PT symmetry and spontaneous symmetry breaking in a microwave billiard

Details PT symmetry and spontaneous symmetry breaking in a microwave billiard PT symmetry and spontaneous symmetry breaking in a microwave billiard

2011-07-21

arxiv.org/abs/1107.4256v3

Phys. Rev. Lett. 108: 024101, 2012

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.108.024101

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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