Rangi Chakradhar, Moreno Juana, Tam Ka-Ming
Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
Chaos. 2024 Jul 1;34(7). doi: 10.1063/5.0206420.
The out-of-time-order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory and coherent potential approximation combined with diagrammatic perturbation on the Schwinger-Keldysh contour to calculate the OTOC for correlated fermionic systems subjected to both random disorder and electron interaction. Our key finding is that random disorder enhances the OTOC decay in the Hubbard model for the metallic phase in the weakly interacting limit. However, the current limitation of our perturbative solver restricts the applicability to weak interaction regimes.
非时序关联函数（OTOC）是研究复杂系统中量子信息传播和混沌的有力工具。我们提出了一种方法，该方法采用非平衡动态平均场理论和相干势近似，并结合施温格 - 凯尔迪什轮廓上的图解微扰，来计算受随机无序和电子相互作用影响的关联费米子系统的OTOC。我们的关键发现是，在弱相互作用极限下，随机无序增强了哈伯德模型中金属相的OTOC衰减。然而，我们微扰求解器目前的局限性限制了其在弱相互作用区域的适用性。
