Reduced control dynamics for complex quantum systems

被引:4
作者
Botina, J
Rabitz, H
机构
[1] Department of Chemistry, Princeton University, Princeton, NJ
来源
PHYSICAL REVIEW A | 1997年 / 55卷 / 03期
关键词
D O I
10.1103/PhysRevA.55.1634
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A reduced dimensional control dynamics formulation is presented for an arbitrary number of degrees of freedom. The traditional control feedback partial differential equation now becomes a small set of ordinary differential equations amenable to efficient numerical solution. This approach is capable of. finding optimal solutions with only a few feedback iterations, thereby dramatically reducing the effort to obtain control designs. As an example, the reduced formalism is applied to selective dissociation of a triatomic molecule.
引用
收藏
页码:1634 / 1638
页数:5
相关论文
共 14 条
[1]   A simplified approach to optimally controlled quantum dynamics [J].
Botina, J ;
Rabitz, H ;
Rahman, N .
JOURNAL OF CHEMICAL PHYSICS, 1996, 104 (11) :4031-4040
[2]  
BOTINA J, UNPUB
[3]   LASER CONTROL OF MOLECULAR PROCESSES [J].
BRUMER, P ;
SHAPIRO, M .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1992, 43 :257-282
[4]   COMPETITIVE TRACKING OF MOLECULAR OBJECTIVES DESCRIBED BY QUANTUM-MECHANICS [J].
CHEN, Y ;
GROSS, P ;
RAMAKRISHNA, V ;
RABITZ, H ;
MEASE, K .
JOURNAL OF CHEMICAL PHYSICS, 1995, 102 (20) :8001-8010
[5]   DELTA-TARGET OPTIMAL-CONTROL OF MOLECULAR-DYNAMICS - APPLICATION TO A ROTATING DIATOMIC MOLECULE [J].
DUBOV, V ;
RABITZ, H .
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (19) :8412-8423
[6]   Perturbative formulation of optimal control for two-photon transitions: Reduction to an eigenvalue problem [J].
Dubov, V ;
Rabitz, H .
PHYSICAL REVIEW A, 1996, 54 (01) :710-716
[7]  
FLEIT MD, 1984, J CHEM PHYS, V80, P2578
[8]   FEMTOSECOND PULSE SHAPING, MULTIPLE-PULSE SPECTROSCOPY, AND OPTICAL CONTROL [J].
KAWASHIMA, H ;
WEFERS, MM ;
NELSON, KA .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1995, 46 :627-656
[9]   OPTIMAL-CONTROL OF STRONGLY DRIVEN QUANTUM-SYSTEMS - FULLY VARIATIONAL FORMULATION AND NONLINEAR EIGENFIELDS [J].
KIM, KG ;
GIRARDEAU, MD .
PHYSICAL REVIEW A, 1995, 52 (02) :R891-R894
[10]   WAVEPACKET DANCING - ACHIEVING CHEMICAL SELECTIVITY BY SHAPING LIGHT-PULSES [J].
KOSLOFF, R ;
RICE, SA ;
GASPARD, P ;
TERSIGNI, S ;
TANNOR, DJ .
CHEMICAL PHYSICS, 1989, 139 (01) :201-220