论文标题
量子弱不变体：波动和相关性的动态演变
Quantum weak invariants: Dynamical evolution of fluctuations and correlations
论文作者
论文摘要
弱不变量是具有保守期望值的时间依赖性可观察物。但是，它们的波动不会及时保持恒定。假设开放量子系统状态的时间演变是根据一个完全正面的映射给出的，即使映射不是统一的，波动在单调上也会增长，这与von Neumann熵和Rényi熵的单调增加相反，该事实都要求该地图是统一的。通过这种方式，弱的不变式以不同于熵的方式描述时间不对称。在系统密度矩阵遵守Gorini-Kossakowski-lindblad-Sudarshan方程时，为与弱不变量相关的协方差矩阵的时间演变提供了公式。
Weak invariants are time-dependent observables with conserved expectation values. Their fluctuations, however, do not remain constant in time. On the assumption that time evolution of the state of an open quantum system is given in terms of a completely positive map, the fluctuations monotonically grow even if the map is not unital, in contrast to the fact that monotonic increases of both the von Neumann entropy and Rényi entropy require the map to be unital. In this way, the weak invariants describe temporal asymmetry in a manner different from the entropies. A formula is presented for time evolution of the covariance matrix associated with the weak invariants in the case when the system density matrix obeys the Gorini-Kossakowski-Lindblad-Sudarshan equation.
