Tunable potentials and decoherence effect on polaron in nanostructures

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.