Data Collecting And Processing In Second-order Correlated System Via Weak Measurement

Since the first time to experimentally realize weak measurement in 1991,weak measurement technique has attracted the attention of researchers.Scientists have readily proposed different frameworks in theory and in practice.One branch of weak measurement technique is weak value amplification,the one in which we can achieve amplification through weak-coupling and post-selection.Weak measurement amplification focuses on measuring a tiny physical quantity which equipment cannot measure precisely.Wholly process includes steps as follows: weakly couple the system and the meter,and strongly measure the meter to extract the information we want.Finally,get the information by data processing.Though a wide use in many fields it has,weak value amplification technique has not been applied in correlated optical system yet.Our work focuses on a new attempt to realize weak value amplification based on a second-order correlated system.On one hand,better performance of weak value amplification technique can be accessible.On the other hand,weak value amplification theory can be introduced in correlated optics.Joint weak measurement is a new method based on weak measurement amplification technique.It has proved to be true that weak measurement amplification technique has some intrinsic defects.For example,a great quantity of photons is filtered by post-selection process that lots of information is lost during the experiment.Moreover,the weak value cannot be obtained when the post-selection parameter is fluctuated on a small scale.Joint weak measurement method use spectrometers to extract all the photons and can take use of data in a more effective way.All of the work stated in this thesis is listed below1?Introduce the basic knowledge of weak measurement and traditional weak measurement theory and experiments.2?Propose a new method to realize weak measurement amplification via second-order correlated system and analyze the flexibility.Then a two-dimensional second-order correlated pattern is established.Different scanning methods can be found in the pattern and a larger amplification is obtained.3?Introduce the maximum likelihood estimation method and the basic knowledge of joint weak measurement including the mathematical calculation and the parameter estimation process.Then a data collecting and processing system is established to decrease the complexity of the data processing.