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

Hiroto Kobayashi, Naomichi Hatano and Seiji Miyashita

Physica A: Statistical Mechanics and its Applications, 1999, vol. 265, issue 3, 565-583

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.

Keywords: Landau–Zener formula; Quantum dynamics; Spin-boson model; Exponential product formula (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:265:y:1999:i:3:p:565-583

DOI: 10.1016/S0378-4371(98)00475-0

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