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Analytical solutions for two-level systems with damping

Christian Brouder
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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.

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Christian Brouder. 2006-11-23. Analytical solutions for two-level systems with damping. https://doi.org/10.1088/1751-8113/40/31/020

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