宽频带压缩态光场光学参量腔的设计

王俊萍; 张文慧; 李瑞鑫; 田龙; 王雅君; 郑耀辉

doi:10.7498/aps.69.20200890

摘要

压缩态光场是量子光学研究中的一种重要量子资源. 在量子信息应用中, 压缩态光场的频谱带宽是限制信息传输容量的重要指标. 目前, 光学参量振荡器是产生强压缩度非经典光场最有效的方法之一. 本文通过分析输出耦合镜透射率、线宽、阈值功率对简并光学参量振荡器频谱带宽的影响, 实验完成了低阈值(18 mW)、宽频带(84.2 MHz)、高稳定(锁定基线标准偏差为0.32 MHz)量子压缩器的设计. 结果表明, 相比单共振光学参量振荡器, 双共振腔型具有低阈值、高稳定的特点, 更适合于宽频带压缩态光场的制备与实际应用.

关键词:

Abstract

The field of squeezed state is an important quantum resource in the study of quantum optics. In the application of quantum information, the spectrum bandwidth of the squeezed light field is an important index to limit the information transmission capacity. Currently, the optical parametric oscillator (OPO) is one of the most efficient ways to generate high squeezed non-classical optical fields. In this paper, the degenerate singly-resonant and doubly-resonant OPO structures are introduced. Both OPOs are composed of concave mirrors and periodically poled potassium titanyl phosphate crystals (PPKTP). The length of PPKTP crystal is 10 mm. The curvature radius of the curved surface is 12 mm, and it has high reflectivity at 1550 nm and 775 nm. The plane surface is coated with anti-reflection coating. The air gap length is 21 mm. The concave mirror is an output coupling mirror, and its radius of curvature is 25 mm. In the singly-resonant OPO, only the signal light resonates in the cavity, and the pump light passes through the nonlinear crystal twice and then outputs out of the cavity. The reflectivity of OPO output coupling mirror to the wavelength of 1550 nm is 88%. The linewidth of the corresponding fundamental frequency wave is 77.4 MHz. For doubly-resonant OPO, both the signal light and the pump light resonate simultaneously in the cavity. The reflectivity of OPO output coupling mirror to 1550 nm and 775 nm is 85% and 97.5%, respectively. The linewidth of the corresponding fundamental frequency wave and harmonic is 97.1 MHz and 15.6 MHz, respectively. Then the threshold of OPO is calculated. The threshold pump power of OPO increases with signal light transmittance increasing, but the threshold value of doubly-resonant OPO is obviously smaller than that of singly-resonant OPO. After that, the variation of the squeezing bandwidth of the squeezed light field generated by OPO with the transmittance of the signal is analyzed. Finally, we complete the design of quantum squeezer with low threshold (18 mW), broadband (84.2 MHz) and high stability (the standard deviation of locking baseline is 0.32 MHz) experimentally. The results show that compared with the singly-resonant optical parametric oscillator, the doubly-resonant cavity has the characteristics of low threshold and high stability, which is more suitable for the preparation and practical application of broadband squeezed light field.

Keywords:

作者及机构信息

1.
山西大学光电研究所, 量子光学与光量子器件国家重点实验室, 太原　030006

2.
山西大学, 极端光学协同创新中心, 太原　030006

通信作者: 王雅君, wangyajun_166@163.com

基金项目: 国家自然科学基金(批准号: 62027821, 11654002, 11874250, 11804207)、国家重点研发计划(批准号: 2016YFA0301401)、山西省三晋学者特聘教授项目、山西省重点研发计划(批准号: 201903D111001)、山西省“1331”重点建设学科和山西省高等学校中青年拔尖创新人才计划资助的课题

Authors and contacts

1.
State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China

2.
Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

Corresponding author: Wang Ya-Jun, wangyajun_166@163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 62027821, 11654002, 11874250, 11804207), the National Key Research and Development Program of China (Grant No. 2016YFA0301401), the Program for Sanjin Scholar of Shanxi Province, the Key Research and Development (R&D) Projects of Shanxi Province, China (Grant No. 201903D111001), the Shanxi “1331 Project”, China, and the Program for Outstanding Innovative Teams of Higher Learning Institutions of Shanxi, China

