2011年11月
Topological phases and delocalization of quantum walks in random environments
PHYSICAL REVIEW B
- ,
- 巻
- 84
- 号
- 19
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevB.84.195139
- 出版者・発行元
- AMER PHYSICAL SOC
We investigate one-dimensional (1D) discrete-time quantum walks (QWs) with spatially or temporally random defects as a consequence of interactions with random environments. We focus on the QWs with chiral symmetry in a topological phase, and reveal that chiral symmetry together with the bipartite nature of the QWs brings about intriguing behaviors such as coexistence of topologically protected edge states at zero energy and Anderson transitions in the 1D chiral class at nonzero energy in their dynamics. In contrast to results of previous studies, therefore, the spatially disordered QWs can avoid complete localization due to the Anderson transition. It is further confirmed that the edge states are robust to spatial disorder but not to temporal disorder.
- リンク情報
- ID情報
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- DOI : 10.1103/PhysRevB.84.195139
- ISSN : 1098-0121
- eISSN : 2469-9969
- Web of Science ID : WOS:000297414500019