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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.… Click to show full abstract
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 oscillations are discussed.
Keywords:
walks triangular;
dirac quantum;
honeycomb lattices;
triangular honeycomb;
quantum walks
Journal Title: Physical Review A
Year Published: 2019
Link to full text (if available)
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Journal Title: Physical Review A
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!