标题： 能量回流和非马尔可夫动力学 显示英文标题

标题： Energy backflow and non-Markovian dynamics

摘要： 我们研究感兴趣系统与其环境之间能量交换随时间的行为，以及其与系统动力学非马尔可夫性的关系。 为了评估能量交换，我们依赖于完整的计数统计形式化方法，我们用它来评估其概率分布的一阶矩。 我们特别关注从环境到系统的能量回流，我们为其关联一个合适的条件和量化指标，这使我们能够与最近引入的一种基于信息回流的非马尔可夫性概念建立联系。 然后在自旋-玻色模型的情况下详细研究了这个量化指标，在该模型中使用了二阶时间无卷积近似，观察到非马尔可夫性允许观察到能量回流。 这种分析使我们能够确定能量回流较高的参数区域。 显示英文摘要

摘要： We explore the behavior in time of the energy exchange between a system of interest and its environment, together with its relationship to the non-Markovianity of the system dynamics. In order to evaluate the energy exchange we rely on the full counting statistics formalism, which we use to evaluate the first moment of its probability distribution. We focus in particular on the energy backflow from environment to system, to which we associate a suitable condition and quantifier, which enables us to draw a connection with a recently introduced notion of non-Markovianity based on information backflow. This quantifier is then studied in detail in the case of the spin-boson model, described within a second order time-convolutionless approximation, observing that non-Markovianity allows for the observation of energy backflow. This analysis allows us to identify the parameters region in which energy backflow is higher.