Timing quantum emission: coherence, superradiance, and entanglement in order

TL;DR

This paper explores the temporal sequence of coherence, superradiance, and entanglement in quantum emitters, revealing a hierarchy where coherence develops first, followed by emission and entanglement, with implications for quantum information processing.

Contribution

It provides a detailed analysis of the temporal hierarchy and interplay of coherence, superradiance, and entanglement in quantum emitters based on Dicke's framework.

Findings

Relative coherence develops first

Superradiant emission peaks after coherence

Entanglement is minimal during peak emission

Abstract

We investigate the short-term temporal dynamics of superradiance in closely spaced quantum emitters. Building on Dicke's 1954 framework, we analyze the sequential emergence of coherence, superradiance, and entanglement, revealing a distinct temporal hierarchy in their extremal values: relative coherence develops first, followed by the peak of correlated emission, then minimal entanglement, and finally correlated dephasing. These findings suggest that enhanced relative coherence initiates correlated emission and when correlated dephasing is negligible, entanglement and correlated emission become tightly linked in time.