Quantum environment-induced dissipative and fluctuated dynamics of a charged particle in a semiclassical field
摘要
This study investigates the dissipative and fluctuating dynamics of a charged particle interacting with a quantum electromagnetic environment. By deriving the equations governing the electron’s displacement, we clarify how environmental coupling gives rise to both damping forces and stochastic fluctuations. Within this framework, we compute central dynamical quantities—including the variances of the electron’s velocity and position, as well as the net energy exchanged with the surrounding environment—under the assumption of Gaussian environmental statistics.
The approach developed here is sufficiently general to accommodate environments characterized by non-Gaussian or arbitrary probability distributions, in both classical and quantum regimes. This broader formulation provides a versatile foundation for future studies on open quantum systems, especially those aimed at understanding fluctuation–dissipation mechanisms in complex or engineered environments.