Origin of branch points in the spectrum of PT -symmetric periodic potentials

  • Chang C
  • Wang S
  • Hong T
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There exist multiple branch points in the energy spectrum for some
PT-symmetric periodic potentials, where the real eigenvalues turn into
complex ones. By studying the transmission amplitude for a localized
complex potential, we elucidate the physical origin of the breakdown of
the perturbation method and Born approximation. Most importantly, we
derive an analytic criterion to determine why, when, and where the
bifurcation will occur.

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  • Ching Hao Chang

  • Shi Ming Wang

  • Tzay Ming Hong

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