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Robust Scattered Fields from Adiabatically Driven Targets around Exceptional Points.

Lucas J Fernández-Alcázar1, Huanan Li1,2, Fred Ellis1

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Scattering processes can become insensitive to incident waves when targets modulate around an exceptional point. Above a critical dwell time, the scattered field reaches a controllable fixed point, offering new control engineering possibilities.

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Area of Science:

  • Wave scattering
  • Non-Hermitian physics
  • Control engineering

Background:

  • Scattering processes are generally sensitive to incident wave properties and wave-matter interactions.
  • Exceptional points (EPs) in non-Hermitian systems represent unique degeneracies with unusual properties.
  • Time-periodic modulations near EPs can lead to novel dynamical behaviors.

Purpose of the Study:

  • To investigate the sensitivity of scattering processes to incident wave properties when the target undergoes time-periodic modulations near an exceptional point.
  • To explore the existence of a regime where scattering becomes independent of incident wave characteristics.
  • To identify potential applications in control engineering and fluctuation management.

Main Methods:

  • Theoretical analysis of wave scattering from a target with time-periodic modulations.
  • Investigation of system dynamics encircling an exceptional point in parameter space.
  • Analysis of the scattered field's dependence on scattering dwell time (τ) and driving parameters.

Main Results:

  • A regime of scattering insensitivity was identified for dwell times above a critical value (τ > τ_{c}).
  • In this regime, the scattered field converges to a fixed-point attractor, independent of incident wave properties.
  • The attractor's state is controllable by the direction of the driving cycle.
  • This robustness is lost for dwell times below τ_{c}.

Conclusions:

  • Scattering processes near exceptional points can exhibit robustness against incident wave variations under specific conditions (τ > τ_{c}).
  • This phenomenon offers a novel mechanism for controlling scattered fields, independent of initial conditions.
  • Potential applications include advanced control engineering strategies for managing thermal and quantum fluctuations.