Balachandran Vinitha, Poletti Dario
Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore.
EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore.
Entropy (Basel). 2022 Dec 28;25(1):59. doi: 10.3390/e25010059.
OTOC has been used to characterize the information scrambling in quantum systems. Recent studies have shown that local conserved quantities play a crucial role in governing the relaxation dynamics of OTOC in non-integrable systems. In particular, the slow scrambling of OTOC is seen for observables that have an overlap with local conserved quantities. However, an observable may not overlap with the Hamiltonian but instead with the Hamiltonian elevated to an exponent larger than one. Here, we show that higher exponents correspond to faster relaxation, although still algebraic, and such exponents can increase indefinitely. Our analytical results are supported by numerical experiments.
OTOC已被用于刻画量子系统中的信息扰频。最近的研究表明，局部守恒量在非可积系统中OTOC的弛豫动力学调控中起着关键作用。特别地，对于与局部守恒量有重叠的可观测量，会出现OTOC的缓慢扰频。然而，一个可观测量可能不与哈密顿量重叠，而是与提升到大于1的指数的哈密顿量重叠。在这里，我们表明更高的指数对应于更快的弛豫，尽管仍然是代数形式的，并且这样的指数可以无限增加。我们的分析结果得到了数值实验的支持。
