Kurt Arzu
Department of Physics, Bolu Abant İzzet Baysal University, 14030 Bolu, Türkiye.
Entropy (Basel). 2023 Mar 14;25(3):501. doi: 10.3390/e25030501.
The non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment, and it is thought to be a resource for various quantum information tasks. We have investigated the non-Markovianity of the dynamics of a two-state system driven by continuous time random walk-type noise, which can be Markovian or non-Markovian depending on its residence time distribution parameters. Exact analytical expressions for the distinguishability as well as the trace distance and entropy-based non-Markovianity measures are obtained and used to investigate the interplay between the non-Markovianity of the noise and that of dynamics. Our results show that, in many cases, the dynamics are also non-Markovian when the noise is non-Markovian. However, it is possible for Markovian noise to cause non-Markovian dynamics and for non-Markovian noise to cause Markovian dynamics but only for certain parameter values.
开放量子系统动力学的非马尔可夫性通常与系统及其环境之间的双向信息交换相关联，并且它被认为是各种量子信息任务的一种资源。我们研究了由连续时间随机游走型噪声驱动的两态系统动力学的非马尔可夫性，该噪声根据其停留时间分布参数可以是马尔可夫的或非马尔可夫的。获得了可区分性以及基于迹距离和熵的非马尔可夫性度量的精确解析表达式，并用于研究噪声的非马尔可夫性与动力学的非马尔可夫性之间的相互作用。我们的结果表明，在许多情况下，当噪声是非马尔可夫时，动力学也是非马尔可夫的。然而，马尔可夫噪声有可能导致非马尔可夫动力学，非马尔可夫噪声也有可能导致马尔可夫动力学，但仅在某些参数值的情况下。
