On optimum Hamiltonians for state transformations

被引:70
作者
Brody, DC [1 ]
Hook, DW [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, London SW7 2BZ, England
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 11期
关键词
D O I
10.1088/0305-4470/39/11/L02
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For a prescribed pair of quantum states vertical bar psi(1)> and vertical bar psi(F)> we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates the unitary transformation vertical bar psi(1)> -> vertical bar psi(F)> in the shortest duration. The derivation is geometric in character and does not rely on variational calculus.
引用
收藏
页码:L167 / L170
页数:4
相关论文
共 6 条
[1]   GEOMETRY OF QUANTUM EVOLUTION [J].
ANANDAN, J ;
AHARONOV, Y .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1697-1700
[2]  
BOSCAIN U, 2005, QUANTPH0512074
[3]   Elementary derivation for passage times [J].
Brody, DC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (20) :5587-5593
[4]   Geometric quantum mechanics [J].
Brody, DC ;
Hughston, LP .
JOURNAL OF GEOMETRY AND PHYSICS, 2001, 38 (01) :19-53
[5]   Time-optimal quantum evolution - art. no. 060503 [J].
Carlini, A ;
Hosoya, A ;
Koike, T ;
Okudaira, Y .
PHYSICAL REVIEW LETTERS, 2006, 96 (06)
[6]  
Hughston L. P., 1995, Twistor Theory