Acceleration of quantum optimal control theory algorithms with mixing strategies

Alberto Castro*, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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 nonlinear equations of QOCT can be viewed as a "fixed-point" nonlinear problem. The iterative algorithms for this class of problems may benefit from mixing strategies, as it happens, e.g., in the quest for the ground-state density in Kohn-Sham density-functional theory. We demonstrate, with some numerical examples, how the same mixing schemes utilized in this latter nonlinear problem may significantly accelerate the QOCT iterative procedures.

Original languageAmerican English
Article number056704
JournalPhysical Review E
Volume79
Issue number5
DOIs
StatePublished - 15 May 2009
Externally publishedYes

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