title: Analytic approach for controlling quantum states in complex systems.
abstract: We examine random matrix systems driven by an external field in view of optimal control theory (OCT). By numerically solving OCT equations, we can show that there exists a smooth transition between two states called "moving bases" which are dynamically related to initial and final states. In our previous work [J. Phys. Soc. Jpn. 73, 3215 (2004); Adv. Chem. Phys. 130A, 435 (2005)], they were assumed to be orthogonal, but in this paper, we introduce orthogonal moving bases. We can construct a Rabi-oscillation-like representation of a wave packet using such moving bases, and derive an analytic optimal field as a solution of the OCT equations. We also numerically show that the newly obtained optimal field outperforms the previous one.
authors.affiliation: Computing and Communications Center, Kyushu University, Fukuoka 812-8581, Japan.
authors.forename: Toshiya
authors.initials: T
authors.lastname: Takami
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Fujisaki