227 citations · 7.4k across the 275 of their papers we have counts for
11 papers · 1 filter
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…
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…
Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions
W. B. Cardoso, A. T. Avelar, D. Bazeia
We deal with the three-dimensional Gross-Pitaevskii equation, which is used to describe a cloud of dilute bosonic atoms that interact under competing two- and three-body scattering…
Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
A. T. Avelar, D. Bazeia, W. B. Cardoso
In this paper we present analytical breather solutions of the three-dimensional nonlinear generalized Gross-Pitaevskii equation. We use an Ansatz to reduce the three-dimensional eq…
Solitons of two-component Bose-Einstein condensates modulated in space and time
W. B. Cardoso, A. T. Avelar, D. Bazeia +1
In this paper we present soliton solutions of two coupled nonlinear Schodinger equations modulated in the bspace and time. The approach allows us to obatin solitons with large vari…
Nonlinear Schrodinger equation with chaotic, random, and nonperiodic nonlinearity
W. B. Cardoso, S. A. Leao, A. T. Avelar +2
In this paper we deal with a nonlinear Schrödinger equation with chaotic, random, and nonperiodic cubic nonlinearity. Our goal is to study the soliton evolution, with the strength…
Modulation of breathers in cigar-shaped Bose-Einstein condensates
W. B. Cardoso, A. T. Avelar, D. Bazeia
We present new solutions to the nonautonomous nonlinear Schroedinger equation that may be realized through convenient manipulation of Bose-Einstein condensates. The procedure is ba…
Bright and Dark Solitons in a Periodically Attractive and Expulsive Potential with Nonlinearities Modulated in Space and Time
A. T. Avelar, D. Bazeia, W. B. Cardoso
This work deals with soliton solutions of the nonlinear Schroedinger equation with a diversity of nonlinearities. We solve the equation in a potential which oscillates in time betw…
Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
A. T. Avelar, D. Bazeia, W. B. Cardoso
This work deals with soliton solutions of the nonlinear Schroedinger equation with cubic and quintic nonlinearities. We extend the procedure put forward in a recent Letter and we s…