Theory of a Kaptiza-Dirac Interferometer with Cold Trapped Atoms  

作　　者：Ruolei Cheng Tianchen He Weidong Li Augusto Smerzi Ruolei Cheng;Tianchen He;Weidong Li;Augusto Smerzi(Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China;Department of Physics, Taiyuan Normal University, Taiyuan, China;QSTAR, INO-CNR and LENS, Firenze, Italy)

机构地区：[1]Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China [2]Department of Physics, Taiyuan Normal University, Taiyuan, China [3]QSTAR, INO-CNR and LENS, Firenze, Italy

出　　处：《Journal of Modern Physics》2016年第15期2043-2062,共20页现代物理（英文）

摘　　要：We theoretically analyse a multi-modes atomic interferometer consisting of a sequence of Kapitza-Dirac pulses (KD) applied to cold atoms trapped in a harmonic trap. The pulses spatially split the atomic wave-functions while the harmonic trap coherently recombines all modes by acting as a coherent spatial mirror. The phase shifts accumulated among different KD pulses are estimated by measuring the number of atoms in each output mode or by fitting the density profile. The sensitivity is rigorously calculated by the Fisher information and the Cramér-Rao lower bound. We predict, with typical experimental parameters, a temperature independent sensitivity which, in the case of the measurement of the gravitational constant g can significantly exceed the sensitivity of current atomic interferometers.We theoretically analyse a multi-modes atomic interferometer consisting of a sequence of Kapitza-Dirac pulses (KD) applied to cold atoms trapped in a harmonic trap. The pulses spatially split the atomic wave-functions while the harmonic trap coherently recombines all modes by acting as a coherent spatial mirror. The phase shifts accumulated among different KD pulses are estimated by measuring the number of atoms in each output mode or by fitting the density profile. The sensitivity is rigorously calculated by the Fisher information and the Cramér-Rao lower bound. We predict, with typical experimental parameters, a temperature independent sensitivity which, in the case of the measurement of the gravitational constant g can significantly exceed the sensitivity of current atomic interferometers.

关 键 词：Atom Interferometry Kapitza-Dirac Pulse Dynamics Gravitational Acceleration Constant Sensitivity Noise and Decoherence 

分 类 号：O43[机械工程—光学工程]