Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary
arXiv:1508.07528 · doi:10.1103/PhysRevA.93.052319
Abstract
The topological phases in one-dimensional quantum walk can be classified by the coin parameters. By solving for the general exact solutions of bound states in one-dimensional quantum walk with boundaries specified by different coin parameters, we show that these bound states are Majorana modes with quasi-energy . These modes are qualitatively different for different boundary conditions used. For two-boundary system with symmetric boundary conditions, the interaction energy between two Majorana bound states can be computed, as in the case of a finite wire. Suggestion of observing these modes are provided.
6 pages, 3 pages
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