Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems
Optimization and Control
2019-09-06 v1 Mathematical Physics
math.MP
Abstract
We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersections of eigenvalues can degenerate into semi-conical intersections of eigenvalues. Then, through the use of normal forms, we study the problem of ensemble controllability between the eigenstates of a generic Hamiltonian.
Cite
@article{arxiv.1909.02271,
title = {Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems},
author = {Nicolas Augier and Ugo Boscain and Mario Sigalotti},
journal= {arXiv preprint arXiv:1909.02271},
year = {2019}
}