Photon emission from macroscopic currents

TL;DR

This paper explores the connection between classical Maxwell solutions and quantum photon states in near-field radiation, introducing generalized Glauber states to describe macroscopic emitters.

Contribution

It develops a framework linking classical radiation equations with quantum photon states via generalized Glauber states for macroscopic currents.

Findings

Established a method to describe near-field radiation using quantum states.

Connected classical Maxwell solutions with quantum photon emission.

Provided a new approach to model macroscopic emitters in quantum optics.

Abstract

Coherent states are a well-established tool of quantum optics to describe electromagnetic waves in terms of photons. However, they do not describe the near-field regime of radiation sources. Instead, we generically use classical solutions of Maxwell's equations to describe radiation in the near-field regime. The classical solutions provide linear relations between currents and emitted electromagnetic fields, whereas evolution of states at the quantum level proceeds through unitary time evolution operators involving photon operators. This begs questions how the classical radiation equations relate to unitary quantum evolution, and how we can describe macroscopic fields from antennas or magnetic coils in terms of elementary photons. The present paper answers both questions through the construction of generalized Glauber states for radiation emitters.