State flip at exceptional points in atomic spectra

  title={State flip at exceptional points in atomic spectra},
  author={Henri Menke and Marcel Klett and Holger Cartarius and Jorg Main and G{\"u}nter Wunner},
  journal={Physical Review A},
We study the behavior of the non-adiabatic population transfer between resonances at an exceptional point in the spectrum of the hydrogen atom. It is known that, when the exceptional point is encircled, the system always ends up in the same state, independent of the initial occupation within the two-dimensional subspace spanned by the states coalescing at the exceptional point. We verify this behavior for a realistic quantum system, viz. the hydrogen atom in crossed electric and magnetic fields… 

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A 44
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  • 2011
A 46
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