[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