Abstract
A model of quantum dynamics of nonadiabatic transition in energy crossing two-level systems (Landau-Zener model) with fluctuation and dissipation mechanisms is formulated on the basis of the damping theory. The model is composed of a two-level system interacting with a single-mode boson system which is surrounded by a reservoir. The basic equation which describes time-evolution of the relevant system is transformed into bitridiagonally coupled differential equations which are solved numerically. Characteristics of our formulation are the following. It is possible to study the quantum dynamics at any temperature and to treat a situation when the fluctuation field is strong. This is because our theory is extended beyond the applicability of the usual perturbation theory. Moreover, our theory can treat both the diagonal and the off-diagonal fluctuations simultaneously.
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