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Non-Adiabatic Transition in Spin-Boson Model and Generalization of the Landau-Zener Formula

Hiroto Kobayashi·Naomichi Hatano·Seiji Miyashita
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Abstract

Non-adiabatic transitions are studied in a spin-boson model with multiple scattering points. In order to generalize the Landau-Zener formula, which describes the case of a single scattering point, we define an ``effective gap'' for a set of scattering points. The generalized formula agrees very well with numerical results of the non-adiabatic dynamics, which we obtained by a direct numerical method. This will make the Landau-Zener formula yet more useful in analyzing experimental data of magnetic-moment inversion.

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Hiroto Kobayashi, Naomichi Hatano, Seiji Miyashita. 1998-07-29. Non-Adiabatic Transition in Spin-Boson Model and Generalization of the Landau-Zener Formula. https://doi.org/10.1016/s0378-4371(98)00475-0

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