Coarse-Grained Picture for Controlling Quantum Chaos

Details Coarse-Grained Picture for Controlling Quantum Chaos Coarse-Grained Picture for Controlling Quantum Chaos

2004-02-04

arxiv.org/abs/nlin/0402005v3

Adv. Chem. Phys. 130A, 435 (2005)

Nonlinear Sciences

Chaotic Dynamics

REVTeX4 with graphicx package, 11 pages, 10 figures; replaced fig.1(a) and 2(a)

Scientific paper

10.1002/0471712531.ch9

We propose a coarse-grained picture to analyze control problems for quantum chaos systems. Using optimal control theory, we first show that almost perfect control is achieved for random matrix systems and a quantum kicked rotor. Second, under the assumption that the controlled dynamics is well described by a Rabi-type oscillaion between unperturbed states, we derive an analytic expression for the optimal field. Finally we numerically confirm that the analytic field can steer an initial state to a target state in random matrix systems.

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