论文标题
量子协变量衍生物
Quantum covariant derivative
论文作者
论文摘要
引入了能够区分和平行运输切线向量和其他由参数依赖性量子状态引起的几何对象的协变量。事实证明，它在量规和坐标转换下是协方差，并且与量子几何张量兼容。量子协变量用于得出仪表和坐标不变的绝热扰动理论，为计算非线性绝热响应特性提供了有效的工具。
The covariant derivative capable of differentiating and parallel transporting tangent vectors and other geometric objects induced by a parameter-dependent quantum state is introduced. It is proved to be covariant under gauge and coordinate transformations and compatible with the quantum geometric tensor. The quantum covariant derivative is used to derive a gauge- and coordinate-invariant adiabatic perturbation theory, providing an efficient tool for calculations of nonlinear adiabatic response properties.
