Tripathy Devjyoti, Touil Akram, Gardas Bartłomiej, Deffner Sebastian
Department of Physics, University of Maryland, Baltimore County, Baltimore, Maryland 21250, USA.
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Chaos. 2024 Apr 1;34(4). doi: 10.1063/5.0199335.
It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that the dispersion of information also has to depend on the lattice geometry. In the present work, we demonstrate that two-dimensional lattices described by the Bose-Hubbard model exhibit information scrambling for systems as little as two hexagons. However, we also find that the out-of-time-ordered correlator (OTOC) shows the exponential decay characteristic for quantum chaos only for a judicious choice of local observables. More generally, the OTOC is better described by Gaussian-exponential convolutions, which alludes to the close similarity of information scrambling and decoherence theory.
一个广为人知的事实是，晶格中激发的传输与底层结构密切相关。因此，自然而然地可以认识到，信息的色散也必须取决于晶格几何结构。在本工作中，我们证明了由玻色-哈伯德模型描述的二维晶格对于仅由两个六边形组成的系统就表现出信息扰乱现象。然而，我们还发现，只有在明智地选择局部可观测量时，时间反序关联函数（OTOC）才呈现出量子混沌的指数衰减特征。更一般地说，OTOC 可以用高斯-指数卷积更好地描述，这暗示了信息扰乱与退相干理论之间的紧密相似性。
