Non-adiabatic transition in spin-boson model and generalization of the Landau–Zener formula

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 w...

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Bibliographic Details
Published in:Physica A 1999-04, Vol.265 (3), p.565-583
Main Authors: Kobayashi, Hiroto, Hatano, Naomichi, Miyashita, Seiji
Format: Article
Language:English
Subjects:
Exponential product formula
Landau–Zener formula
Quantum dynamics
Spin-boson model
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(98)00475-0