Geometrical phase factor for a non-Hermitian Hamiltonian (Erratum)
Geometrical phase factor for a non-Hermitian Hamiltonian (Erratum)
复制标题
非厄米哈密顿量的几何相位因子（勘误表）
DOI：
10.1209/0295-5075/13/3/002
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发表时间：
1990
期刊：
影响因子：
1.8
通讯作者：
J. Bellissard
中科院分区：
文献类型：
--
作者：
C. Miniatura;C. Sire;J. Baudon;J. Bellissard
在以前的论文中，测量与两个交叉能级相关的原子Berry相位已被建议作为原子干涉测量方法的可能测试。由于其中一个能级是辐射能级，本文分析了非厄米哈密顿量循环演化中的几何相因子。结果表明，对偶基的使用允许Berry结果的简单推广，并且除了在Hermitian情形中遇到的两个可能值（0，π）之外，几何相位可以取为中间值π/2甚至复值，而相应的量子态可以被置换.绝热近似的有效性进行了讨论，鉴于这种新的效果的可测量性。
In a previous paper, the measurement of an atomic Berry phase associated with two crossing levels has been suggested as a possible test for an atomic interferometry method. As one of the two levels involved is radiative, an analysis of geometrical phase factor arising in the cyclic evolution of a non-Hermitian Hamiltonian is undertaken here. It is shown that the use of the dual basis allows a simple generalization of Berry's results and that, in addition to the two possible values encountered in the Hermitian case (0, π), the geometrical phase can take on as intermediate value π/2 or even a complex value, whereas the corresponding quantum states may be permuted. The validity of the adiabatic approximation is discussed in view of the measurability of this new effect.