单个原子的二模有效Raman理论研究

EFFECTIVE TWO MODE RAMAN THEORY FOR A SINGLE ATOM OR ION

研究了单个原子或离子与两束激光量子场相互作用的非线性系统．首先提出描述一次涉及２ｋ（ｋ＝１，２，３，…）个光子的光强相关耦合Ｒａｍａｎ过程的普适模型，然后利用作者发展的一种求解各种非线性ＪａｙｎｅｓＣｕｍｍｉｎｇｓ模型的系统方法，精确求解了该普适模型，得到了它的能量本征值和本征矢、演化算符。

Abstract In this Paper, we investigate a nonlinear system composed of an effective two level atom or ion interacting with two quantized cavity fields.We propose a fairly universal intensity dependent Raman model to describe the atomic or ionic transitions involving 2k photons.Using the standard and unified method we have put forward, we obtain the analytical expressions of the model′s energy eigenvalues and eigenvectors, evolution operator,photon number operators for the two quantized modes,as well as the atomic inversion operator.