Claeys Pieter W, Lamacraft Austen
TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
Phys Rev Lett. 2021 Mar 12;126(10):100603. doi: 10.1103/PhysRevLett.126.100603.
Dual-unitary quantum circuits can be used to construct 1+1 dimensional lattice models for which dynamical correlations of local observables can be explicitly calculated. We show how to analytically construct classes of dual-unitary circuits with any desired level of (non-)ergodicity for any dimension of the local Hilbert space, and present analytical results for thermalization to an infinite-temperature Gibbs state (ergodic) and a generalized Gibbs ensemble (nonergodic). It is shown how a tunable ergodicity-inducing perturbation can be added to a nonergodic circuit without breaking dual unitarity, leading to the appearance of prethermalization plateaux for local observables.
双酉量子电路可用于构建1 + 1维晶格模型，对于该模型，局部可观测量的动力学关联可以明确计算。我们展示了如何针对局部希尔伯特空间的任何维度，通过解析方法构建具有任何所需（非）遍历性水平的双酉电路类，并给出热化到无限温度吉布斯态（遍历）和广义吉布斯系综（非遍历）的解析结果。展示了如何在不破坏双酉性的情况下，将可调谐的遍历性诱导微扰添加到非遍历电路中，从而导致局部可观测量出现预热化平台。
