Analytical solutions for two-level systems with damping

Christian Brouder (1)

1 IMPMC - Institut de minéralogie et de physique des milieux condensés

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 Schrödinger equation of a two-level system into a nonlinear Schrödinger equation. As applications, it is shown that damping has a relatively mild influence on self-induced transparency but destroys dynamical localization.

Mots clés: Bloch equations; two-level systems

Domaines: Physique Quantique [quant-ph]

Christian Brouder. Analytical solutions for two-level systems with damping. Journal of Physics: Condensed Matter, 2007, 40 (31), pp.9455. ⟨10.1088/1751-8113/40/31/020⟩. ⟨hal-00115837⟩