Classical and Quantum Stability of Branched Flow

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Liu, Bo^1,2,3

Department of Physics, Harvard University, Cambridge

MA

02138, United States^1

Institute for Applied Computational Science, Harvard University, Cambridge

MA

02138, United States^2

Center for Integrated Quantum Materials, Cambridge

MA

02138, United States^3

关键词: Chaotic nature;    Classical dynamics;    Electron trajectories;    Random potentials;    Small perturbations;    Strong stability;    Wave propagation in random media;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012037/pdf
DOI  :  10.1088/1742-6596/626/1/012037

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Branched flow is a universal phenomenon of wave propagation in random media. From a classical point of view, branched flow is the overall pattern of classical electron trajectories moving in a potential with randomly placed weak scatterers. Individually, each electron trajectory is exponentially unstable to small perturbations due to the chaotic nature of the classical dynamics of electrons moving in a random potential. However, the overall pattern, branched flow, displays strong stability against large perturbations. In this paper, we discuss both the classical and quantum stability of branched flow against perturbations.