Abstract

In a recent paper [C.J.S. Ferreira, T.M. Silva, B. Baseia, Eur. Phys. J. B 92, 257 (2019)], the authors discuss the time evolution of statistical properties of a density operator that interpolates between pure and mixed states, assuming that the time evolution of the system is carried out by a specific time dependence of the coefficients that weight the admixing of the states. Here, we show that this assumption does not correspond exactly to any physical time evolution of the initial state of the system, being only a specific approximation. We present the exact evolution of the system in contact with a dissipative reservoir at zero temperature and discuss the time evolution of interpolations of pure and mixed states.

Graphical abstract

中文翻译：

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关于密度算子在纯态和混合态之间插值的时间演化的注记

摘要

在最近的一篇论文中[CJS Ferreira，TM Silva，B. Baseia，Eur。物理 J.乙92，257（2019）]中，作者讨论的密度操作者的统计性质纯的和混合的状态之间进行内插，假设该系统的随时间的变化是由的一特定时间依赖性进行的时间演变加权状态混合的系数。在这里，我们证明了这种假设并不完全对应于系统初始状态的任何物理时间演化，而只是一个特定的近似值。我们介绍了零耗散储层在零温度下接触系统的精确演化，并讨论了纯态和混合态插值的时间演化。

图形概要