2010/08/31 by Barbara Dietz, B. Dietz, H. L. Harney +6 · 121 citations
Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Dissipative system #Dynamical billiards #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Hermitian matrix #Invariance principle #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #cond-mat.other #math-ph #math.MP #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physrevlett.106.150403
published in Physical Review Letters 106(15), 150403 (American Physical Society)
arxiv created 2010/11/30 · openalex publication_date 2011/04/15 · arxiv updated 2011/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.