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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.
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Keywords:
- second-order correlation /
- group velocity dispersion /
- quantum ranging
[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
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[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
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