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- Title
The Witten index for 1D supersymmetric quantum walks with anisotropic coins.
- Authors
Suzuki, Akito; Tanaka, Yohei
- Abstract
Chiral symmetric discrete-time quantum walks possess supersymmetry, and their associated Witten indices can be naturally defined. The Witten index is known to give a lower bound for the number of topologically protected bound states. The purpose of this paper is to give a complete classification of the Witten index for a one-dimensional split-step quantum walk. It turns out that the Witten index of this model exhibits a striking similarity to that of a Dirac particle model in supersymmetric quantum mechanics.
- Subjects
BOUND states; SUPERSYMMETRY; COINS; QUANTUM mechanics
- Publication
Quantum Information Processing, 2019, Vol 18, Issue 12, pN.PAG
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2485-1