Eur. Phys. J. B (2015) 88: 306
https://doi.org/10.1140/epjb/e2015-60618-y

Regular Article

Multi-crossing dynamics of a multi-particle Landau-Zener (LZ) system: Dynamics matrix approach

Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 479, Dschang, Cameroon

^a e-mail: jmichaelnicky@yahoo.fr

Received: 30 July 2015
Received in final form: 12 September 2015
Published online: 23 November 2015

Abstract

This paper investigates multi-crossing dynamics of multi-particle Landau-Zener (LZ) systems applying Dynamic matrix approach (DMA) that is found to generalize probability amplitudes. It is also observed that for exceedingly low frequencies, the system exhibits one crossing while for high frequencies, the multi-crossing. It is shown that for particular phenomenological parameters of the system, there is total population transfer that achieves the values one or zero useful for implementing quantum logic gates.