The exponential laws for emission and decaying of entangled atoms

TL;DR

This paper investigates the exponential decay laws of photon emission and disentanglement in entangled atomic systems, extending the theory to different particle types and analyzing how entanglement influences emission characteristics.

Contribution

It introduces a generalized theoretical framework for emission and disentanglement in entangled atoms, including fermionic systems and emission distribution modifications due to entanglement.

Findings

Photon emission and disentanglement follow exponential laws.

Entanglement modifies atomic emission distributions.

Symmetries of fermionic wave functions are characterized.

Abstract

The first photon emission and the disentanglement of a pair of identical bosonic atoms in excited entangled states follow an exponential law. We extend the theory to distinguishable and identical fermionic two-atom systems. As a byproduct of the analysis we determine the symmetries of the fermionic wave function. We also derive the emission distributions of excited atoms in product states, which must take into account the presence of simultaneous detections. Comparing both distributions reveals a direct manifestation of the modifications induced by entanglement on the atomic emission properties.