论文标题
最大速度量子电路
Maximum velocity quantum circuits
论文作者
论文摘要
我们考虑了两类量子晶格模型中的超时阶外相关器（OTOC）的长期限制，其时间演变由局部单位量子电路和最大蝴蝶速度$ v_ {b} = 1 $。使用转移矩阵方法，我们为在光锥上和内部OTOC的长时间值提供了分析结果。首先，我们考虑具有各种层状性的“双单位”电路，包括可集成且不可集成的踢伊辛模型，在此我们可以从光锥上显示指数型衰减，并将衰减速率和长期值与相关功能相关联。其次，我们考虑了类似于可集成的Ising型号的一类踢XY模型，再次满足$ v_ {b} = 1 $，强调最大蝴蝶速度并不是双统一电路所独有的。
We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of quantum lattice models with time evolution governed by local unitary quantum circuits and maximal butterfly velocity $v_{B} = 1$. Using a transfer matrix approach, we present analytic results for the long-time value of the OTOC on and inside the light cone. First, we consider `dual-unitary' circuits with various levels of ergodicity, including the integrable and non-integrable kicked Ising model, where we show exponential decay away from the light cone and relate both the decay rate and the long-time value to those of the correlation functions. Second, we consider a class of kicked XY models similar to the integrable kicked Ising model, again satisfying $v_{B}=1$, highlighting that maximal butterfly velocity is not exclusive to dual-unitary circuits.
