Landau-Zener transitions through a pair of higher-order exceptional points

  title={Landau-Zener transitions through a pair of higher-order exceptional points},
  author={Rishindra Melanathuru and Simon Malzard and Eva-Maria Graefe},
  journal={Physical Review A},
Non-Hermitian quantum systems with explicit time dependence are of ever-increasing importance. There are only a handful of models that have been analytically studied in this context. Here, a PT-symmetric non-Hermitian N -level Landau-Zener type problem with two exceptional points of N th order is introduced. The system is Hermitian far away from the exceptional points, and has purely imaginary eigenvalues between the exceptional points. The full Landau-Zener transition probabilities are derived… 
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