论文标题
关于多级旋转玻色子模型中的马尔可道和古典性
On Markovianity and classicality in multilevel spin-boson models
论文作者
论文摘要
我们提供了有关由统一状态和可能的多级激发扇区的多层次系统造成的统一和减少进化的详细讨论，并通过旋转波的相互作用耦合到多模玻色子场。我们明确地证明，在耦合相对于玻色子频率的极限下，该系统在任意基础的尖锐测量下是马尔可夫人。我们还发现该过程是经典的必要条件，即其多时间联合概率分布的家族满足Kolmogorov的一致性条件，因此可以通过经典的随机过程等效地获得。
We provide a detailed discussion about the unitary and reduced evolution induced by family of Hamiltonian models describing a multilevel system, with a ground state and a possibly multilevel excited sector, coupled to a multimode boson field via a rotating-wave interaction. We prove explicitly that the system, in the limit in which the coupling is flat with respect to the boson frequencies, is Markovian under sharp measurements in arbitrary bases; we also find necessary and sufficient conditions under which the process is classical, i.e. its family of multitime joint probability distributions satisfies the Kolmogorov consistency condition, and may thus be equivalently obtained by a classical stochastic process.
