English

Coarse-Grained Picture for Controlling Complex Quantum Systems

Chaotic Dynamics 2007-05-23 v2 Chemical Physics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0402003,
  title  = {Coarse-Grained Picture for Controlling Complex Quantum Systems},
  author = {Toshiya Takami and Hiroshi Fujisaki},
  journal= {arXiv preprint arXiv:nlin/0402003},
  year   = {2007}
}

Comments

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