Banca de DEFESA: FRANCISCO JOSE DE ARAUJO FILHO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : FRANCISCO JOSE DE ARAUJO FILHO
DATE: 02/08/2021
TIME: 14:00
LOCAL: Instituto de Física (remotamente)
TITLE:

Quantum state transference in models with exponential decay in the hopping terms

KEY WORDS:

QUANTUM STATES TRANSFER. PARTICIPATION.LOYALTY

PAGES: 43
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

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
phenomenology that exists in solid systems. Some relevant effects are the presence of
intrinsic 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 atoms, 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 T{n,m}=exp[-nu|1-d{n,m}. Where
d{n, m}=|n-m|, with n being different of 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 eigenvalues s and eigenvectors 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 (P{max}), Maximum Loyalty (F{max}) and Maximum Loyalty Value
(<F>{max}). Based on the results of these measurements, we conclude that a (QST), for
some values of nu, occurred with good reliability.

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Interno - 1063469 - GUILHERME MARTINS ALVES DE ALMEIDA
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