原子干涉条纹与重力加速度测量精度的关系

The Relation Between the Atom Interference Fringe and the Measurement Precision of Gravity

从薛定谔方程出发,研究了拉曼脉冲激光与冷原子的相互作用,得出了作用后的密度矩阵方程。利用原子传输矩阵,得出原子在重力场中的各个位置和速度随时间的变化关系。结合原子密度矩阵和原子传输矩阵,得到了原子能态布居与重力加速度的严格关系式。进一步详细讨论了拉曼脉冲有效拉比振荡频率对重力加速度测量精度的影响。

Based on the schrodinger equation, the interaction between the cold atom and Raman laser pulse is investigated, and the density matrix equation is obtained. The cloud location and velocity of atom under the influence of gravity is calculated by using ABCD propagation matrix for atom beam in space. Using density distribution matrix and propagation matrix of atom beam, the relation between the gravity and the population on the energy level of atom is derived. In the end, the influences of the effective Rabi oscillation frequency of Raman beams on the measurement precision of gravity is discussed in detailed.