Perturbative formulation of optimal control for two-photon transitions: Reduction to an eigenvalue problem

Valery Dubov, Herschel Rabitz

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

An alternative perturbative formulation is introduced to reduce the task of designing optimal controls of molecular motion. The method provides multiple optimal control fields as eigenvectors corresponding to the positive eigenvalues of a matrix [Formula Presented]. Analytical equations for the matrix elements [Formula Presented] are derived. Numerical examples are given for simple three- and four-state molecular systems. The method is shown to be computationally simple and efficient in providing good quality control results.

Original languageEnglish (US)
Pages (from-to)710-716
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume54
Issue number1
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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