67 citations · 882 across the 41 of their papers we have counts for
22 papers · 1 filter
Universal critical factor for spin-1/2 Aharonov-Bohm bound states
Vinícius Salem, Edilberto O. Silva, Fabiano M. Andrade
Whether the spin-1/2 Aharonov-Bohm Hamiltonian supports bound states has remained controversial since Hagen concluded that no such states exist for a Dirac particle. Here, we show…
Scattering entropies of quantum graphs with several channels
Alison A. Silva, Fabiano M. Andrade, D. Bazeia
This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the Rényi and Tsallis entr…
Unitary evolution for a two-level quantum system in fractional-time scenario
D. Cius, L. Menon, M. A. F. dos Santos +2
The time-evolution operator obtained from the fractional-time Schrödinger equation (FTSE) is said to be non-unitary since it does not preserve the norm of the vector state in time.…
Entanglement between uncoupled modes with time-dependent complex frequencies
D. Cius, G. M. Uhdre, A. S. M. de Castro +1
In this work we present the general unified description for the unitary time-evolution generated by time-dependent non-Hermitian Hamiltonians embedding the bosonic representations…
Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
Márcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva
In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin- particle in the presence of the Aharonov-Bohm effec…
Average scattering entropy for periodic, aperiodic and random distribution of vertices in simple quantum graphs
Alison A. Silva, Fabiano M. Andrade, D. Bazeia
This work deals with the average scattering entropy of quantum graphs. We explore this concept in several distinct scenarios that involve periodic, aperiodic and random distributio…
Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
Gustavo M. Uhdre, Danilo Cius, Fabiano M. Andrade
The theory of non-Hermitian systems and the theory of quantum deformations have attracted a great deal of attention in the past decades. In general, non-Hermitian Hamiltonians are…
Average scattering entropy of quantum graphs
Alison A. Silva, Fabiano M. Andrade, Dionisio Bazeia
The scattering amplitude in simple quantum graphs is a well-known process which may be highly complex. In this work, motivated by the Shannon entropy, we propose a methodology that…
Narrow peaks of full transmission in simple quantum graphs
A. Drinko, F. M. Andrade, D. Bazeia
This work deals with quantum graphs, focusing on the transmission properties they engender. We first select two simple diamond graphs, and two hexagonal graphs in which the vertice…
Simple quantum graphs proposal for quantum devices
A. Drinko, F. M. Andrade, D. Bazeia
The control of the quantum transport is an issue of current interest for the construction of new devices. In this work, we investigate this possibility in the realm of quantum grap…
Unitary equivalence between the Green's function and Schrödinger approaches for quantum graphs
Fabiano M. Andrade, Simone Severini
In a previous work [Andrade \textit{et al.}, Phys. Rep. \textbf{647}, 1 (2016)], it was shown that the exact Green's function (GF) for an arbitrarily large (although finite) quantu…
Quantum motion of a spinless particle in curved space: A viewpoint of scattering theory
Fabiano M. Andrade, Augusto R. Chumbes, Cleverson Filgueiras +1
In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equat…
Green's function approach for quantum graphs: an overview
Fabiano M. Andrade, A. G. M. Schmidt, E. Vicentini +2
Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain…
Quantum motion of a point particle in the presence of the Aharonov--Bohm potential in curved space
Edilberto O. Silva, Sérgio C. Ulhoa, Fabiano M. Andrade +2
The nonrelativistic quantum dynamics of a spinless charged particle in the presence of the Aharonov--Bohm potential in curved space is considered. We chose the surface as being a c…
Exact Green's function for rectangular potentials and its application to quasi-bound states
Fabiano M. Andrade
In this work we calculate the exact Green's function for arbitrary rectangular potentials. Specifically we focus on Green's function for rectangular quantum wells enlarging the kno…
Superdiffusivity of quantum walks: A Feynman sum-over-paths description
F. M. Andrade, M. G. E. da Luz
Quantum walks constitute important tools in different applications, especially in quantum algorithms. To a great extent their usefulness is due to unusual diffusive features, allow…
On the spin-1/2 Aharonov-Bohm problem in conical space: bound states, scattering and helicity nonconservation
F. M. Andrade, E. O. Silva, M. Pereira
In this work the bound state and scattering problems for a spin-1/2 particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit are considered.…
Nonrelativistic quantum dynamics on a cone with and without a constraining potential
C. Filgueiras, E. O. Silva, F. M. Andrade
In this paper we investigate the bound state problem of nonrelativistic quantum particles on a conical surface. This kind of surface appears as a topological defect in ordinary sem…
On Aharonov-Casher bound states
E. O. Silva, F. M. Andrade, H. Belich +1
In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effe…
Green function approach for scattering quantum walks
F. M. Andrade, M. G. E. da Luz
In this work a Green function approach for scattering quantum walks is developed. The exact formula has the form of a sum over paths and always can be cast into a closed analytic e…
Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
F. M. Andrade, E. O. Silva, M. Pereira
We examine the bound state and scattering problem of a spin-one-half particle undergone to an Aharonov-Bohm potential in a conical space in the nonrelativistic limit. The crucial p…
Equivalence between discrete quantum walk models in arbitrary topologies
F. M. Andrade, M. G. E. da Luz
Coin and scattering are the two major formulations for discrete quantum walks models, each believed to have its own advantages in different applications. Although they are related…