Quantum radiative corrections for a model in NMR in quantum electrodynamics

TL;DR

This paper derives explicit quantum radiative corrections for a spin model in quantum electrodynamics related to NMR, clarifying the quantum-classical transition and analyzing transition probabilities.

Contribution

It provides the first explicit quantum radiative corrections for a spin model in QED related to NMR, linking quantum dynamics to semiclassical Bloch equations.

Findings

Explicit quantum radiative corrections for spin and field observables

Demonstration that Bloch equations are the semiclassical limit

Analysis of transition probabilities in the model

Abstract

In this article, we are interested in a spin model including the quantized electromagnetic field (photons). With this model of quantum electrodynamics (QED) related to nuclear magnetic resonance (NMR) we give explicit quantum radiative corrections of the time evolution for the spin observables, for the electric and magnetic fields observables and for the photon number observable. As a by-product, this underlines that Bloch equations are the semiclassical limit of the model in QED considered here. In addition, transition probabilities for the same model are investigated.