Megier Nina, Ponzi Manuel, Smirne Andrea, Vacchini Bassano
Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, Via Celoria 16, 20133 Milan, Italy.
Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milan, Italy.
Entropy (Basel). 2021 Jul 16;23(7):905. doi: 10.3390/e23070905.
Simple, controllable models play an important role in learning how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class of quantum dynamics provides us with a phenomenological approach to characterise dynamics with a variety of non-Markovian behaviours, here described in terms of the trace distance between two reduced states. By adopting a trajectory picture for the open quantum system evolution, we analyse how non-Markovianity is influenced by the constituents defining the quantum renewal process, namely the time-continuous part of the dynamics, the type of jumps and the waiting time distributions. We focus not only on the mere value of the non-Markovianity measure, but also on how different features of the trace distance evolution are altered, including times and number of revivals.
简单、可控的模型在学习如何操纵和控制量子资源方面发挥着重要作用。我们在此关注量子非马尔可夫性，并通过量子更新过程对开放量子系统的演化进行建模。这类量子动力学为我们提供了一种现象学方法，用以表征具有各种非马尔可夫行为的动力学，这里用两个约化态之间的迹距离来描述。通过采用开放量子系统演化的轨迹图景，我们分析了非马尔可夫性如何受到定义量子更新过程的要素的影响，即动力学的时间连续部分、跃迁类型和等待时间分布。我们不仅关注非马尔可夫性度量的单纯值，还关注迹距离演化的不同特征是如何改变的，包括复苏的时间和次数。
