论文标题
部分可观测时空混沌系统的无模型预测
Quantum homogenization in non-Markovian collisional model
论文作者
论文摘要
碰撞模型是旨在研究开放量子系统的微观框架类别。该框架涉及一个系统与由相同准备的单位组成的浴缸进行顺序相互作用的系统。在这方面,量子同质化是系统状态在渐近极限下接近相同制备的浴室状态状态的过程。在这里,我们研究了通过额外的浴缸相互作用生成的非马克维亚碰撞模型框架中单个值的均质化过程。通过部分互换操作,作为系统浴和浴缸浴缸的统一,我们从数值上证明,无论系统或浴室单位的初始状态如何,都可以实现均匀化。这让人联想到马尔可维亚的情况,其中部分互换是通用量子均质器的独特操作。另一方面,我们观察到均质化速率比马尔可夫计数器部分慢。有趣的是,浴室浴室的统一速度的不同选择会逐渐加快均匀化过程,但失去了普遍性,取决于浴室单位的初始状态。
Collisional models are a category of microscopic framework designed to study open quantum systems. The framework involves a system sequentially interacting with a bath comprised of identically prepared units. In this regard, quantum homogenization is a process where the system state approaches the identically prepared state of bath unit in the asymptotic limit. Here, we study the homogenization process for a single qubit in the non-Markovian collisional model framework generated via additional bath-bath interaction. With partial swap operation as both system-bath and bath-bath unitary, we numerically demonstrate that homogenization is achieved irrespective of the initial states of the system or bath units. This is reminiscent of the Markovian scenario, where partial swap is the unique operation for a universal quantum homogenizer. On the other hand, we observe that the rate of homogenization is slower than its Markovian counter part. Interestingly, a different choice of bath-bath unitary speeds up the homogenization process but loses the universality, being dependent on the initial states of the bath units.