Analytic Approach for Controlling Realistic Quantum Chaotic Systems

Details Analytic Approach for Controlling Realistic Quantum Chaotic Systems Analytic Approach for Controlling Realistic Quantum Chaotic Systems

2007-07-18

arxiv.org/abs/0707.2624v1

AIP Conf. Proc. 963, 821-824 (2007)

Nonlinear Sciences

Chaotic Dynamics

4 pages with 4 PostScript figures, to appear in the Proceedings of ICCMSE 2007 in a section of Symposium 8 "Quantum Control an

Scientific paper

10.1063/1.2836218

An analytic approach for controlling quantum states, which was originally applied to fully random matrix systems [T. Takami and H. Fujisaki, Phys. Rev. E 75, 036219 (2007)], is extended to deal with more realistic quantum systems with a banded random matrix (BRM). The validity of the new analytic field is confirmed by directly solving the Schroedinger equation with a BRM interaction. We find a threshold of the width of the BRM for the quantum control to be successful.

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