INVARIANTS AND GEOMETRIC PHASE FOR SYSTEMS WITH NON-HERMITIAN TIME-DEPENDENT HAMILTONIANS

被引:38
|
作者
GAO, XC
XU, JB
QIAN, TZ
机构
[1] CHINESE CTR ADV SCI & TECHNOL, WORLD LAB, BEIJING, PEOPLES R CHINA
[2] CHINESE ACAD SCI, INST THEORET PHYS, BEIJING, PEOPLES R CHINA
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 07期
关键词
D O I
10.1103/PhysRevA.46.3626
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, the Lewis-Riesenfeld invariant theory is generalized for the study of systems with non-Hermitian time-dependent Hamiltonians. It is then used to study the nonadiabatic cyclic evolution and the Aharonov-Anandan phase. It is shown that the study of noncyclic evolution can be reduced to the study of cyclic evolution. The two-level dissipative system and the classical time-dependent harmonic oscillator are discussed as illustrative examples.
引用
收藏
页码:3626 / 3630
页数:5
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