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 -