys. Sin. 51 966 (in Chinese) [李小英, 荆杰泰, 张靖, 潘庆, 谢常德, 彭堃墀 2002 物理学报 51 966]
[22] Yang S R, Li Y M, Zhang S J, Zhang K S 2006 Acta Sin. Quant. Opt. 2 92 (in Chinese) [杨树荣, 李永民, 张苏净, 张宽收 2006 量子光学学报 2 92]
[23] Zhang Y, Yu X D, Di K, Li W, Zhang J 2013 Acta Phys. Sin. 62 084204 (in Chinese) [张岩, 于旭东, 邸克, 李卫, 张靖 2013 物理学报 62 084204]
[24] Kirk M K, Eugeniy E M, Keisuke G, Ping K L, Nicolai G, Malcolm B G, Nergis M, David E M 2005 J. Opt. B 7 421
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