四模场中单原子系统的新算符求解方法

提出处理腔场与原子、腔场与腔场等系统的较为一般算符方法。基于此方法,通过构造四对时间依赖的产生和湮灭算符,简捷地求解四模腔场或四腔场与二能级原子非共振相互作用系统,得到其本征态、本征值和一般态矢。特别地,在四模场或四腔场和原子的初态分别为真空态和一般叠加态时,给出四场模平均光子数和原子布居数反转的时间演化。该新方法可应用于其它一些量子系统。

New Operator Approach to the System of Single Atom Inside Four-Mode Field

A general and effective operator method is initiated for approaching the quantum systems of cavity field-atom or cavity-cavity field interaction,etc.Based on the approach by constructing four pairs of the time-dependent creation and annihilation operators,we can directly and readily solve the system with the nonresonant interaction between four-mode cavity field or four cavity fields and a two level atom,and its eigenstates,eigenenergies and general statevector are obtained firstly.Particularly,when supposing that the initial states of four modes field or four cavity fields and atom are in vacuum state and general superposition state,respectively,the evolution expressions for both the photon numbers of four field modes and atomic inversion are given.The new approach can be directly applied to some other quantum systems.