Coarse-Grained Picture for Controlling Quantum Chaos
混沌动力学
2007-05-23 v3 化学物理
量子物理
摘要
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.
引用
@article{arxiv.nlin/0402005,
title = {Coarse-Grained Picture for Controlling Quantum Chaos},
author = {Toshiya Takami and Hiroshi Fujisaki and Takayuki Miyadera},
journal= {arXiv preprint arXiv:nlin/0402005},
year = {2007}
}
备注
REVTeX4 with graphicx package, 11 pages, 10 figures; replaced fig.1(a) and 2(a)