[1]牛青,李岩,李卫东.马赫-曾德尔干涉仪中位相测量系统的误差分析[J].深圳大学学报理工版,2015,32(3):306-310.[doi:10.3724/SP.J.1249.2015.0327]
 Niu Qing,Li Yan,and Li Weidong.Systematic error analysis for phase measurement with the Mach-Zehnder interferometer[J].Journal of Shenzhen University Science and Engineering,2015,32(3):306-310.[doi:10.3724/SP.J.1249.2015.0327]
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马赫-曾德尔干涉仪中位相测量系统的误差分析()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第32卷
期数:
2015年第3期
页码:
306-310
栏目:
光电工程
出版日期:
2015-05-20

文章信息/Info

Title:
Systematic error analysis for phase measurement with the Mach-Zehnder interferometer
文章编号:
201503012
作者:
牛青李岩李卫东
山西大学理论物理研究所,太原 030006
Author(s):
Niu Qing Li Yan and Li Weidong
Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, P.R.China
关键词:
凝聚态物理马赫-曾德尔干涉仪蒙特卡罗方法矩估计位相粒子数差高斯分布
Keywords:
condensed matter physics Mach-Zehnder interferometer Monte-Carlo algorithm the method of moments phase particle number difference Gaussian distribution
分类号:
O 469
DOI:
10.3724/SP.J.1249.2015.0327
文献标志码:
A
摘要:
利用蒙特卡罗(Monte-Carlo)方法对一端输入相干态,另一端输入真空态的马赫-曾德尔(Mach-Zehnder)干涉仪的位相测量误差进行了研究.通过分析粒子数差的测量结果,验证该测量方法所测得的位相值的误差依赖于待测位相θ: 当θ靠近0或π时,测量误差较大,当θ靠近0.5π时,可达到测量误差的最小极限(散粒噪声极限).理论分析发现,待测位相与测量结果之间的函数关系f-1的非线性导致位相的估计出现偏差.
Abstract:
Using the Monte-Carlo algorithm, we investigate the phase measurement error of the Mach-Zehnder interferometer with a coherent state in one input port and a vacuum state in the other input port. By analyzing the phase measurements based on the difference of particle numbers, we find that the phase accuracy of the Mach-Zehnder interferometer is dependent on the measured phase θ. The minimum limit on measurement accuracy (the shot noise limit) is obtained when θ is around 0.5π, while the measurement error is larger for θ close to 0 or π. Through theoretical analysis, we find that the result is caused by the non-linearity of the function f-1, which is a function between the phase to be measured and the measurement to be estimated.

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备注/Memo

备注/Memo:
Received:2015-02-04;Accepted:2015-03-20
Foundation:National Natural Science Foundation of China (11374197)
Corresponding author:Professor Li Weidong.E-mail: wdli@sxu.edu.cn
Citation:Niu Qing,Li Yan,Li Weidong.Systematic error analysis for phase measurement with the Mach-Zehnder interferometer[J]. Journal of Shenzhen University Science and Engineering, 2015, 32(3): 306-310.(in Chinese)
基金项目:国家自然科学基金资助项目(11374197)
作者简介:牛青(1990—),女(汉族),山西省忻州市人,山西大学硕士研究生.E-mail:yuxuehancheng@163.com
引文:牛青,李岩,李卫东.马赫-曾德尔干涉仪中位相测量系统的误差分析[J]. 深圳大学学报理工版,2015,32(3):306-310.
更新日期/Last Update: 2015-05-09