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


  • Kobayashi, Hiroto
  • Hatano, Naomichi
  • Miyashita, Seiji


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.

Suggested Citation

  • Kobayashi, Hiroto & Hatano, Naomichi & Miyashita, Seiji, 1999. "Non-adiabatic transition in spin-boson model and generalization of the Landau–Zener formula," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 565-583.
  • Handle: RePEc:eee:phsmap:v:265:y:1999:i:3:p:565-583
    DOI: 10.1016/S0378-4371(98)00475-0

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