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参考文献

[1]	Grote H, Danzmann K, Dooley K L, Schnabel R, Slutsky J, Vahlbruch H 2013 Phys. Rev. Lett. 110 181101 Google Scholar
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[15]	Zhang Z S, Tengner M, Zhong T, Wong F N C, Shapiro J H 2013 Phys. Rev. Lett. 111 010501 Google Scholar
[16]	Yang W H, Shi S P, Wang Y J, Ma W G, Zheng Y H, Peng K C 2017 Opt. Lett. 42 4553 Google Scholar
[17]	Rihan A, Andrieux E, Zanon-Willette T, Briaudeau S, Himbert M, Zondy J J 2011 Appl. Phys. B 102 367
[18]	Vahlbruch H, Mehmet M, Danzmann K, Schnabel R 2016 Phys. Rev. Lett. 117 110801 Google Scholar
[19]	Zhang W H, Wang J R, Zheng Y H, Wang Y J, Peng K C 2019 Appl. Phys. Lett. 115 171103 Google Scholar
[20]	Schönbeck A, Thies F, Schnabel R 2018 Opt. Lett. 43 110 Google Scholar
[21]	Mehmet M, Vahlbruch H, Lastzka N, Danzmann K, Schnabel R 2010 Phys. Rev. A 81 013814 Google Scholar
[22]	Ast S, Mehmet M, Schnabel R 2013 Opt. Express 21 13572 Google Scholar
[23]	Takeno Y, Yukawa M, Yonezawa H, Furusawa A 2007 Opt. Express 15 4321 Google Scholar
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[28]	Martinelli M, Zhang K S, Coudreau T, Maître A, Fabre C 2001 J. Opt. A: Pure Appl. Opt. 3 300 Google Scholar
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[30]	张宏宇, 王锦荣, 李庆回, 吉宇杰, 贺子洋, 杨荣草, 田龙 2019 量子光学学报 25 456 Google Scholar Zhang H Y, Wang J R, Li Q H, Ji Y J, He Z Y, Yang R C, Tian L 2019 Acta Sin. Quantum Opt. 25 456 Google Scholar

施引文献

图 1 OPO结构示意图　(a)单共振OPO; (b)双共振OPO

Fig. 1. Schematic diagram of OPO structure: (a) Singly-resonant OPO; (b) doubly-resonant OPO.

下载: 全尺寸图片幻灯片

图 2 OPO阈值${P_{{\rm{th}}}}$随信号光透射率${T_{\rm{s}}}$变化图

Fig. 2. Diagram of the change of OPO threshold ${P_{{\rm{th}}}}$ with the transmittance of signal light ${T_{\rm{s}}}$.

下载: 全尺寸图片幻灯片

图 3 压缩带宽、OPO信号光线宽、压缩度随${T_{\rm{s}}}$变化图

Fig. 3. Diagram of squeezing bandwidth, signal light linewidth of OPO and squeezing degree changing with ${T_{\rm{s}}}$.

下载: 全尺寸图片幻灯片

图 4 实验装置图

Fig. 4. Diagram of experimental set-up.

下载: 全尺寸图片幻灯片

图 5 OPO信号光的透射峰　(a)单共振OPO的透射峰; (b)双共振OPO的透射峰

Fig. 5. The transmission peaks of OPO signal light: (a) The transmission peaks of singly-resonant OPO; (b) the transmission peaks of doubly-resonant OPO.

下载: 全尺寸图片幻灯片

图 6 OPO的压缩带宽实验结果图

Fig. 6. Experimental results of OPO squeezing bandwidth.

下载: 全尺寸图片幻灯片

图 7 OPO的误差信号频率分布统计图　(a)单共振OPO; (b)双共振OPO

Fig. 7. Statistical graph of frequency distribution of error signal of OPO: (a) Singly-resonant OPO; (b) doubly-resonant OPO.

