Continuous-time limit of topological quantum walks

Radhakrishnan Balu; Daniel Castillo; George Siopsis; Christian Weedbrook

doi:10.1117/12.2262596

8 May 2017 Continuous-time limit of topological quantum walks

Radhakrishnan Balu, Daniel Castillo, George Siopsis, Christian Weedbrook

Proceedings Volume 10193, Ultrafast Bandgap Photonics II; 1019319 (2017) https://doi.org/10.1117/12.2262596
Event: SPIE Defense + Security, 2017, Anaheim, CA, United States

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.

Conference Presentation

Citation Download Citation

Radhakrishnan Balu, Daniel Castillo, George Siopsis, and Christian Weedbrook "Continuous-time limit of topological quantum walks", Proc. SPIE 10193, Ultrafast Bandgap Photonics II, 1019319 (8 May 2017); https://doi.org/10.1117/12.2262596

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