articleAdvances In PhysicsJul 2, 2020GREEN OA

Non-Hermitian physics

YAYuto AshidaZGZongping GongMUMasahito Ueda

The University of Tokyo · Max Planck Institute of Quantum Optics · +1 more institution

Indexed inarxivcrossref

Abstract

A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional points, pseudo-Hermiticity, and parity-time symmetry, are delineated in a pedagogical and mathematically coherent manner. Building on these, we provide an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, and acoustics to active matter, can be used to simulate non-Hermitian wave physics. In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility, enhanced sensitivity, topological energy…

Citation impact

1,610
total citations
FWCI
83.71
Percentile
100%
References
1,126
Citations per year

Authors

3
  • YA
    Yuto AshidaCorresponding

    The University of Tokyo

  • ZG
    Zongping Gong

    Max Planck Institute of Quantum Optics, The University of Tokyo

  • MU
    Masahito Ueda

    RIKEN Center for Emergent Matter Science, The University of Tokyo

Topics & keywords

Topics
Keywords
  • Mesoscopic physics
  • Quantum
  • Open quantum system
  • Dirac (video compression format)
  • Quantum process
  • Field (mathematics)
  • Quantum field theory
  • Topology (electrical circuits)
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