Coarse-Grained Picture for Controlling Complex Quantum Systems

Details Coarse-Grained Picture for Controlling Complex Quantum Systems Coarse-Grained Picture for Controlling Complex Quantum Systems

2004-02-02

arxiv.org/abs/nlin/0402003v2

J. Phys. Soc. Jpn. 73, 3215 (2004)

Nonlinear Sciences

Chaotic Dynamics

jpsj2.cls, 2 pages, 3 figure files; appear in J. Phys. Soc. Jpn. Vol.73, No.11 (Nov. 15, 2004)

Scientific paper

10.1143/JPSJ.73.3215

We propose a coarse-grained picture to control ``complex'' quantum dynamics, i.e., multi-level-multi-level transition with a random interaction. Assuming that optimally controlled dynamics can be described as a Rabi-like oscillation between an initial and final state, we derive an analytic optimal field as a solution to optimal control theory. For random matrix systems, we numerically confirm that the analytic optimal field steers an initial state to a target state which both contains many eigenstates.

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