Fast noise in the Landau-Zener theory

TL;DR

This paper investigates how fast colored noise, even when weak, can significantly affect Landau-Zener transition probabilities, providing exact formulas and analyzing spin dynamics under noisy conditions.

Contribution

It introduces new analytical results for Landau-Zener transitions influenced by fast colored noise, extending understanding beyond white noise effects.

Findings

Fast colored noise can induce or alter Landau-Zener transitions.

Derived asymptotically exact formulas for transition probabilities under fast noise.

Analyzed spin dynamics in the presence of noise and sweeping magnetic fields.

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.