Exchange of Photons between Two Atoms in a 1D Waveguide. Gauge Dependent and Independent Couplings

Authors

S. Derouault, Laboratoire Collisions Agr´egats Ractivit´e, C.N.R.S. UMR 5589, IRSAMC, Universit´e Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex 4, FranceFollow
M. A. Bouchene, Laboratoire Collisions Agr´egats Ractivit´e, C.N.R.S. UMR 5589, IRSAMC, Universit´e Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex 4, FranceFollow

Author Country (or Countries)

France

Abstract

Two atoms located in a one dimensional waveguide with initially one of them in the excited state interact by exchanging photons. We analyze the exchange process distinguishing between real and virtual photons contributions, and comparing between the Coulomb and Goeppert-Mayer gauges. We show that gauge-independent coupling terms can be interpreted in a simple way using the time-energy incertitude relation

Recommended Citation

Derouault, S. and A. Bouchene, M. (2023) "Exchange of Photons between Two Atoms in a 1D Waveguide. Gauge Dependent and Independent Couplings," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 27.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/27