Kinematical bounds on optimization of observables for quantum systems

被引:43
作者
Girardeau, MD [1 ]
Schirmer, SG
Leahy, JV
Koch, RM
机构
[1] Univ Oregon, Dept Phys, Eugene, OR 97403 USA
[2] Univ Oregon, Inst Theoret Sci, Eugene, OR 97403 USA
[3] Univ Oregon, Inst Phys Chem, Eugene, OR 97403 USA
[4] Univ Oregon, Dept Math, Eugene, OR 97403 USA
[5] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源
PHYSICAL REVIEW A | 1998年 / 58卷 / 04期
关键词
D O I
10.1103/PhysRevA.58.2684
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Upper and lower kinematical bounds for the expectation values of arbitrary observables of driven quantum systems in mixed states are derived, and criteria for their attainability established. The results are applied to the problem of maximizing the energy of a laser-driven four-level Morse oscillator model for HF, as well as a four-level harmonic-oscillator model. [S1050-2947(98)01510-8].
引用
收藏
页码:2684 / 2689
页数:6
相关论文
共 6 条
[1]   EFFICIENT MOLECULAR DISSOCIATION BY A CHIRPED ULTRASHORT INFRARED-LASER PULSE [J].
CHELKOWSKI, S ;
BANDRAUK, AD ;
CORKUM, PB .
PHYSICAL REVIEW LETTERS, 1990, 65 (19) :2355-2358
[2]   Kinematical bounds on evolution and optimization of mixed quantum states [J].
Girardeau, MD ;
Ina, M ;
Schirmer, S ;
Gulsrud, T .
PHYSICAL REVIEW A, 1997, 55 (03) :R1565-R1568
[3]  
INA M, 1996, THESIS U OREGON
[4]   CONTROL-SYSTEMS ON LIE GROUPS [J].
JURDJEVIC, V ;
SUSSMANN, HJ .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (02) :313-+
[5]   CONTROLLABILITY OF MOLECULAR-SYSTEMS [J].
RAMAKRISHNA, V ;
SALAPAKA, MV ;
DAHLEH, M ;
RABITZ, H ;
PEIRCE, A .
PHYSICAL REVIEW A, 1995, 51 (02) :960-966
[6]   COHERENT CONTROL OF QUANTUM DYNAMICS - THE DREAM IS ALIVE [J].
WARREN, WS ;
RABITZ, H ;
DAHLEH, M .
SCIENCE, 1993, 259 (5101) :1581-1589