Nonadiabatic noncyclic geometric phase of a spin-1/2 particle subject to an arbitrary magnetic field
Nonadiabatic noncyclic geometric phase of a spin-1/2 particle subject to an arbitrary magnetic field
复制标题
DOI：
10.1103/physrevb.61.1142
复制
发表时间：
2000-01
影响因子：
3.7
通讯作者：
Shi-Liang Zhu;Z. D. Wang;Yongshan Zhang
中科院分区：
文献类型：
--
作者：
Shi-Liang Zhu;Z. D. Wang;Yongshan Zhang
本文导出了自旋为1/2的量子粒子在任意磁场作用下的非绝热非循环Pancharatnam相位公式。该公式适用于三种特定的磁场。(i)对于定向磁场，潘查拉特南相位精确地导出。(ii)对于旋转磁场，演化方程解析求解。精确地得到了Aharonov-Anandan位相，并对Pancharatnam位相进行了数值计算。(iii)提出了一种一维介观环在面内磁场作用下的拓扑转变，并讨论了非绝热非循环效应对这种现象的影响。
We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a quantum spin-1/2 particle subject to an arbitrary magnetic field. The formula is applied to three specific kinds of magneic fields. (i) For an orientated magnetic field, the Pancharatnam phase is derived exactly. (ii) For a rotating magnetic field, the evolution equation is solved analytically. The Aharonov-Anandan phase is obtained exactly and the Pancharatnam phase is computed numerically. (iii) We propose a kind of topological transition in one-dimensional mesoscopic ring subject to an in-plane magnetic field, and then address the nonadiabatic noncyclic effect on this phenomenon.