Correlations in noisy Landau-Zener transitions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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12 pages LaTex with 6 EPS figures

Scientific paper

10.1103/PhysRevB.70.014416

We analyze the influence of classical Gaussian noise on Landau-Zener transitions during a two-level crossing in a time-dependent regular external field. Transition probabilities and coherence factors become random due to the noise. We calculate their two-time correlation functions, which describe the response of this two-level system to a weak external pulse signal. The spectrum and intensity of the magnetic response are derived. Although fluctuations are of the same order of magnitude as averages, the results is obtained in an analytic form.

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