下载: 全尺寸图片幻灯片

map

[1]	Grote H, Danzmann K, Dooley K L, Schnabel R, Slutsky J, Vahlbruch H 2013 Phys. Rev. Lett. 110 181101 Google Scholar
[2]	Oelker E, Mansell G, Tse M, Miller J, Matichard F, Barsotti L, Fritschel P, McClelland D E, Evans M, Mavalvala N 2016 Optica 3 682 Google Scholar
[3]	成健, 冯晋霞, 李渊骥, 张宽收 2018 67 244202 Google Scholar Cheng J, Feng J X, Li Y J, Zhang K S 2018 Acta Phys. Sin. 67 244202 Google Scholar
[4]	冯晋霞, 杜京师, 靳晓丽, 李渊骥, 张宽收 2018 67 174203 Google Scholar Feng J X, Du J S, Jin X L, Li Y J, Zhang K S 2018 Acta Phys. Sin. 67 174203 Google Scholar
[5]	Su X L, Tian C X, Deng X W, Li Q, Xie C D, Peng K C 2016 Phys. Rev. Lett. 117 240503 Google Scholar
[6]	Huo M R, Qin J L, Cheng J L, Yan Z H, Qin Z Z, Su X L, Jia X J, Xie C D, Peng K C 2018 Sci. Adv. 4 eaas9401 Google Scholar
[7]	聂敏, 张怡心, 杨光, 张美玲, 孙爱晶, 裴昌幸 2019 量子光学学报 25 395 Google Scholar Nie M, Zhang Y X, Yang G, Zhang M L, Sun A J, Pei C X 2019 Acta Sin. Quantum Opt. 25 395 Google Scholar
[8]	Shi S P, Wang Y J, Yang W H, Zheng Y H, Peng K C 2018 Opt. Lett. 43 5411 Google Scholar
[9]	聂丹丹, 冯晋霞, 戚蒙, 李渊骥, 张宽收 2020 69 094205 Google Scholar Nie D D, Feng J X, Qi M, Li Y J, Zhang K S 2020 Acta Phys. Sin. 69 094205 Google Scholar
[10]	万振菊, 冯晋霞, 成健, 张宽收 2018 67 024203 Google Scholar Wan Z J, Feng J X, Cheng J, Zhang K S 2018 Acta Phys. Sin. 67 024203 Google Scholar
[11]	常彦红, 刘阿鹏 2019 量子光学学报 25 297 Google Scholar Chang Y H, Liu A P 2019 Acta Sin. Quantum Opt. 25 297 Google Scholar
[12]	余胜, 刘焕章, 刘胜帅, 荆杰泰 2020 69 090303 Google Scholar Yu S, Liu H Z, Liu S S, Jing J T 2020 Acta Phys. Sin. 69 090303 Google Scholar
[13]	Lloyd S 2008 Science 321 1463 Google Scholar
[14]	Zhang Z S, Mouradian S, Wong F N C, Shapiro J H 2015 Phys. Rev. Lett. 114 110506 Google Scholar
[15]	Zhang Z S, Tengner M, Zhong T, Wong F N C, Shapiro J H 2013 Phys. Rev. Lett. 111 010501 Google Scholar
[16]	Yang W H, Shi S P, Wang Y J, Ma W G, Zheng Y H, Peng K C 2017 Opt. Lett. 42 4553 Google Scholar
[17]	Rihan A, Andrieux E, Zanon-Willette T, Briaudeau S, Himbert M, Zondy J J 2011 Appl. Phys. B 102 367
[18]	Vahlbruch H, Mehmet M, Danzmann K, Schnabel R 2016 Phys. Rev. Lett. 117 110801 Google Scholar
[19]	Zhang W H, Wang J R, Zheng Y H, Wang Y J, Peng K C 2019 Appl. Phys. Lett. 115 171103 Google Scholar
[20]	Schönbeck A, Thies F, Schnabel R 2018 Opt. Lett. 43 110 Google Scholar
[21]	Mehmet M, Vahlbruch H, Lastzka N, Danzmann K, Schnabel R 2010 Phys. Rev. A 81 013814 Google Scholar
[22]	Ast S, Mehmet M, Schnabel R 2013 Opt. Express 21 13572 Google Scholar
[23]	Takeno Y, Yukawa M, Yonezawa H, Furusawa A 2007 Opt. Express 15 4321 Google Scholar
[24]	Samblowski A 2012 Ph. D. Dissertation (Hannover: Leibniz Universität Hannover)
[25]	Emanueli S, Arie A 2003 Appl. Opt. 42 6661 Google Scholar
[26]	Vanherzeele H, Bierlein J D 1992 Opt. Lett. 17 982 Google Scholar
[27]	Schiller S, Schneider K, Mlynek J 1999 J. Opt. Soc. Am. B 16 1512 Google Scholar
[28]	Martinelli M, Zhang K S, Coudreau T, Maître A, Fabre C 2001 J. Opt. A: Pure Appl. Opt. 3 300 Google Scholar
[29]	贾梦源, 赵刚, 周月婷, 刘建鑫, 郭松杰, 吴永前, 马维光, 张雷, 董磊, 尹王保, 肖连团, 贾锁堂 2018 67 104207 Google Scholar Jia M Y, Zhao G, Zhou Y T, Liu J X, Gou S J, Wu Y Q, Ma W G, Zhang L, Dong L, Yi W B, Xiao L T, Jia S T 2018 Acta Phys. Sin. 67 104207 Google Scholar
[30]	张宏宇, 王锦荣, 李庆回, 吉宇杰, 贺子洋, 杨荣草, 田龙 2019 量子光学学报 25 456 Google Scholar Zhang H Y, Wang J R, Li Q H, Ji Y J, He Z Y, Yang R C, Tian L 2019 Acta Sin. Quantum Opt. 25 456 Google Scholar

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宽频带压缩态光场光学参量腔的设计