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Topological quantum walk with discrete time-glide symmetry
Title: | Topological quantum walk with discrete time-glide symmetry |
Authors: | Mochizuki, Ken Browse this author | Bessho, Takumi Browse this author | Sato, Masatoshi Browse this author | Obuse, Hideaki Browse this author →KAKEN DB |
Issue Date: | 13-Jul-2020 |
Publisher: | American Physical Society (APS) |
Journal Title: | Physical Review B |
Volume: | 102 |
Issue: | 3 |
Start Page: | 035418 |
Publisher DOI: | 10.1103/PhysRevB.102.035418 |
Abstract: | Discrete quantum walks are periodically driven systems with discrete time evolution. In contrast to ordinary Floquet systems, no microscopic Hamiltonian exists, and the one-period time evolution is given directly by a series of unitary operators. Regarding each constituent unitary operator as a discrete time step, we formulate discrete space-time symmetry in quantum walks and evaluate the corresponding symmetry protected topological phases. In particular, we study chiral and/or time-glide symmetric topological quantum walks in this formalism. Due to the discrete nature of time evolution, the topological classification is found to be different from that in conventional Floquet systems. As a concrete example, we study a two-dimensional quantum walk having both chiral and time-glide symmetries and identify the anomalous edge states protected by these symmetries. |
Rights: | Copyright (2020) by The American Physical Society. |
Type: | article |
URI: | http://hdl.handle.net/2115/79101 |
Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小布施 秀明
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