By virtue of the superoperator technique, we solve analytically the non-Markovian master equation that describes single-mode continuous variable system interacting with a structure reservoir. Our analytical solution allows us to investigate the non-Markovian effects on the dynamics of quantum coherence and non-classicality of Schrödinger cat states embedded in various types of structured reservoirs. We show that the dynamical behaviors of the fidelity, entanglement potentials, and higher-order antibunching of such states can be divided into two phases: they decay rapidly within a short time, but would either vanish completely or tend to a nonzero steady-state value in the long-time limit depending on the initial Schrödinger cat states and system parameters. We also show that by examining the Wigner function and higher-order sub-Poissonian statistics, the super-Ohmic environment can better help to protect the non-classicality, whereas the sub-Ohmic environment causes the disappea...

中文翻译：

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非马尔可夫环境中薛定ding猫状态的非经典动力学

借助超级算子技术，我们解析地求解了描述模型与结构储层相互作用的单模连续变量系统的非马尔可夫主方程。我们的分析解决方案使我们能够研究对嵌入各种类型结构化储层中的薛定ding猫态的量子相干动力学和非经典性的非马尔可夫效应。我们证明了这种状态的保真度，纠缠势能和高阶反聚束的动力学行为可以分为两个阶段：它们在短时间内迅速衰减，但要么完全消失，要么趋于非零稳态值。取决于初始Schrödinger猫的状态和系统参数的长期限制。