Table of Contents
Crystals, Volume 7, Issue 5 (May 2017)
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Cover Story (view full-size image) We analysed topologic and holonomic aspects of discrete-time quantum walk architectures. In [...] Read more. We analysed topologic and holonomic aspects of discrete-time quantum walk architectures. In particular, we calculated the Zak phase, which is the geometric phase accumulated by a quantum particle through adiabatic motion across the Brillouin zone. In Figure 2, we report the Zak phase in parameter space for two different discrete-time quantum walk architectures: (a) Non-trivial geometric Zak phase landscape for "split-step" quantum walk, obtained analytically; (b) non-trivial geometric Zak phase landscape for quantum walk with non-commuting rotations, obtained by numeric integration. (View this paper)