The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics

, Volume 17, Issue 2, pp 149–151

The chirality of exceptional points

Authors

  • W.D. Heiss
    • Department of Physics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa
  • H.L. Harney
    • Max-Planck-Institut für Kernphysik, 69029 Heidelberg, Germany

DOI: 10.1007/s100530170017

Cite this article as:
Heiss, W. & Harney, H. Eur. Phys. J. D (2001) 17: 149. doi:10.1007/s100530170017

Abstract:

Exceptional points are singularities of the spectrum and wave functions of a Hamiltonian which occur as functions of a complex interaction parameter. They are accessible in experiments with dissipative systems. We show that the wave function at an exceptional point is a specific superposition of two configurations. The phase relation between the configurations is equivalent to a chirality which should be detectable in an experiment.

PACS. 03.65.Vf Phases: geometric; dynamic or topological – 02.30.-f Function theory, analysis – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems
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© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2001