标题： 两层开放量子系统的P可除性表征 显示英文标题

标题： Characterization of P-divisibility in two-level open quantum systems

摘要： 我们研究了由具有时间依赖性弛豫率的时间局部主方程支配的两能级开放量子系统中P可分性的不同表征。 给出了动力映射P可分性的必要且充分条件，这些条件是关于此类弛豫率的不等式。 明确证明了文献中几种P可分性表征之间的等价性。 还建立了与Breuer-Laine-Piilo非马尔可夫性度量之间的联系。 作为这些表征的应用，我们研究了量子比特与玻色模式相互作用的开放动力学。 更准确地说，我们表征了由量子比特与玻色模式相互作用产生的量子比特上的局部映射的性质，该玻色模式起到极简环境的作用。 做出了有趣的观察，为更深入地理解CP可分性、P可分性和BLP度量提供了前景。 显示英文摘要

摘要： We study different characterizations of P-divisibility in two-level open quantum systems whose dynamics are governed by a time-local master equation with time-dependent relaxation rates. Necessary and sufficient conditions for the P-divisibility of the dynamical map are given in terms of inequalities on such relaxation rates. The equivalence between several P-divisibility characterizations existing in the literature is explicitly proven. The connection to the Breuer-Laine-Piilo measure of non-Markovianity is also established. As an application of such characterizations, we study the open dynamics of a qubit interacting with a bosonic mode. More precisely, we characterize the properties of the local map on the qubit generated by its interaction with the bosonic mode, playing the role of an extremely reduced bath. Interesting observations are made, opening perspectives for a deeper physical understanding of CP-divisibility, P-divisibility, and BLP measure.