Notions of controllability for bilinear multilevel quantum systems

被引：164

作者：

Albertini, F ^{[1
]}

D'Alessandro, D

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35100 Padua, Italy

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 08期

关键词：

controllability; quantum mechanical systems;

D O I：

10.1109/TAC.2003.815027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we define four different notions of controllability of physical interest for multilevel quantum mechanical systems. These notions involve the possibility of driving the evolution operator as well as the state of the system. We establish the connections among these different notions as well as methods to verify controllability.

引用

页码：1399 / 1403

页数：5

共 29 条

[1] The Lie algebra structure and controllability of spin systems [J].

Albertini, F ;

D'Alessandro, D .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 350 (1-3) :213-235

[2] CONTROLLABILITY FOR DISTRIBUTED BILINEAR-SYSTEMS [J].

BALL, JM ;

MARSDEN, JE ;

SLEMROD, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (04) :575-597

[3] SOME REMARKS ABOUT LIE GROUPS TRANSITIVE ON SPHERES AND TORI [J].

BOREL, A .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (06) :580-587

[4]

Brockett R., 1973, SIAM J APPL MATH, V25

[5] Optimal control of two-level quantum systems [J].

D'Alessandro, D ;

Dahleh, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (06) :866-876

[6] Control of molecular motion [J].

Dahleh, M ;

Peirce, A ;

Rabitz, HA ;

Ramakrishna, V .

PROCEEDINGS OF THE IEEE, 1996, 84 (01) :7-15

[7] Two-frequency IR laser orientation of polar molecules. Numerical simulations for HCN [J].

Dion, CM ;

Bandrauk, AD ;

Atabek, O ;

Keller, A ;

Umeda, H ;

Fujimura, Y .

CHEMICAL PHYSICS LETTERS, 1999, 302 (3-4) :215-223

[8] Laser-induced alignment dynamics of HCN: Roles of the permanent dipole moment and the polarizability [J].

Dion, CM ;

Keller, A ;

Atabek, O ;

Bandrauk, AD .

PHYSICAL REVIEW A, 1999, 59 (02) :1382-1391

[9]

DIVINCENZO D, 1995, SCI, V270

[10]

Dynkin E.B., 1952, AM MATH SOC TRANSL 2, V6, P245

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