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Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems.

Ievgen I Arkhipov1, Fabrizio Minganti2,3, Adam Miranowicz4,5,6

  • 1Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS, Faculty of Science, <a href="https://ror.org/04qxnmv42">Palacký University</a>, 17. listopadu 12, 771 46 Olomouc, Czech Republic.

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Summary
This summary is machine-generated.

Researchers achieved symmetric state transfer in non-Hermitian systems by navigating exceptional points (EPs) along specific paths. This overcomes previous limitations, enabling controlled mode switching for advanced wave manipulation.

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Wave Phenomena

Background:

  • Non-Hermitian systems exhibit exceptional points (EPs), spectral singularities reducing system dimensionality.
  • Encircling EPs was proposed for symmetric mode switching, but typically yields asymmetric conversion due to failed adiabaticity.

Purpose of the Study:

  • To theoretically demonstrate achievable adiabaticity and symmetric state transfer when encircling EPs in non-Hermitian systems.
  • To overcome the inherent chirality in dynamical EP encirclement.

Main Methods:

  • Investigating non-Hermitian systems with exceptional points.
  • Theoretically analyzing trajectories in parameter space for EP encirclement.
  • Identifying parameter space paths that maintain a real spectrum for the evolution operator.

Main Results:

  • Demonstrated that specific trajectories around EPs enable adiabaticity.
  • Achieved symmetric state transfer, contrary to previous findings of asymmetric mode conversion.
  • Showcased a method to overcome the winding-direction-dependent chirality.

Conclusions:

  • Symmetric adiabatic passage around EPs in non-Hermitian systems is feasible.
  • The key lies in selecting parameter space trajectories yielding a real spectrum.
  • This breakthrough advances wave manipulation protocols in quantum and classical physics.