Effects of Disorder on Non-unitary <i>PT</i> Symmetric Quantum Walks

• MOCHIZUKI Ken

  Department of Applied Physics, Hokkaido University

• OBUSE Hideaki

  Department of Applied Physics, Hokkaido University

Bibliographic Information

Other Title

• Effects of Disorder on Non-unitary PT Symmetric Quantum Walks

Abstract

PT symmetry, namely, a combined parity and time-reversal symmetry can make non-unitary quantum walks exhibit entirely real eigenenergy. However, it is known that the concept of PT symmetry can be generalized and an arbitrary anti-unitary symmetry has a possibility to substitute PT symmetry. The aim of the present work is to seek such non-unitary quantum walks with generalized PT symmetry by focusing on effects of spatially random disorder which breaks PT symmetry. We numerically find non-unitary quantum walks whose quasi-energy is entirely real despite PT symmetry is broken.

Journal

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 23 (1), 95-103, 2017

  The Editorial Committee of the Interdisciplinary Information Sciences

Keywords

• non-unitary quantum walks
• <i>PT</i> symmetry
• randomness

Details

• CRID: 1390282679413302016
• NII Article ID: 120006237465
• NII Article ID: 130005519659
• DOI: 10.4036/iis.2017.a.12
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/00120636
• Web Site: https://tohoku.repo.nii.ac.jp/records/123223
• Web Site: https://www.jstage.jst.go.jp/article/iis/23/1/23_2017.A.12/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed