Approximate controllability by adiabatic methods of the Schrodinger equation with nonlinear Hamiltonian.

被引：0
|
作者：
Chittaro, Francesca Carlotta [1 ,2 ]
Mason, Paolo [3 ]
机构：
[1] Aix Marseille Univ, CNRS, ENSAM, LSIS UMR 7296, F-13397 Marseille, France
[2] Univ Toulon & Var, CNRS, LSIS UMR 7296, F-83957 La Garde, France
[3] Univ Paris Sud, CNRS, Cent Supelec, L2S,UMR 8506, F-91192 Gif Sur Yvette, France
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider quantum systems described by a controlled Schrodinger equation, where the Hamiltonian depends smoothly on three external inputs. We use adiabatic techniques to provide a constructive controllability result in some portion of the discrete spectrum, provided that it is conically connected. The case of Schrodinger Hamiltonians with electromagnetic fields fits the nonlinear setting studied in this paper.
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页码：7771 / 7776
页数：6
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