Singular extremals for the time-optimal control of dissipative spin 1/2 particles
Quantum Physics
2010-03-02 v1 Chemical Physics
Abstract
We consider the time-optimal control by magnetic fields of a spin 1/2 particle in a dissipative environment. This system is used as an illustrative example to show the role of singular extremals in the control of quantum systems. We analyze a simple case where the control law is explicitly determined. We experimentally implement the optimal control using techniques of nuclear magnetic resonance. To our knowledge, this is the first experimental demonstration of singular extremals in quantum systems with bounded control amplitudes.
Keywords
Cite
@article{arxiv.1003.0288,
title = {Singular extremals for the time-optimal control of dissipative spin 1/2 particles},
author = {M. Lapert and Y. Zhang and M. Braun and S. J. Glaser and D. Sugny},
journal= {arXiv preprint arXiv:1003.0288},
year = {2010}
}
Comments
10 pages, 3 figures