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The chirality of exceptional points |
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| Authors: | WD Heiss HL Harney |
| Institution: | (1) Department of Physics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa, ZA;(2) Max-Planck-Institut für Kernphysik, 69029 Heidelberg, Germany, DE |
| 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. Received 9 April 2001 and Received in final form 19 July 2001 |
| Keywords: | 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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