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APS » Journals » Phys. Rev. Lett. » Volume 106 » Issue 15
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Phys. Rev. Lett. 106, 150403 (2011) [4 pages]

Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation

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B. Dietz1, H. L. Harney2, O. N. Kirillov3, M. Miski-Oglu1, A. Richter1,4,*, and F. Schäfer1,5
1Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
2Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany
3FWSH, Helmholtz-Zentrum Dresden-Rossendorf, Post Office Box 510119, D-01314 Dresden, Germany
4ECT*, Villa Tambosi, I-38123 Villazzano (Trento), Italy
5LENS, University of Florence, I-50019 Sesto-Fiorentino (Firenze), Italy

Received 13 August 2010; published 15 April 2011

We report on the experimental study of an exceptional point (EP) in a dissipative microwave billiard with induced time-reversal invariance (T) violation. The associated two-state Hamiltonian is non-Hermitian and nonsymmetric. It is determined experimentally on a narrow grid in a parameter plane around the EP. At the EP the size of T violation is given by the relative phase of the eigenvector components. The eigenvectors are adiabatically transported around the EP, whereupon they gather geometric phases and in addition geometric amplitudes different from unity.

© 2011 American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.106.150403
DOI:
10.1103/PhysRevLett.106.150403
PACS:
03.65.Vf, 02.10.Yn, 05.45.Mt, 11.30.Er

*richter@ikp.tu-darmstadt.de

 
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