皮秒亮基孤子态Jaynes-Cummings模型量子场熵演化特性

The properties of evolution of field quantum entropy in the picoseconds fundamental bright soliton state Jaynes-Cummings model

基于皮秒亮孤子态光场中光子的定域产生和湮没算符与自由光场中光子的产生和湮没算符一样,从而仿照标准Jaynes-Cummings(简称JC)模型,利用Von Neumann量子约化熵理论研究了皮秒亮基孤子态光场与单个理想二能级原子单光子共振相互作用系统中量子场熵的时间演化特性,通过数值计算详细讨论了初始光强及场与原子之间耦合强度对量子场熵演化特性的影响。结果表明:初始光强不仅影响量子场熵演化的最值和振荡幅度,而且影响场熵演化的平均值,而场与原子之间的耦合强度影响量子场熵演化的周期和其无规则振荡的剧烈程度。

Based on the fact that the localized creation and annihilation operators of photons in the picosoconds fundamental bright sofiton state field are the same as the creation and annihilation operators of photons in the free field, so following the standard Jaynes - Cummings（abbreviated to be JC） model, the properties of time evolution of field quantum entropy in the system of a picoseconds fundamental bright soliton state field interacting with an ideal two - level atom through single photon resonant processes based on the Von Neumann quantum reduced entropy theory, and the attention is focused on the discussion of the influence of both the initial field insitenty and the coupling strength between the field and the atom on the properties of the time evolution of the field quantum entropy. The results obtained from the numerical method indicate that the initial field insitenty affects not only the maximum and minimum values and the oscillation amplitude of the evolution of the field quantum entropy, but also the average value of the field quantum entropy. While the coupling strength between the field and the atom influences both the periodicity and the intensity of the irregular oscillation of the field quantum entropy.