2017/05/17 by Rajesh K. Malla, E. G. Mishchenko, M. E. Raikh · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevb.96.075419
published as Phys. Rev. B 96, 075419 (2017) · 8 pages, 4 figures
arxiv created 2017/05/17 · arxiv updated 2017/08/23
When the drive which causes the level crossing in a qubit is slow, the probability, PLZ, of the Landau-Zener transition is close to 1. We show that in this regime, which is most promising for applications, the noise due to the coupling to the environment, reduces the average PLZ. At the same time, the survival probability, 1-PLZ, which is exponentially small for a slow drive, can be completely dominated by noise-induced correction. Our main message is that the effect of a weak classical noise can be captured analytically by treating it as a perturbation in the Schroedinger equation. This allows us to study the dependence of the noise-induced correction to PLZ on the correlation time of the noise. As this correlation time exceeds the bare Landau-Zener transition time, the effect of noise becomes negligible. We consider two conventional realizations of noise: Gaussian noise and telegraph noise.