title: Statistics of resonance states in a weakly open chaotic cavity with continuously distributed losses.
abstract: In this Rapid Communication, we demonstrate that a non-Hermitian random matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More specifically, the statistics of resonance states in an open two-dimensional chaotic microwave cavity are investigated by solving the Maxwell equations with lossy boundaries subject to Ohmic dissipation. We successfully compare the statistics of its complex-valued resonance states and associated widths with analytical predictions based on a non-Hermitian effective Hamiltonian model defined by a finite number of fictitious open channels.
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS UMR 6622, Université de Nice-Sophia Antipolis, 06108 Nice Cedex 2, France.
authors.forename: Charles
authors.initials: C
authors.lastname: Poli
authors.forename: Olivier
authors.initials: O
authors.lastname: Legrand
authors.forename: Fabrice
authors.initials: F
authors.lastname: Mortessagne