Periodic excitations of bilinear quantum systems

Details Periodic excitations of bilinear quantum systems Periodic excitations of bilinear quantum systems

2011-03-06

arxiv.org/abs/1103.1130v4

Mathematics

Optimization and Control

9 pages

Scientific paper

A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends this finite dimensional result, known as the Rotating Wave Approximation, to infinite dimensional systems and provides explicit convergence estimates.

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