Analysis of Lyapunov Control for Hamiltonian Quantum Systems
Quantum Physics
2009-10-01 v1
Abstract
We present detailed analysis of the convergence properties and effectiveness of Lyapunov control design for bilinear Hamiltonian quantum systems based on the application of LaSalle's invariance principle and stability analysis from dynamical systems and control theory. For a certain class of Hamiltonians, strong convergence results can be obtained for both pure and mixed state systems. The control Hamiltonians for realistic physical systems, however, generally do not fall in this class. It is shown that the effectiveness of Lyapunov control design in this case is significantly diminished.
Keywords
Cite
@article{arxiv.0805.2882,
title = {Analysis of Lyapunov Control for Hamiltonian Quantum Systems},
author = {Xiaoting Wang and Sonia Schirmer},
journal= {arXiv preprint arXiv:0805.2882},
year = {2009}
}
Comments
7 pages, no figures, mainly a concise summary of 0701.0702