Generation of entanglement density within a reservoir

TL;DR

This paper introduces a method to quantify and analyze the distribution of entanglement between a two-level atom and a reservoir of modes, providing insights into atom-reservoir and reservoir-reservoir entanglement dynamics.

Contribution

It defines a novel density of entanglement for a continuum of reservoir modes, enabling detailed analysis of entanglement distribution in atom-reservoir systems.

Findings

Density of entanglement derived for single excitation

Quantifies atom-reservoir entanglement

Analyzes reservoir-reservoir entanglement

Abstract

We study a single two-level atom interacting with a reservoir of modes defined by its reservoir structure function. Within this framework we are able to define a density of entanglement involving a continuum of reservoir modes. The density of entanglement is derived for a system with a single excitation by taking a limit of the global entanglement. Utilizing the density of entanglement we quantify the entanglement between the atom and the modes, and also between the reservoir modes themselves.