论文标题
OTOC的放松指数，并与当地的汉密尔顿人重叠
Relaxation exponents of OTOCs and overlap with local Hamiltonians
论文作者
论文摘要
OTOC已用于表征量子系统中的信息。最近的研究表明，局部保守数量在管理非整合系统中OTOC的松弛动力学方面起着至关重要的作用。特别是，对于与局部保守量重叠的可观察到的可观察到的OTOC的慢速争夺。但是，可观察到的可能与哈密顿量没有重叠，而是哈密顿量升高到大于一个的指数。在这里，我们表明，较高的指数对应于更快的放松，尽管仍然代数，并且指数可以无限期增加。我们的分析结果由数值实验支持。
OTOC has been used to characterize the information scrambling in quantum systems. Recent studies showed that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In particular, slow scrambling of OTOC is seen for observables that has an overlap with local conserved quantities. However, an observable may not overlap with the Hamiltonian, but with the Hamiltonian elevated to an exponent larger than one. Here, we show that higher exponents correspond to faster relaxation, although still algebraic, and with exponents that can increase indefinitely. Our analytical results are supported by numerical experiments.
