Dirac quantum walks on triangular and honeycomb lattices

Gareth Jay, Fabrice Debbasch, J. B. Wang

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2 Citations (Scopus)


In this paper, we present a detailed study on discrete-time Dirac quantum walks (DQWs) on triangular and honeycomb lattices. At the continuous limit, these DQWs coincide with the Dirac equation. Their differences in the discrete regime are analyzed through the dispersion relations, with special emphasis on Zitterbewegung. An extension which couples these walks to arbitrary discrete electromagnetic field is also proposed and the resulting Bloch-like oscillations are discussed.

Original languageEnglish
Article number032113
JournalPhysical Review A
Issue number3
Publication statusPublished - 14 Mar 2019


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