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Proceedings Paper

Continuous-time limit of topological quantum walks
Author(s): Radhakrishnan Balu; Daniel Castillo; George Siopsis; Christian Weedbrook
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Paper Abstract

We derive the continuous-time limit of discrete quantum walks with topological phases. We show the existence of a continuous-time limit that preserves their topological phases. We consider both simple-step and splitstep walks, and derive analytically equations of motion governing their behavior. We obtain simple analytical solutions showing the existence of bound states at the boundary of two phases, and solve the equations of motion numerically in the bulk.

Paper Details

Date Published: 8 May 2017
PDF: 16 pages
Proc. SPIE 10193, Ultrafast Bandgap Photonics II, 1019319 (8 May 2017); doi: 10.1117/12.2262596
Show Author Affiliations
Radhakrishnan Balu, U.S. Army Research Lab. (United States)
Daniel Castillo, The Univ. of Tennessee Knoxville (United States)
George Siopsis, The Univ. of Tennessee Knoxville (United States)
Christian Weedbrook, CipherQ (Canada)

Published in SPIE Proceedings Vol. 10193:
Ultrafast Bandgap Photonics II
Michael K. Rafailov, Editor(s)

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