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群速度色散对于纠缠光场二阶关联函数影响的研究

韩笑纯 黄靖正 方晨 曾贵华

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群速度色散对于纠缠光场二阶关联函数影响的研究

韩笑纯, 黄靖正, 方晨, 曾贵华

Research of the impact of group velocity dispersion on the second-order correlation of entangled light field

Han Xiao-Chun, Huang Jing-Zheng, Fang Chen, Zeng Gui-Hua
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  • HBT干涉是量子测量中的一种重要手段, 其通过计算光场的二阶关联函数而得到测量结果. 在长距离测距中, 光场的二阶关联函数会受到光纤中群速度色散的影响而发生展宽和平移, 从而在一定程度上影响测量精度. 本文主要针对二阶关联函数半高宽受群速度色散的影响, 给出了半高宽与测量距离与群速度色散系数的关系.
    In the experiment presented in the paper, HBT (Hanbury-Brown and Twiss) interferometer is used to measure the second-order correlation function (G2) for two entangled photons, denoted as signal and idle ones, generated by the spontaneous parametric down-conversion process. When an extra optical fiber is inserted in the signal's path, the arrival times of these two photons are different, so that the length of the fiber can be estimated by measuring the time offset in the G2 function.#br#As the laser light we used is not monochromatic, the experimental result is affected by the group velocity dispersion (GVD). Light of different wavelength has different velocity and leads to different travelling time in the fiber. Through calculation, we find that the G2 function of each wavelength has the same shape but different center time offset. Thus, the final G2 function, as a superimposition of the functions with different wavelengths, is broadened in a long-distance measurement, which seriously reduces the estimation accuracy. We analyze this phenomenon in both theory and experiment, and the experimental results fit our theoretical simulations quite well.#br#In the theoretical analysis, we find that the group velocity dispersion introduces an additional time offset to the final G2 function which is proportional to the total time offset. In our experiment, this additional time offset is about 1% of the total time offset. In particular, this effect results in a 63600 ps extra time offset, which can be compensated in post process, with a time accuracy of about 1 ps.#br#This paper focuses on the G2 function affected by the group velocity dispersion, and also calculates the additional time offset produced by group velocity dispersion, and thus gives a method to compensate the additional time offset through calculation.
    • 基金项目: 国家自然科学基金(批准号:61170228, 61332019)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61170228, 61332019).
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    Zhang Y J, Yang X Q, Han W 2013 Chin. Phys. B 22 090307

    [7]

    Zhu J, Cheng X X, Huang P, Zeng G H 2012 Applied Optics 51 4885

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    Man X J, Dong Y, He H, HuW S 2010 Chinese Journal of Scientific Instrument 131 19

    [9]

    Hanbury R, Brown R Q Twiss 1956 Nature 178 1046

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    Xiao J J, Chen F, Han X C, Zhao J K, Zeng G H 2013 Chinese Physics Letters 30 100301

    [11]

    Hong C K, Ou Z Y, Mandal L 1987 Phys. Rev. Lett. 59 2044

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    Masayuki O, Ryo O, Akira T, Shutaro I, Norihiko N, Shigeki T 2013 Phys. Rev. A 88 043845

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    Alejandra V, Maria V C, Alexei T, Shih Y H 2002 Phys. Rev. Lett. 88 183601

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    Klyshko D N 1988 Photons and Nonlinear Optics (Vol. 1) (New York: CRC Press) pp120-121

  • [1]

    Zhang L J, Xiao M 2013 Chin. Phys. B 22 110310

    [2]

    Zhu J, Lu Y, Huang P, Liu J N, Zeng G H 2011 AIP Conference Proceeding 1363 117

    [3]

    Huang P, Zhu J, Lu Y, Zeng G H 2011 International Journal of Quantum Information 9 701

    [4]

    Bennett C H, Brassard G, Crépeau C 1993 Phys. Rev. Lett. 70 1895

    [5]

    Liu S Y, Zheng K M, Jia F 2014 Acta Phys. Sin. 63 140302 (in Chinese) [刘世右, 郑凯敏, 贾芳, 胡利云, 谢芳森 2014 63 140302]

    [6]

    Zhang Y J, Yang X Q, Han W 2013 Chin. Phys. B 22 090307

    [7]

    Zhu J, Cheng X X, Huang P, Zeng G H 2012 Applied Optics 51 4885

    [8]

    Man X J, Dong Y, He H, HuW S 2010 Chinese Journal of Scientific Instrument 131 19

    [9]

    Hanbury R, Brown R Q Twiss 1956 Nature 178 1046

    [10]

    Xiao J J, Chen F, Han X C, Zhao J K, Zeng G H 2013 Chinese Physics Letters 30 100301

    [11]

    Hong C K, Ou Z Y, Mandal L 1987 Phys. Rev. Lett. 59 2044

    [12]

    Aephraim M S, Paul G K, Raymond Y C 1992 Phys. Rev. A 45 6659

    [13]

    Masayuki O, Ryo O, Akira T, Shutaro I, Norihiko N, Shigeki T 2013 Phys. Rev. A 88 043845

    [14]

    Alejandra V, Maria V C, Alexei T, Shih Y H 2002 Phys. Rev. Lett. 88 183601

    [15]

    Klyshko D N 1988 Photons and Nonlinear Optics (Vol. 1) (New York: CRC Press) pp120-121

计量
  • 文章访问数:  2967
  • PDF下载量:  294
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-09-25
  • 修回日期:  2014-11-05
  • 刊出日期:  2015-04-05

群速度色散对于纠缠光场二阶关联函数影响的研究

  • 1. 上海交通大学量子信息感知与处理研究中心, 区域光纤通信网与新型光通信系统国家重点实验室, 上海 200240
    基金项目: 国家自然科学基金(批准号:61170228, 61332019)资助的课题.

摘要: HBT干涉是量子测量中的一种重要手段, 其通过计算光场的二阶关联函数而得到测量结果. 在长距离测距中, 光场的二阶关联函数会受到光纤中群速度色散的影响而发生展宽和平移, 从而在一定程度上影响测量精度. 本文主要针对二阶关联函数半高宽受群速度色散的影响, 给出了半高宽与测量距离与群速度色散系数的关系.

English Abstract

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