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

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

2010-08-16

arxiv.org/abs/1008.2623v3

Phys.Rev.Lett.106:150403,2011

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.106.150403

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 non-symmetric. 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.

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