论文标题
在Syk淬灭动力学中揭示操作员的增长
Unveiling operator growth in SYK quench dynamics
论文作者
论文摘要
我们研究了与全面相互作用的强烈相关的汉密尔顿人突然淬火引起的非平衡动力学。通过依靠基于Sachdev-Ye-Kitaev（SYK）的淬火协议，我们表明，一旦确定了一组适当的基本磁场，简单自旋旋转相关函数的时间演变对相应运算符的位置程度高度敏感。通过跟踪特定自旋旋转相关函数及其衰减的时间进化，我们认为可以区分操作员跳跃和操作员生长动态。后者是多体量子系统中量子混乱的标志。反过来，这种观察可能构成一种有前途的工具来探测混乱行为的出现，这在最新的淬火设置中可以访问。
We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK) based quench protocol, we show that the time evolution of simple spin-spin correlation functions is highly sensitive to the degree of locality of the corresponding operators, once an appropriate set of fundamental fields is identified. By tracking the time-evolution of specific spin-spin correlation functions and their decay, we argue that it is possible to distinguish between operator hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Such observation, in turn, could constitute a promising tool to probe the emergence of chaotic behavior, rather accessible in state-of-the-art quench setups.
