Work

Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect

Year: 2025

Type: preprint

Abstract: Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted much attention. As mathematical models for such systems, non-unitary quantum walks with the chiral symmetry are essential for the study of the topological insulator. In this paper, we give the whole picture of the eigenvalues of a non-unitary one-dimensional two-state quantum walks with one defect and the chiral symmetry.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.04098

Authors: Endo, Takako, Matsumoto, Yohei, Ohno, Hiromichi, Suzuki, Akito

Institutions: Tohoku University, Institute for Materials Research, Tohoku University, Shinshu University, Komatsu University

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416023973

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