Finite-difference time-domain formulation of stochastic noise in macroscopic atomic systems

TL;DR

This paper introduces a finite-difference time-domain numerical model incorporating stochastic noise to simulate atomic fluctuations, enabling detailed studies of light-matter interactions and transient phenomena in complex systems.

Contribution

The paper develops a novel FDTD-based approach with stochastic noise for simulating atomic dephasing and decay, advancing modeling capabilities in quantum optics.

Findings

Successfully simulated atomic superfluorescence.

Demonstrated the model's ability to study stochastic effects.

Enabled analysis of light-matter interactions without mode pre-knowledge.

Abstract

A numerical model based on the finite-difference time-domain method is developed to simulate fluctuations which accompany the dephasing of atomic polarization and the decay of excited state's population. This model is based on the Maxwell-Bloch equations with c-number stochastic noise terms. We successfully apply our method to a numerical simulation of the atomic superfluorescence process. This method opens the door to further studies of the effects of stochastic noise on light-matter interaction and transient processes in complex systems without prior knowledge of modes.