PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
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.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
The alert did not successfully save. Please try again later.
Radhakrishnan Balu, Daniel Castillo, George Siopsis, 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