The Shannon entropy and avoided crossings in closed and open quantum billiards
Quantum Physics
2018-06-25 v2 Chaotic Dynamics
Abstract
The relation between the Shannon entropy and avoided crossings is investigated in dielectric microcavities. The Shannon entropy of probability density for eigenfunctions in an open elliptic billiard as well as a closed quadrupole billiard increases as the center of avoided crossing is approached. These results are opposite to those of atomic physics for electrons. It is found that the collective Lamb shift of the open quantum system and the symmetry breaking in the closed chaotic quantum system give equivalent effects to the Shannon entropy.
Keywords
Cite
@article{arxiv.1801.00914,
title = {The Shannon entropy and avoided crossings in closed and open quantum billiards},
author = {Kyu-Won Park and Songky Moon and Younghoon Shin and Jinuk Kim and Kabgyun Jeong and Kyungwon An},
journal= {arXiv preprint arXiv:1801.00914},
year = {2018}
}
Comments
7 pages, 5 figures