参数噪声下几何相位的鲁棒性
Robustness of geometric phase under parametric noise
摘要：
我们研究了几何相位在参数噪声中的鲁棒性。为此，我们考虑一个简单的情况下研究，即一个半经典粒子的运动沿闭环静态磁场获得狄拉克相位。参数噪声来自与经典环境的相互作用，该经典环境向粒子所遵循的路径添加布朗分量。在定义了规范不变的狄拉克相位后，我们讨论了来自噪声轨道的狄拉克相位角分布的一阶矩和二阶矩。
英文摘要：
We study the robustness of geometric phase in the presence of parametric noise. For that purpose we consider a simple case study, namely a semiclassical particle which moves adiabatically along a closed loop in a static magnetic field acquiring the Dirac phase. Parametric noise comes from the interaction with a classical environment which adds a Brownian component to the path followed by the particle. After defining a gauge invariant Dirac phase, we discuss the first and second moments of the distribution of the Dirac phase angle coming from the noisy trajectory.
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