平行动力学的精确矩阵乘积态：环上的开边界和多余质量
Exact matrix-product states for parallel dynamics: Open boundaries and excess mass on the ring
摘要：
本文证明了具有开边界和并行更新的非对称简单排斥过程（ASEP）的稳态权可以写成一个标量对分解状态和一个矩阵乘积状态的乘积。这种类型的状态也可以在环上的ASEP中获得，其中粒子可以移动一个或两个位置。动力学导致形成了一个多余的洞，发挥了缺陷的作用。我们期望该过程在并行动力学中发挥类似的作用，特别是对于冲击的研究，作为著名的具有单个缺陷粒子的ASEP（在连续时间限制中获得）。该过程表现出具有不同缺陷速度的两相之间的一级相变。这些都是从过程生成函数中精确计算出来的。
英文摘要：
In this paper it is shown that the steady-state weights of the asymmetric simple exclusion process (ASEP) with open boundaries and parallel update can be written as a product of a scalar pair-factorized and a matrix-product state. This type of state is also obtained for an ASEP on a ring in which particles can move one or two sites. The dynamics leads to the formation of an excess hole that plays the role of a defect. We expect the process to play a similar role for parallel dynamics as the well-known ASEP with a single defect-particle (that is obtained in the continuous-time limit) especially for the study of shocks. The process exhibits a first-order phase transition between two phases with different defect velocities. These are calculated exactly from the process-generating function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
