Eur. Phys. J. Plus (2016) 131: 205
https://doi.org/10.1140/epjp/i2016-16205-5

Regular Article

Tunable potentials and decoherence effect on polaron in nanostructures

¹ Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 479, Dschang, Cameroon
² International Chair in Mathematical Physics and Applications (ICMPA UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50, Cotonou, Republic of Benin
³ Laboratory of Mechanics, Materials and Structures, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

^* e-mail: fotuea@yahoo.fr

Received: 4 March 2016
Accepted: 10 May 2016
Published online: 22 June 2016

Abstract

We studied the effect of the tunable potential and decoherence of polaron in nanostructures. We have arbitrarily chosen eight potentials: the elliptical potential, square potential, triangular potential, the quadratic potential, the delta potential, the Gaussian potential, the pseudo-harmonic potential and Coulombic potential. In order to evaluate different polaronic parameters, we used the unitary transformation of LLP and the Pekar-type variational method (PTVM). This system can be considered as a two-level quantum system. We demonstrate in this work that the elliptical potential best confines the polaron and provides interesting information transfer, whereas, Gaussian, pseudo-harmonic and Coulombic potentials transfer information slowly. It is also found in this work that the Coulomb potential seems to be the most chaotic compared to the seven other used. This work confirms that the choice of a potential is crucial for the study of decoherence in nanostructures.