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Fast noise in the Landau-Zener theory

V. L. Pokrovsky·N. A. Sinitsyn
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Abstract

We study the influence of a fast noise on Landau-Zener transitions. We demonstrate that a fast colored noise much weaker than the conventional white noise can produce transitions itself or can change substantially the Landau-Zener transition probabilities. In the limit of fast colored or strong white noise we derive asymptotically exact formulae for transition probabilities and study the time evolution of a spin coupled to the noise and a sweeping magnetic field.

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V. L. Pokrovsky, N. A. Sinitsyn. 2003-02-04. Fast noise in the Landau-Zener theory. https://doi.org/10.1103/physrevb.67.144303

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