中文摘要：

运用非马尔可夫量子理论与熵压缩理论，研究了非马尔可夫环境下经典场驱动Jaynes-Cummings模型中原子的熵压缩，考察了非马尔可夫效应、经典场驱动、体系失谐量对原子熵压缩的影响．用非马尔可夫过程的记忆效应解释了原子熵压缩的动力学行为．结果表明：非马尔可夫效应和经典场驱动的共同作用有利于原子熵压缩的产生与维持．在非马尔可夫环境下，通过选择适当的系统参数，可以产生压缩度大、压缩持续时间长的原子熵压缩态．研究结果为利用光场一原子相互作用制备压缩度大、压缩持续时间长的最佳原子压缩态提供了可能途径．

英文摘要：

The atomic entropy squeezing of the Jaynes-Cummings model driven by classical fields in non-Markovian environment is investigated according to the non-Markovian quantum theory and the entropy squeezing theory. Our attention is focused on the influences of the non-Markovian effects, the Rabi frequencys of classical fields and the detuning on the atomic entropy squeezing. And we explain the atomic entropy squeezing dynamic by the memory effects of the non-Markovian processes. It is found that the atomic entropy squeezing can be maintained for a long time when both the Rabi frequencys of classical fields and the non-Markovian effect are present simultaneously. And we can obtain the optimal squeezing states by choosing appropriate parameters of the Rabi frequency and the detuning of classical field. Our results provide a potential method of generating high-degree squeezed and longtime atomic squeezing states by controlling the atom-field interaction.