Eur. Phys. J. B (2015) 88: 181
https://doi.org/10.1140/epjb/e2015-60348-2

Regular Article

Landau Zener scenario in a trapped atomic gas: multi-level multi-particle model

Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, 479 Dschang, Cameroon

^a e-mail: jmichaelnicky@yahoo.fr

Received: 2 May 2015
Received in final form: 8 June 2015
Published online: 13 July 2015

Abstract

The paper investigates multi-level and multi-particle Landau-Zener problem applying the dynamic matrix approach. The Landau Zener transitions are observed to depend sensitively on the frequency, phase of interaction and number of levels and particles. The dynamic behaviour of atomic trapped gas is solved for one particle model that permits to deduce different probabilities for particular initial conditions. The generalization of the probabilities permits to solve any multi-level system with an arbitrary number of particles and controlled particle transitions.