Acceleration of quantum optimal control theory algorithms with mixing strategies
Computational Physics
2009-03-31 v1
Abstract
We propose the use of mixing strategies to accelerate the convergence of the common iterative algorithms utilized in Quantum Optimal Control Theory (QOCT). We show how the non-linear equations of QOCT can be viewed as a "fixed-point" non-linear problem. The iterative algorithms for this class of problems may benefit from mixing strategies, as it happens, e.g. in the quest for th ground-state density in Kohn-Sham density functional theory. We demonstrate, with some numerical examples, how the same mixing schemes utilized in this latter non-linear problem, may significantly accelerate the QOCT iterative procedures.
Cite
@article{arxiv.0903.5106,
title = {Acceleration of quantum optimal control theory algorithms with mixing strategies},
author = {Alberto Castro and E. K. U. Gross},
journal= {arXiv preprint arXiv:0903.5106},
year = {2009}
}