Proposal of multidimensional quantum walks to explore Dirac and Schr?dinger systems

Yamagishi, Manami; Hatano, Naomichi; Imura, Ken-Ichiro et al.

Physical Review A, 2023, 107(4), 42206

Permalink : https://hdl.handle.net/2115/89815

このアイテムのアクセス数:278件（2026-01-18 02:04 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
PhysRevA.107.042206	pdf	5.77 MB	332

アクセス権	open access
URI	https://hdl.handle.net/2115/89815
タイトル	Proposal of multidimensional quantum walks to explore Dirac and Schr?dinger systems
著者	Yamagishi, Manami ; Hatano, Naomichi ; Imura, Ken-Ichiro ; Obuse, Hideaki
著者名 Yamagishi, Manami
著者名 Hatano, Naomichi
著者名 Imura, Ken-Ichiro
e-Rad_Researcher 50415121 著者名 Obuse, Hideaki
言語	英語
発行日	2023-04-10
出版者	American Physical Society (APS)
収録物名	Physical Review A
巻(号)	107(4)
ページ	42206
抄録	We propose a multidimensional discrete-time quantum walk (DTQW), whose continuum limit is an extended multidimensional Dirac equation, which can be further mapped to the Schrodinger equation. We show in two ways that our DTQW is an excellent measure to investigate the two-dimensional (2D) extended Dirac Hamiltonian and higher-order topological materials. First, we show that the dynamics of our DTQW resembles that of a 2D Schrodinger harmonic oscillator. Second, we find in our DTQW topological features of the extended Dirac system. By manipulating the coin operators, we can generate not only standard edge states but also corner states.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	©[2023] American Physical Society
PISSN	2469-9926
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevA.107.042206