The Stark interaction of identical particles with vacuum electromagnetic field as quantum Poisson process suppressing collective spontaneous emission

TL;DR

This paper develops a quantum model incorporating the Stark interaction to analyze how it influences collective spontaneous emission, revealing effects like excitation conservation and superradiance suppression in dense ensembles of identical particles.

Contribution

It introduces a second-order Hamiltonian including the Stark interaction, showing its significant impact on ensemble dynamics and collective emission processes.

Findings

Stark interaction affects ensemble decay dynamics

Discovery of excitation conservation in dense ensembles

Suppression of superradiance in collective decay

Abstract

The effective Hamiltonian describing resonant interaction of an ensemble of identical quantum particles with a photon-free vacuum electromagnetic field has been obtained with allowance for the second-order terms over the coupling constant (the Stark interaction) by means of the perturbation theory on the basis of the unitary transformation of the system quantum state. It has been shown that in the Markov approximation the effective Hamiltonian terms of the first-order coupling constant are represented as the quantum Wiener process, whereas the second-order terms are expressed by the quantum Poisson process. In the course of investigation it was established that the Stark interaction played a significant role in the ensemble dynamics, thus influencing the collective spontaneous decay of the ensemble of an appreciably high number of identical particles. New fundamental effects have been discovered, i.e., the excitation conservation in a sufficiently dense ensemble of identical particles and superradiance suppression in the collective decaying process of an excited ensemble with the determined number of particles.