On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space
Optimization and Control
2014-12-15 v1 Quantum Physics
Abstract
We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrative examples, we consider the cases of a rigid rotor and of a harmonic oscillator.
Keywords
Cite
@article{arxiv.1412.3913,
title = {On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space},
author = {Elie Assémat and Thomas Chambrion and Dominique Sugny},
journal= {arXiv preprint arXiv:1412.3913},
year = {2014}
}
Comments
Journal of Mathematical Chemistry, Springer Verlag (Germany), 2014