Title: Reduced dynamical maps in the presence of initial correlations Show Chinese title

Title: 存在初始关联时的约化动力学映射

Abstract: We introduce a general framework for the construction of completely positive dynamical evolutions in the presence of system-environment initial correlations. The construction relies upon commutativity of the compatibility domain obtained by considering the marginals with respect to the environmental degrees of freedom of the considered class of correlated states. Our approach allows to consider states whose discord is not necessarily zero and explicitly show the non-uniqueness of the completely positive extensions of the obtained dynamical map outside the compatibility domain. The relevance of such maps for the treatment of open quantum system dynamics is discussed and connection to previous literature is critically assessed. Show Chinese abstract

Abstract: 我们引入了一个通用框架，用于在存在系统-环境初始关联的情况下构建完全正的动态演化。 该构造依赖于通过考虑所考虑的一类关联态相对于环境自由度的边缘态得到的相容域的交换性。 我们的方法允许考虑其失谐不一定为零的状态，并明确展示了在相容域之外获得的动力学映射的完全正扩展的非唯一性。 讨论了此类映射在处理开放量子系统动力学中的相关性，并对与先前文献的联系进行了批判性评估。