English

Lindblad approximation and spin relaxation in quantum electrodynamics

Mathematical Physics 2020-06-24 v1 math.MP

Abstract

This article is concerned with the time evolution of a 12\frac{1}{2}-spin particle in a constant external magnetic field with the quantized electromagnetic field (photons). We derive a Lindblad (or GKLS) type approximation of the spin dynamics together with a precise control of the error coming from this approximation. The error term is bounded by g2g^2 where gg is the coupling constant of the spin-photon interaction. The point here is the uniformity in time t>0t>0 of this error control.

Keywords

Cite

@article{arxiv.1911.10481,
  title  = {Lindblad approximation and spin relaxation in quantum electrodynamics},
  author = {Laurent Amour and Jean Nourrigat},
  journal= {arXiv preprint arXiv:1911.10481},
  year   = {2020}
}
R2 v1 2026-06-23T12:25:26.247Z