Analytical solutions for two-level systems with damping
Quantum Physics
2010-07-26 v1
Abstract
A method is proposed to transform any analytic solution of the Bloch equation into an analytic solution of the Landau-Lifshitz-Gilbert equation. This allows for the analytical description of the dynamics of a two level system with damping. This method shows that damping turns the linear Schr\"{o}dinger equation of a two-level system into a nonlinear Schr\"{o}dinger equation. As applications, it is shown that damping has a relatively mild influence on self-induced transparency but destroys dynamical localization.
Cite
@article{arxiv.quant-ph/0611238,
title = {Analytical solutions for two-level systems with damping},
author = {Christian Brouder},
journal= {arXiv preprint arXiv:quant-ph/0611238},
year = {2010}
}
Comments
4 pages