论文标题
经典随机系统及其在放松，退火和抽水过程中的应用
Generalized speed limits for classical stochastic systems and their applications to relaxation, annealing, and pumping processes
论文作者
论文摘要
我们扩展了两个量子系统中不同发电机进化的两个状态之间距离的速度限制[K。 Suzuki和K. Takahashi，物理。 Rev. Res。 2，032016（R）（2020）]到主方程描述的经典随机过程。我们证明，任意发展状态之间的痕量距离通过使用几何度量来从上方界定。几何结合减少了时间进化状态与初始状态之间的距离的Fisher信息度量标准。我们将放松和退火过程中的结合与非平衡热力学系统已知的不同类型的结合进行比较。对于诸如退火和泵送过程之类的动态过程，时间进化状态与瞬时固定状态之间的距离成为适当的选择，并且界限由固定状态的Fisher信息指标表示。该度量与从固定状态的时间依赖性定义的反绝热期限有关。
We extend the speed limit of a distance between two states evolving by different generators for quantum systems [K. Suzuki and K. Takahashi, Phys. Rev. Res. 2, 032016(R) (2020)] to the classical stochastic processes described by the master equation. We demonstrate that the trace distance between arbitrary evolving states is bounded from above by using a geometrical metric. The geometrical bound reduces to the Fisher information metric for the distance between the time-evolved state and the initial state. We compare the bound in relaxation and annealing processes with a different type of bound known for nonequilibrium thermodynamical systems. For dynamical processes such as annealing and pumping processes, the distance between the time-evolved state and the instantaneous stationary state becomes a proper choice and the bound is represented by the Fisher information metric of the stationary state. The metric is related to the counterdiabatic term defined from the time dependence of the stationary state.
