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PT symmetry and spontaneous symmetry breaking in a microwave billiard

Authors
  • Bittner, S.
  • Dietz, B.
  • Guenther, U.
  • Harney, H. L.
  • Miski-Oglu, M.
  • Richter, A.
  • Schaefer, F.
Type
Published Article
Publication Date
Dec 02, 2011
Submission Date
Jul 21, 2011
Identifiers
DOI: 10.1103/PhysRevLett.108.024101
Source
arXiv
License
Yellow
External links

Abstract

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.

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