Quantum-classical hybrids in a simplified model of QED and geometric phase induced by charged particle trajectory

TL;DR

This paper develops a quantum-classical hybrid model for a simplified QED system using the stochastic variational method, revealing how charged particle trajectories and gauge field phases are affected by their interaction.

Contribution

It introduces a novel hybrid modeling approach for QED that captures quantum-classical interactions and geometric phases, including backreaction effects.

Findings

Displacement current induced by quantum-classical interaction

Geometric phase in gauge field wave functional due to particle motion

Recovery of Berry's phase in the classical limit

Abstract

We derive a model of quantum-classical hybrids for a simplified model of quantum electrodynamics in the framework of the stochastic variational method. In this model, charged particle trajectories are affected by the interaction with quantized electromagnetic fields, and this quantum-classical interaction induces a displacement current. We further investigate a geometric phase in the wave functional of the gauge field configuration, which is induced by adiabatic motions of the charged particles. This phase contains the quantum-classical backreaction effect and usual Berry's phase is reproduced in the vanishing limit of the fluctuation of the charged particle trajectories.