Abstract
The authors investigate the geometric phase of a spin-J system interacting with a classical magnetic field which contains a fluctuating component. Assuming an Ornstein–Uhlenbeck process for the fluctuations, we find that the distribution due to the fluctuating component for the geometric phase is a Gaussian. We calculate in detail the variance of geometric and dynamic phases. The results clearly show that the geometric phase can reduce the fluctuations, but the dynamic phase can not.
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