Analytic Approach for Controlling Quantum States in Complex Systems

Details Analytic Approach for Controlling Quantum States in Complex Systems Analytic Approach for Controlling Quantum States in Complex Systems

2007-01-29

arxiv.org/abs/nlin/0701056v1

Phys. Rev. E75, 036219 (2007)

Nonlinear Sciences

Chaotic Dynamics

12 pages, 8 figures, formatted by REVTeX-4, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.75.036219

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 (2004) 3215-3216; Adv. Chem. Phys. 130A (2005) 435-458], 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 wavpacket 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.

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