论文标题
Floquet-PxP蜂窝自动机的精确溶液
Exact solution of the Floquet-PXP cellular automaton
论文作者
论文摘要
我们研究了批量确定性浮部模型的动力学，即规则201同步一维持续的细胞自动机（RCA201）。该系统对应于PXP模型的确定性，可逆和离散版本，仅当两个最近的邻居都没有偏见时，站点才会翻转。我们表明，RCA201/floquet-PxP模型表现出与非平凡三倍真空状态之间的域壁相互作用的相互作用的准颗粒（或孤子）的弹道传播。从准粒子图片开始，我们找到了一系列边界条件（包括周期性和随机性）的非平衡固定状态的精确矩阵产物状态形式。我们讨论模型的整合性的进一步含义。
We study the dynamics of a bulk deterministic Floquet model, the Rule 201 synchronous one-dimensional reversible cellular automaton (RCA201). The system corresponds to a deterministic, reversible, and discrete version of the PXP model, whereby a site flips only if both its nearest neighbours are unexcited. We show that the RCA201/Floquet-PXP model exhibits ballistic propagation of interacting quasiparticles - or solitons - corresponding to the domain walls between non-trivial three-fold vacuum states. Starting from the quasiparticle picture, we find the exact matrix product state form of the non-equilibrium stationary state for a range of boundary conditions, including both periodic and stochastic. We discuss further implications of the integrability of the model.
