论文标题
通过马克维亚语和非马克维亚性来区分量子动力学
Distinguishing quantum dynamics via Markovianity and Non-Markovianity
论文作者
论文摘要
为了研究各种量子动力学，开发有效的方法来检测和区分不同的量子动态非常重要。一种常见的非隔离方法是将辅助系统（Ancilla）与目标系统相结合，并仅测量Ancilla。通过这样做，目标系统成为Ancilla的环境。因此，目标系统的不同量子动力学将对应于不同的环境属性。在这里，我们分析研究XX旋转链，呈现出不同种类的量子动力学，即局部，离域和驱动动力学，并在马尔可维亚语与非马科维亚性之间建立连接 - 环境的两个最常见的属性。对于耦合到XX链的量子，我们通过投影方法得出了值的还原密度矩阵。此外，当引入XX链中时，我们通过引入开放系统交互作用图片来概括投影方法 - 对DIRAC交互作用图片的修改。通过在分析和数值上计算值的降低密度矩阵，我们发现当不考虑边界效应时，离域（局部）链对应于马尔可夫（非马克维亚）浴，并且具有dephasing噪声的特征作为浴缸的链条的特征取决于降压强度。只能通过测量量子，可以区分三种量子动力学。
To study various quantum dynamics, it is important to develop effective methods to detect and distinguish different quantum dynamics. A common non-demolition approach is to couple an auxiliary system (ancilla) to the target system, and to measure the ancilla only. By doing so, the target system becomes an environment for the ancilla. Thus, different quantum dynamics of target systems will correspond to different environment properties. Here, we analytically study XX spin chains presenting different kinds of quantum dynamics, namely localized, delocalized, and dephasing dynamics, and build connections between Markovianity and non-Markovianity-the two most common properties of an environment. For a qubit coupled to the XX chain, we derived the reduced density matrix of the qubit through the projection method. Furthermore, when dephasing noise was introduced to the XX chain, we generalized the projection method by introducing an open-system interaction picture - a modification of the Dirac interaction picture. By calculating the reduced density matrix for the qubit analytically and numerically, we found that the delocalized (localized) chain corresponds to the Markovian (non-Markovian) bath when boundary effects are not considered, and the feature of the chain with dephasing noise as a bath is dependent on the dephasing strength. The three kinds of quantum dynamics can be distinguished by measuring the qubit only.
