title: Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations.
abstract: The change of resonance widths in an open system under a perturbation of its interior has been recently introduced by Fyodorov and Savin [Phys. Rev. Lett. 108, 184101 (2012)] as a sensitive indicator of the nonorthogonality of resonance states. We experimentally study universal statistics of this quantity in weakly open two-dimensional microwave cavities and reverberation chambers realizing scalar and electromagnetic vector fields, respectively. We consider global as well as local perturbations, and also extend the theory to treat the latter case. The influence of the perturbation type on the width shift distribution is more pronounced for many-channel systems. We compare the theory to experimental results for one and two attached antennas and to numerical simulations with higher channel numbers, observing a good agreement in all cases.
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS, Université Nice Sophia Antipolis, UMR 7336 Parc Valrose, 06100 Nice, France.
authors.forename: J-B
authors.initials: JB
authors.lastname: Gros
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS, Université Nice Sophia Antipolis, UMR 7336 Parc Valrose, 06100 Nice, France.
authors.forename: U
authors.initials: U
authors.lastname: Kuhl
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS, Université Nice Sophia Antipolis, UMR 7336 Parc Valrose, 06100 Nice, France.
authors.forename: O
authors.initials: O
authors.lastname: Legrand
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS, Université Nice Sophia Antipolis, UMR 7336 Parc Valrose, 06100 Nice, France.
authors.forename: F
authors.initials: F
authors.lastname: Mortessagne
authors.affiliation: Université Paris-Est, ESYCOM (EA 2552), UPEMLV, ESIEE-Paris, CNAM, 77454 Marne-la-Vallée, France.
authors.forename: E
authors.initials: E
authors.lastname: Richalot
authors.affiliation: Department of Mathematics, Brunel University London, Uxbridge UB8 3PH, United Kingdom.
authors.forename: D V
authors.initials: DV
authors.lastname: Savin