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arXiv · 1508.07528

Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary

Ho Tat Lam·Yue Yu·Kwok Yip Szeto
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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 $E=0,\pi$. 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.

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Ho Tat Lam, Yue Yu, Kwok Yip Szeto. 2015-08-30. Symmetry Protected Topological Phases and Majorana Mode in One-dimensional Quantum Walk with Boundary. https://doi.org/10.1103/physreva.93.052319

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