Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry

Ken Mochizuki, Dakyeong Kim, Norio Kawakami, and Hideaki Obuse
Phys. Rev. A 102, 062202 – Published 2 December 2020

Abstract

We study topological phases in one-dimensional open Floquet systems driven by chiral symmetric nonunitary time evolution. We derive a procedure to calculate topological numbers from nonunitary time-evolution operators with chiral symmetry. While the procedure has been applied to open Floquet systems described by nonunitary time-evolution operators, we give the microscopic foundation and clarify its validity. We construct a model of chiral symmetric nonunitary quantum walks classified into class BDI or AIII, which is one of the enlarged symmetry classes for topological phases in open systems based on experiments of discrete-time quantum walks. Then we confirm that the topological numbers obtained from the derived procedure give correct predictions of the emergent edge states. We also show that the model retains PT symmetry in certain cases, and its dynamics is crucially affected by the presence or absence of PT symmetry.

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  • Received 21 August 2020
  • Revised 5 November 2020
  • Accepted 16 November 2020

DOI:https://doi.org/10.1103/PhysRevA.102.062202

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Ken Mochizuki1, Dakyeong Kim1, Norio Kawakami2, and Hideaki Obuse1

  • 1Department of Applied Physics, Hokkaido University, Sapporo 060-8628, Japan
  • 2Department of Physics, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 102, Iss. 6 — December 2020

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