Title: From Classical to quantum stochastic process Show Chinese title

Title: 从经典到量子随机过程

Abstract: In this paper for the first time, we construct quantum analogs starting from classical stochastic processes, by replacing random which path decisions with superpositions of all paths. This procedure typically leads to non-unitary quantum evolution, where coherences are continuously generated and destroyed. In spite of their transient nature, these coherences can change the scaling behavior of classical observables. Using the zero temperature Glauber dynamics in a linear Ising spin chain, we find quantum analogs with different domain growth exponents. In some cases, this exponent is even smaller than for the original classical process, which means that coherence can play an important role to speed up the relaxation process. Show Chinese abstract

Abstract: 在本文中，我们首次从经典的随机过程中构建量子类比，通过将随机路径选择替换为所有路径的叠加。 这一过程通常会导致非幺正的量子演化，其中相干性不断生成和消失。 尽管这些相干性具有瞬时性，但它们可以改变经典可观测量的标度行为。 使用线性伊辛自旋链中的零温度格劳伯动力学，我们发现具有不同畴生长指数的量子类比。 在某些情况下，这个指数甚至小于原始经典过程的指数，这意味着相干性可能在加速弛豫过程中起到重要作用。