The Influences Of The Amplitude And Phase Of Raman Pulses On The Precision Of Atom Interferometer

With the rapid development of the laser cooling technology, the investigation on the atom interferometer are emerging at a fast pace. More and more groups are engaged in this field and many excellent results have been achieved. The measurement precision analysis is one of the most important parts among the researches on the atom interferometers. This thesis focuses on the influences of the amplitude and phase of Raman pulses on the measurement precision of the atom interferometers.In chapter 1, the progress of the researches on cold atom physics and atom interferometers is reviewed. Moreover, the mechanism, characteristics and applications of atom interferometers are introduced, among which the application of the atom interferometers in gravitational acceleration measurement is a main concern. The present researches on the precision analysis of cold atom interferometer are reviewed in this chapter.In chapter 2, the state distribution matrix of the interactions between atoms and Raman pulses is deduced by using the semi-classical theory and taking into account the amplitude and phase of Raman pulses. After that the transition probabilities of the interaction between atoms and Raman pulses are calculated. The dependence of the transition probabilities of the atoms on the radius of the atom ensemble, and that on the spot size of Raman pulses is also discussed.In chapter 3, the transition probabilities of the interaction between atoms and Raman pulse sequences are calculated. The dependence of the transition probabilities of the atoms on the radius of the atom ensemble, and that on the spot size of Raman pulses is also discussed.In chapter 4, the influence of the wave-front curvature of Raman pulses on the measurement precision of gravitational acceleration in atom interferometers is analyzed with the method of a transmission matrix. It is shown that the measurement precision of gravitational acceleration is highly dependent on the spot size of the Raman pulse, the temporal interval between Raman pulses and the optical path difference of the two counter-propagating Raman pulses.In chapter 5, a summary of the thesis and proposals for the future study are given.