物理与工程2025，Vol.35Issue(5)：5-11,19,8.
原子与光场共振时杰恩斯-卡明斯模型时间演化的解析及数值求解
ANALYTICAL AND NUMERICAL SOLUTIONS FOR THE TIME EVOLUTION OF THE JAYNES-CUMMINGS MODEL AT ATOMIC AND LIGHT FIELD RESONANCE
摘要
Abstract
The Jaynes-Cummings(JC)model is one of the most fundamental models for the interaction between light and matter.In this paper,we first derive the explicit expression for the time evolution operator of the JC model when the light field resonates with a two-level at-om.Based on this,we calculate the analytical expressions for the system state and the popula-tion of each atomic energy level as a function of time when the two-level atom is initially in a superposition of two energy eigenstates and the light field is in a superposition of three photon number states and a coherent state,respectively.Finally,this paper introduces QuTiP,a use-ful extension library in Python for quantum mechanics simulation and numerical solution,and uses it to numerically solve the time evolution of this model,obtaining results consistent with the analytical solutions.These computational processes are of great significance in scientific research and university physics teaching.关键词
量子光学/JC模型/时间演化/数值计算Key words
quantum optics/JC model/time evolution/numerical calculation引用本文复制引用
姚绍辉,熊兆华..原子与光场共振时杰恩斯-卡明斯模型时间演化的解析及数值求解[J].物理与工程,2025,35(5):5-11,19,8.基金项目
国家自然科学基金项目(项目编号:12475104). （项目编号:12475104）
