Comment on ''Exceptional points and double poles of the S matrix''

(2) Max-Planck-Institut fuer Kernphysik; (3) Department of Physics; A. Heine (1); A. Richter (1) ((1) Institut fuer Kernphysik; B. Dietz (1); C. Dembowski (1); Germany; H.-D. Graef (1); Heidelberg; H. L. Harney (2)

arxiv: nlin/0309066 · v1 · submitted 2003-09-25 · 🌊 nlin.CD

Comment on ''Exceptional points and double poles of the S matrix''

C. Dembowski (1) , B. Dietz (1) , H.-D. Graef (1) , H. L. Harney (2) , A. Heine (1) , W. D. Heiss (3) , A. Richter (1) ((1) Institut fuer Kernphysik , Technische Universitaet Darmstadt

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Germany (2) Max-Planck-Institut fuer Kernphysik Heidelberg (3) Department of Physics University of Stellenbosch Matieland South Africa)

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In a recent paper [Phys. Rev. E 67, 026204 (2003)], Rotter calculates the geometric phases that are picked up by the eigenvectors of a two-state quantum system when an exceptional point is encircled. In addition to the geometric phases observed by Dembowski et al. in a microwave cavity experiment [Phys. Rev. Lett. 86, 787 (2001)], she finds a phase factor of i. We show that Rotters results are inconsistent.

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Comment on ''Exceptional points and double poles of the S matrix''

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