Multi-particle and multi-state Landau-Zener model: Dynamic matrix approach
Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O.Box: 479, Dschang, Cameroon
* e-mail: firstname.lastname@example.org
Revised: 5 February 2015
Accepted: 11 March 2015
Published online: 16 April 2015
The paper presents the multi-particle and multi-state Landau-Zener problem and focuses on indistinguishable particles with degenerate states applying the Dynamics matrix approach. It is observed that the probabilities are described by the Binomial law with the limiting values that achieved exact results for spin and Landau-Zener problems. The derivation of the generalized multi-particle probability function is observed to be equivalent to solving a Landau-Zener problem for particle number equal to twice the spin.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015