TY - JOUR

T1 - Perturbative formulation of optimal control for two-photon transitions

T2 - Reduction to an eigenvalue problem

AU - Dubov, Valery

AU - Rabitz, Herschel

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevA.54.710

DO - 10.1103/PhysRevA.54.710

M3 - Article

AN - SCOPUS:0039961905

SN - 1050-2947

VL - 54

SP - 710

EP - 716

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 1

ER -