揭示SYK失超动力学中的算子增长
Unveiling operator growth in SYK quench dynamics
摘要：
我们研究非平衡动力学引起的突然淬火的强相关哈密顿与所有的相互作用。通过依赖于一个Sachdev-Ye-Kitaev（SYK）的淬火协议，我们表明，简单的自旋-自旋关联函数的时间演化是高度敏感的程度，相应的运营商的本地化，一旦一组适当的基本字段被确定。通过跟踪特定自旋-自旋关联函数的时间演化及其衰减，我们认为可以区分算子跳跃和算子增长动力学;后者是多体量子系统中量子混沌的标志。这样的观察，反过来，可以构成一个有前途的工具来探测混沌行为的出现，而在国家的最先进的淬火设置访问。
英文摘要：
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.
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