连续变量模型中的非正半群动力学
Non-Positive Semigroup Dynamics in Continuous Variable Models
摘要：
非正的马尔可夫半群有时被用来描述沉浸在外部环境中的子系统的时间演化。为了避免负概率的出现，一个被广泛采用的方法是从可容许的初始条件中消除那些在半群动力学作用下不会保持为正的密度矩阵。使用一个连续变量模型，我们表明，这一过程会导致物理上的不一致时，两个子系统被认为是他们的初始状态纠缠。
英文摘要：
Non-positive, Markovian semigroups are sometimes used to describe the time evolution of subsystems immersed in an external environment. A widely adopted prescription to avoid the appearance of negative probabilities is to eliminate from the admissible initial conditions those density matrices that would not remain positive by the action of the semigroup dynamics. Using a continuous variable model, we show that this procedure leads to physical inconsistencies when two subsystems are considered and their initial state is entangled.
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