Correlations in noisy Landau-Zener transitions

Abstract

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.

12 pages LaTex with 6 EPS figures

References in corpus (3)

• Fast noise in the Landau-Zener theory
• Spin transitions in time-dependent regular and random magnetic fields
• Noise effect on the nonadiabatic transition and correction to the tunneling energy gap estimated by the Landau-Zener-Stuckelberg formula

Cited by in corpus (5)

• Fast quantum noise in Landau-Zener transition
• Nonadiabatic Transitions for a Decaying Two-Level-System: Geometrical and Dynamical Contributions
• Quantum dynamics of a nanomagnet in a rotating field
• Suppression of the Landau-Zener transition probability by a weak classical noise
• Landau-Zener transition driven by a slow noise