27 citations · 31 across the 3 of their papers we have counts for
5 papers
Nonlinearity-Inhomogeneity Competition in Discrete-Time Quantum Walks
N. Amaral, A. R. C. Buarque, W. S. Dias
We investigate the interplay between nonlinearity and inhomogeneities in discrete-time quantum walks on one-dimensional lattices. Nonlinear effects are introduced through a Kerr-li…
Hubbard-like Interactions and Emergent Dynamical Regimes Between Modulational Instability and Self-Trapping
L. J. R. Bezerra, W. S. Dias
We investigate the modulational instability of uniform wave packets governed by a discrete third-order nonlinear Schrödinger equation in finite square lattices, modeling light prop…
Boomerang quantum walks
A. R. C. Buarque, W. S. Dias, Ernesto P. Raposo
In this study, we investigate the emergence of the quantum boomerang effect in discrete-time quantum walks (DTQWs) subjected to random phase disorder. Our analysis shows that this…
Nonlinear three-state quantum walks
P. R. N. Falcão, J. P. Mendonça, A. R. C. Buarque +3
The dynamics of a three-state quantum walk with amplitude-dependent phase shifts is investigated. We consider two representative inputs whose linear evolution is known to display e…
Aperiodic space-inhomogeneous quantum walks: localization properties, energy spectra and enhancement of entanglement
A. R. C. Buarque, W. S. Dias
We study the localization properties, energy spectra and coin-position entanglement of the aperiodic discrete-time quantum walks. The aperiodicity is described by spatially depende…