2009/03/30 by Alberto Castro, E. K. U. Gross, Castro, Alberto +1
Computer Science · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.0903.5106
arxiv created 2009/03/30 · openalex publication_date 2009/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.