78 citations · 272 across the 20 of their papers we have counts for
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quant-ph2020
Dirac quantum walks with conserved angular momentum
Gareth Jay, Pablo Arnault, Fabrice Debbasch
A Quantum Walk (QW) simulating the flat D Dirac Eq.\ on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a represe…
quant-ph2020★ 21 cited
Quantum walks in weak electric fields and Bloch oscillations
Pablo Arnault, Benjamin Pepper, A. Pérez
Bloch oscillations appear when an electric field is superimposed on a quantum particle that evolves on a lattice with a tight-binding Hamiltonian (TBH), i.e., evolves via what we w…