Eur. Phys. J. Plus (2014) 129: 151
https://doi.org/10.1140/epjp/i2014-14151-x

Regular Article

Dynamics of a central electron spin coupled to an anti-ferromagnetic spin bath driven by a variable magnetic field in the Landau-Zener scenario

Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon

^* e-mail: fouokenggc2012@yahoo.fr

Received: 27 May 2014
Revised: 11 June 2014
Accepted: 17 June 2014
Published online: 24 July 2014

Abstract

The Landau-Zener (LZ) transition probability of a two-level crossing in a single quantum dot driven by a two-state auto-correlated (TSAC) noise is studied. The model used isolates a central electron spin (CES) system bathed with TSAC noise and an anti-ferromagnetic spin bath. This model turnes into the LZ formalism in the limit of weak-excitation magnetic field. The effects of noise and of the coupling with the spin chain, on the LZ-transition probability are studied. In the weak coupling regime of the CES with the bath, it is seen that the TSAC noise effect can be compared with that of a deterministic sinusoidal oscillating function. In the strong coupling regime this effect decreases and alters the noise process on the LZ-transition probability.