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PT Symmetry and Spontaneous Symmetry Breaking in a Microwave Billiard

Bittner, S. and Dietz, B. and Günther, U. and Harney, H. L. and Miski-Oglu, M. and Richter, A. and Schäfer, F. (2012):
PT Symmetry and Spontaneous Symmetry Breaking in a Microwave Billiard.
108, In: Physical Review Letters, (2), American Physical Society, pp. 024101, [Online-Edition: http://link.aps.org/doi/10.1103/PhysRevLett.108.024101],
[Article]

Item Type: Article
Erschienen: 2012
Creators: Bittner, S. and Dietz, B. and Günther, U. and Harney, H. L. and Miski-Oglu, M. and Richter, A. and Schäfer, F.
Title: PT Symmetry and Spontaneous Symmetry Breaking in a Microwave Billiard
Language: English
Journal or Publication Title: Physical Review Letters
Volume: 108
Number: 2
Publisher: American Physical Society
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > C: Fundamentale Experimente
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > C: Fundamentale Experimente > C4: Quantenchaos und wellendynamisches Chaos
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 17 Jan 2012 13:52
Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.108.024101
Identification Number: doi:10.1103/PhysRevLett.108.024101
Alternative Abstract:
Alternative abstract Language
We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The shape of the billiard depends on two parameters. The Hamiltonian is determined from the measured resonance spectrum on a fine grid in the parameter plane. After applying a purely imaginary diagonal shift to the Hamiltonian, its eigenvalues are either real or complex conjugate on a curve, which passes through the EP. An appropriate basis choice reveals its PT symmetry. Spontaneous symmetry breaking occurs at the EP.English
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