Propagation of Coherent States through Conical Intersections
Abstract
In this paper, we analyze the propagation of a wave packet through a conical intersection. This question has been addressed for Gaussian wave packets in the 90s by George Hagedorn and we consider here a more general setting. We focus on the case of Schr{\"o}dinger equation but our methods are general enough to be adapted to systems presenting codimension 2 crossings and to codimension 3 ones with specific geometric conditions. Our main Theorem gives explicit transition formulas for the profiles when passing through a conical crossing point, including precise computation of the transformation of the phase. Its proof is based on a normal form approach combined with the use of superadiabatic projectors and the analysis of their degeneracy close to the crossing.
Keywords
Cite
@article{arxiv.2112.11784,
title = {Propagation of Coherent States through Conical Intersections},
author = {Clotilde Fermanian Kammerer and Stephanie Gamble and Lysianne Hari},
journal= {arXiv preprint arXiv:2112.11784},
year = {2023}
}