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

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 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.

References in corpus (7)

• Visualization of Branch Points in PT-Symmetric Waveguides
• Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
• Exceptional Points in Atomic Spectra
• Coupling of eigenvalues of complex matrices at diabolic and exceptional points
• Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
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Cited by in corpus (7)

• Quantum fluids of light
• The physics of exceptional points
• Spectral singularities in PT-symmetric periodic finite-gap systems
• Fingerprints of exceptional points in the survival probability of resonances in atomic spectra
• The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians
• Dynamical stabilization and time in open quantum systems
• PT phase transition in multidimensional quantum systems