Construction of distinct discrete time scattering quantum walk formulations on the honeycomb lattice

Here we address the scattering construction of discrete time quantum walks on the honeycomb lattice. We write the system general (unitary) one step time evolution operator in terms of: (i) complete arbitrary scattering matrices Γ(j,k), defined on the sites (j,k) of the lattice and; and (ii) topologi...

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Veröffentlicht in:	Annals of physics 2018-09, Vol.396, p.517-545
Hauptverfasser:	Venancio, B.F., da Luz, M.G.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS FOURIER TRANSFORMATION GRAPH THEORY Honeycomb lattice MATHEMATICAL EVOLUTION MATRICES QUANTUM MECHANICS Quantum walks formulations SCATTERING Scattering quantum walks SYMMETRY GROUPS Topological features TOPOLOGY
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