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

Barbara Dietz; Hanns Ludwig Harney; Oleg Kirillov; Maksim Miski-Oglu; Achim Richter; F. Schäfer

doi:10.1103/PhysRevLett.106.150403

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

Barbara Dietz, Hanns Ludwig Harney, Oleg Kirillov, Maksim Miski-Oglu, Achim Richter, F. Schäfer

Mathematics, Physics and Electrical Engineering

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Abstract

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.

Original language	English
Pages (from-to)	150403
Journal	Physical Review Letters
Volume	106
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.106.150403
Publication status	Published - 15 Apr 2011

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AU - Richter, Achim

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AB - 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.

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

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