# Many-body cooperative effects in an ensemble of point-like impurity centers near a charged conductive surface

## TL;DR

This paper investigates how a charged conductive surface influences cooperative dipole-dipole interactions and emission properties in an ensemble of impurity centers, revealing modifications to Lamb shifts and decay behaviors.

## Contribution

It introduces a quantum microscopic model to analyze the combined effects of surface-modified field modes and electric fields on cooperative phenomena near a conducting surface.

## Key findings

- Electric field alters the cooperative Lamb shift.
- Surface effects modify sub- and superradiant decay characteristics.
- Distinct differences from free-space atomic ensembles are demonstrated.

## Abstract

On the basis of a quantum microscopic approach we study the cooperative effects induced by the dipole-dipole interaction in an ensemble of point-like impurity centers located near a charged perfectly conducting surface. We analyze the simultaneous influence of the modified spatial structure of field modes near the conductive surface and the electric field on the transition spectrum of an excited atom inside an ensemble and on the radiation trapping. We show that the electric field modifies the cooperative Lamb shift, as well as the character of sub- and superradiant decay. We also demonstrate that these modifications differ from those taking place in the case of atomic ensembles in free space, without conducting surface.