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


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

Dietz, B.; Harney, H. L.; Kirillov, O. N.; Miski-Oglu, M.; Richter, A.; Schaefer, F.

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.

Keywords: Microwave billiard; time-reversal symmetry; non-Hermitian hamiltonian; geometric phase; exceptional point; geometric amplitude; geometric pumping

Permalink: https://www.hzdr.de/publications/Publ-15603
Publ.-Id: 15603