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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Wave Phenomena

Background:

  • Disordered Hermitian systems exhibit Anderson localization, preventing wave propagation.
  • Non-Hermitian systems can permit wave propagation even with localized eigenstates.

Purpose of the Study:

  • To investigate wave propagation in disordered non-Hermitian systems.
  • To uncover novel universal scaling behaviors absent in Hermitian counterparts.
  • To elucidate the role of the imaginary-part density of states in long-time wave transport.

Main Methods:

  • Theoretical analysis of non-Hermitian Hamiltonians.
  • Investigation of Anderson localization in disordered systems.
  • Characterization of wave propagation dynamics.

Main Results:

  • Non-Hermitian wave propagation exhibits unique universal scaling behaviors.
  • The tail of the imaginary-part density of states dictates long-time wave propagation.
  • Logarithmically suppressed sub-ballistic transport and dimension-dependent subdiffusion observed for different state of density of states.

Conclusions:

  • Non-Hermitian Anderson localization differs fundamentally from its Hermitian counterpart.
  • Unique universality governs wave propagation in non-Hermitian disordered systems.
  • The imaginary-part density of states is a key determinant of transport properties.