论文标题
随机强零模式及其动态表现
Stochastic strong zero modes and their dynamical manifestations
论文作者
论文摘要
强零模式（SZM）是位于某些量子旋转链边缘的保守算子，从而产生了边缘旋转的长相干时间。在这里，我们在一维经典随机系统中定义和分析类似运算符。为了具体，我们专注于具有单个占用率和最近的邻居过渡的链条，尤其是粒子跳跃，配对创造和an灭。对于参数的可集成选择，我们找到了SZM运算符的确切形式。通常，在经典的基础上，随机SZM的动态后果与量子对应物的动力学后果大不相同。我们表明，随机SZM的存在是通过时间相关函数之间的一类精确关系来表现出来的，在同一系统中没有周期性的边界。
Strong zero modes (SZMs) are conserved operators localised at the edges of certain quantum spin chains, which give rise to long coherence times of edge spins. Here we define and analyse analogous operators in one-dimensional classical stochastic systems. For concreteness, we focus on chains with single occupancy and nearest-neighbour transitions, in particular particle hopping and pair creation and annihilation. For integrable choices of parameters we find the exact form of the SZM operators. Being in general non-diagonal in the classical basis, the dynamical consequences of stochastic SZMs are very different from those of their quantum counterparts. We show that the presence of a stochastic SZM is manifested through a class of exact relations between time-correlation functions, absent in the same system with periodic boundaries.
