Energy backflow and non-Markovian dynamics

Energy backflow and non-Markovian dynamics
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DOI:
10.1103/physreva.93.012118
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发表时间:
2016-01-22
期刊:
影响因子:
2.9
通讯作者:
Vacchini, B.
Vacchini, B.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Guarnieri, G.;Uchiyama, C.;Vacchini, B.

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我们探索了感兴趣的系统与其环境之间的能量交换的时间行为,以及它与系统动力学的非马尔可夫性的关系。为了评估能量交换,我们依赖于全计数统计形式,我们使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,我们将其与合适的条件和量词联系起来,这使我们能够将其与最近引入的基于信息回流的非马尔可夫性概念联系起来。然后在自旋玻色子模型的情况下详细研究了这个量子,在二阶无时间卷积近似中描述,观察到非马尔可夫性允许观察能量倒流。这种分析使我们能够确定能量回流较高的参数区域。
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.