Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling

被引：41

作者：

Coron, Jean-Michel ^{[2
]}

Grigoriu, Andreea ^{[1
]}

Lefter, Catalin ^{[3
,4
]}

Turinici, Gabriel ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, F-75016 Paris, France

[2] Univ Paris 06, Lab Jacques Louis Lions, F-75013 Paris, France

[3] Univ Alexandru Ioan Cuza, Fac Math, Iasi 700506, Romania

[4] Romanian Acad, Octav Mayer Inst Math, Iasi 700505, Romania

来源：

NEW JOURNAL OF PHYSICS | 2009年 / 11卷

关键词：

ASYMPTOTIC CONTROLLABILITY; MECHANICAL SYSTEMS; STABILIZATION; SELECTIVITY; MOLECULES;

D O I：

10.1088/1367-2630/11/10/105034

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we analyze the Lyapunov trajectory tracking of the Schrodinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show numerically that the contribution of the quadratic part cannot be exploited by standard trajectory tracking tools and propose two improvements: discontinuous feedback and periodic (time-dependent) feedback. For both cases we present theoretical results and support them by numerical illustrations.

引用

页数：22

共 36 条

[1] Controllability of quantum mechanical systems by root space decomposition of su(N) [J].