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Peer-reviewed Journal Articles, etc >
Proposal of multidimensional quantum walks to explore Dirac and Schr?dinger systems
| Title: | Proposal of multidimensional quantum walks to explore Dirac and Schr?dinger systems |
| Authors: | Yamagishi, Manami Browse this author | | Hatano, Naomichi Browse this author | | Imura, Ken-Ichiro Browse this author | | Obuse, Hideaki Browse this author →KAKEN DB |
| Issue Date: | 10-Apr-2023 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical Review A |
| Volume: | 107 |
| Issue: | 4 |
| Start Page: | 42206 |
| Publisher DOI: | 10.1103/PhysRevA.107.042206 |
| Abstract: | 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. |
| Rights: | ©[2023] American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/89815 |
| 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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