Transferência de estados quânticos em sistemas com hopping decaindo exponencialmente

Abstract

There are in the literature several quantum state transfer experiments (QST) done through computational simulations. Experiments like these work as a kind of laboratory, and it is through them, we can do the study (more detailed) of the effects of some interesting phenomenologies that exists in solid systems. Some relevants effects are the presence of intrinsical disorder and also long-range interactions. In this dissertation, we did a QST analysis on a one-dimensional system, consisting of a total of N+ atoms. The study system has a channel with n atomos, interconnected to a S source and a R receiver. The links between the channel, source and receiver occur through the energy of hopping G. In our model, the channel has a non-correlated dismissal distribution in diagonal terms, and exponential decay in the terms of hopping T (within the channel) of the form Tn,m = exp[−ν|1 − dn,m]. Where dn,m = |n − m|, with n 6= m. Diagonal terms (within the channel) have uniformly correlated disorder distributed evenly in the [−W/2 to W/2] range, where W is the width of disorder. In possession of this system, we used the exact diagonalization method of Anderson’s Hamiltonian to obtain the autovables and autoboretors and numerically calculate some pertinent measures for the analysis of the transfer of quantum states (QST), which were: Density of States (DOS), Average Number of Participation (P(E)), Maximum Average Participation (Pmax), Maximum Loyalty (Fmax) and Maximum Loyalty Value (< F >max). Based on the results of these measurements, we conclude that a QST, for some values of ν, occurred with good reliability.