# Ground state photon number at large distance

## TL;DR

This paper investigates the spatial localization of photons in the ground state of a quantum electrodynamics Hamiltonian modeling nuclear magnetic resonance, revealing a specific power-law decay and directional dependence.

## Contribution

It provides the first detailed asymptotic analysis of photon density decay at large distances in this quantum system.

## Key findings

- Photon density decays as the power -5 of the distance from particles.
- Photon number at large distances is minimized along the total mean spin direction.
- The results offer insights into photon localization in quantum electrodynamics models.

## Abstract

The purpose of this article is to give a result of localization in space of the ground states photons, in some sense, of a Hamiltonian modelling nuclear magnetic resonance in quantum electrodynamics. The asymptotics at infinity obtained for the density of the number of photons around x is the power -5 of the distance of x to the particles. Moreover, the number of photons at large distance is smallest in the ground state total mean spin direction.