Non-Hermitian propagation of Hagedorn wavepackets
Mathematical Physics
2018-02-13 v3 math.MP
Numerical Analysis
Abstract
We investigate the time evolution of Hagedorn wavepackets by non-Hermitian quadratic Hamiltonians. We state a direct connection between coherent states and Lagrangian frames. For the time evolution a multivariate polynomial recursion is derived that describes the activation of lower lying excited states, a phenomenon unprecedented for Hermitian propagation. Finally we apply the propagation of excited states to the Davies--Swanson oscillator.
Keywords
Cite
@article{arxiv.1507.02858,
title = {Non-Hermitian propagation of Hagedorn wavepackets},
author = {Caroline Lasser and Roman Schubert and Stephanie Troppmann},
journal= {arXiv preprint arXiv:1507.02858},
year = {2018}
}
Comments
34 pages, 1 figure