Transferência de estados quânticos em cadeias com correlações na desordem

Abstract

In this work, we study the dynamics of an electron at a desorderd potential. the formalism used is based on the solution of the Schrödinger equation, through the time evolution operator, Where the Hamiltonian, which is given by a matrical form, on the obital basis {|ni}, is computationally diagonalized. Despite the high computational cost, the numerical methods employed make it possible to carry out a precise analysis of the electron dynamics, once we deal with the formal solution of Schrödinger equation. The disordered potential embedded in the Hamiltonian has intrinsic correlations between first neighbors. The calculation allows us to understand the nature of the states of the proposed model, Using the location properties discussed throughout the text, changing the correlation length of the disordered potential, in addition to verifying whether the system in question is a good candidate to perform quantum state transfer. For the proposed atom channel, we also perform numerical calculations involving transport properties. allowing us to find precisely some adjustable parameters that allow us to find the highest possible fidelity in a transfer of quantum states.