PT symmetry and spontaneous symmetry breaking in a microwave billiard |
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Authors: | Bittner S Dietz B Günther U Harney H L Miski-Oglu M Richter A Schäfer F |
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Institution: | Institut für Kernphysik, Technische Universit?t Darmstadt, Darmstadt, Germany. |
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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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