Nonadiabatic Berry's phase for a spin particle in a rotating magnetic field.
Nonadiabatic Berry's phase for a spin particle in a rotating magnetic field.
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DOI：
10.1103/physreva.42.5107
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发表时间：
1990-11
期刊：
影响因子：
--
通讯作者：
Shun-Jin Wang
中科院分区：
文献类型：
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作者：
Shun-Jin Wang
采用曲柄法解析求解旋转磁场中自旋粒子的时变薛定格方程，并利用其精确解来研究非绝热Berry相。给出了Berry相的另一种表达式，表明Berry相与沿旋转轴的自旋期望值有关，并给出了Berry相除规范几何解释之外的物理解释。该表达式还给出了计算非绝热Berry相的简单算法。哈密顿量的贝里相位是 SU(2) 发生器的非线性函数。结果表明，非绝热性改变了时间演化射线，进而改变了其贝里相位。对于 SU(2) 动力学群，贝里相位的非绝热效应表现为自旋对准（核物理中的一种现象），而自旋对准量子化（最近在高自旋核物理中观察到）与贝里相位相关。量化。
The time-dependent Schr\"odinger equation for a spin particle in a rotating magnetic field is solved analytically by the cranking method, and the exact solutions are employed to study the nonadiabatic Berry's phase. An alternative expression for Berry's phase is given, which shows that Berry's phase is related to the expectation value of spin along the rotating axis and gives Berry's phase a physical explanation besides its gauge geometric interpretation. This expression also presents a simple algorithm for calculating the nonadiabatic Berry's phase for Hamiltonians that are nonlinear functions of the SU(2) generators. It is shown that nonadiabaticity alters the time evolution ray and in turn changes its Berry's phase. For the SU(2) dynamical group, the nonadiabatic effect on Berry's phase manifests itself as spin alignment (a phenomenon in nuclear physics), and spin-alignment quantization (observed recently in high-spin nuclear physics) is related to Berry's-phase quantization.