activity
20022024
most citedPT symmetry and spontaneous symmetry breaking in a microwave billiard

336 citations · 1.4k across the 26 of their papers we have counts for

collaborators

26 papers

cond-mat.mes-hall2024★ 5 cited

Closed and open superconducting microwave waveguide networks as a model for quantum graphs

Barbara Dietz, Tobias Klaus, Marco Masi +4

We report on high-precision measurements that were performed with superconducting waveguide networks with the geometry of a tetrahedral and a honeycomb graph. They consist of junct…

nlin.CD2015★ 36 cited

Spectral properties of Dirac billiards at the van Hove singularities

B. Dietz, T. Klaus, M. Miski-Oglu +3

We study distributions of the ratios of level spacings of a rectangular and an Africa-shaped superconducting microwave resonator containing circular scatterers on a triangular grid…

quant-ph2015★ 13 cited

Cross-section Fluctuations in Open Microwave Billiards and Quantum Graphs: The Counting-of-Maxima Method Revisited

B. Dietz, A. Richter, R. Samajdar

The fluctuations exhibited by the cross-sections generated in a compound-nucleus reaction or, more generally, in a quantum-chaotic scattering process, when varying the excitation e…

nlin.CD2015★ 94 cited

Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards

B. Dietz, A. Richter

Experiments with superconducting microwave cavities have been performed in our laboratory for more than two decades. The purpose of the present article is to recapitulate some of t…

nlin.CD2014★ 9 cited

Spectral Properties and Dynamical Tunneling in Constant-Width Billiards

B. Dietz, T. Guhr, B. Gutkin +2

We determine with unprecedented accuracy the lowest 900 eigenvalues of two quantum constant-width billiards from resonance spectra measured with flat, superconducting microwave res…

physics.optics2014★ 9 cited

Dielectric Square Resonator Investigated with Microwave Experiments

S. Bittner, E. Bogomolny, B. Dietz +2

We present a detailed experimental study of the symmetry properties and the momentum space representation of the field distributions of a dielectric square resonator as well as the…

nlin.CD2014★ 27 cited

Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance

S. Bittner, B. Dietz, H. L. Harney +3

Scattering experiments with microwave cavities were performed and the effects of broken time-reversal invariance (TRI), induced by means of a magnetized ferrite placed inside the c…

physics.optics2013★ 16 cited

Experimental Observation of Localized Modes in a Dielectric Square Resonator

S. Bittner, E. Bogomolny, B. Dietz +2

We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the exp…

cond-mat.mes-hall2013★ 73 cited

Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards

B. Dietz, M. Miski-Oglu, N. Pietralla +4

We present experimental results for the density of states (DOS) of a superconducting microwave Dirac billiard which serves as an idealized model for the electronic properties of gr…

cond-mat.mes-hall2013★ 26 cited

Bound States in Sharply Bent Waveguides: Analytical and Experimental Approach

S. Bittner, B. Dietz, M. Miski-Oglu +4

Quantum wires and electromagnetic waveguides possess common features since their physics is described by the same wave equation. We exploit this analogy to investigate experimental…

physics.optics2012★ 13 cited

Trace formula for chaotic dielectric resonators tested with microwave experiments

S. Bittner, B. Dietz, R. Dubertrand +3

We measured the resonance spectra of two stadium-shaped dielectric microwave resonators and tested a semiclassical trace formula for chaotic dielectric resonators proposed by Bogom…

physics.optics2011★ 17 cited

Application of a trace formula to the spectra of flat three-dimensional dielectric resonators

S. Bittner, E. Bogomolny, B. Dietz +2

The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formul…

cond-mat.other2011★ 60 cited

Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard

S. Bittner, B. Dietz, M. Miski-Oglu +1

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in…

quant-ph2011★ 336 cited

PT symmetry and spontaneous symmetry breaking in a microwave billiard

S. Bittner, B. Dietz, U. Guenther +4

We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP…

nlin.CD2010★ 121 cited

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

B. Dietz, H. L. Harney, O. N. Kirillov +3

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 H…

nlin.CD2010★ 18 cited

Experimental test of a trace formula for two-dimensional dielectric resonators

S. Bittner, E. Bogomolny, B. Dietz +4

Resonance spectra of two-dimensional dielectric microwave resonators of circular and square shapes have been measured. The deduced length spectra of periodic orbits were analyzed a…

cond-mat.mes-hall2010★ 132 cited

Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene

S. Bittner, B. Dietz, M. Miski-Oglu +3

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show…

nucl-th2010★ 7 cited

Photonuclear Reactions induced by Intense Short Laser Pulses

B. Dietz, H. A. Weidenmueller

A measurement of the decay in time of nuclei excited by an intense short laser pulse of energy E(0) yields the Fourier transform of the autocorrelation function of the associated s…

nlin.CD2009★ 29 cited

Cross-Section Fluctuations in Chaotic Scattering

B. Dietz, H. L. Harney, A. Richter +2

For the theoretical prediction of cross-section fluctuations in chaotic scattering, the cross-section autocorrelation function is needed. That function is not known analytically. U…

nlin.CD2009★ 2 cited

Friedel Oscillations in Microwave Billiards

A. Baecker, B. Dietz, T. Friedrich +4

Friedel oscillations of electron densities near step edges have an analog in microwave billiards. A random plane wave model, normally only appropriate for the eigenfunctions of a p…

nlin.CD2009★ 96 cited

Quantum Chaotic Scattering in Microwave Resonators

B. Dietz, T. Friedrich, H. L. Harney +4

In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we have measured moduli and phases of reflection and transmission amplitudes in the regimes o…

nlin.CD2009★ 10 cited

Nonperiodic echoes from quantum mushroom billiard hats

B. Dietz, T. Friedrich, M. Miski-Oglu +3

Nonperiodic tunable quantum echoes have been observed in experiments with an open microwave billiard whose geometry under certain conditions provides Fibonacci like sequences of cl…

physics.optics2009★ 23 cited

Experimental Test of a Two-dimensional Approximation for Dielectric Microcavities

S. Bittner, B. Dietz, M. Miski-Oglu +3

Open dielectric resonators of different shapes are widely used for the manufacture of microlasers. A precise determination of their resonance frequencies and widths is crucial for…

nlin.CD2009★ 58 cited

Induced Violation of Time-Reversal Invariance in the Regime of Weakly Overlapping Resonances

B. Dietz, T. Friedrich, H. L. Harney +5

We measure the complex scattering amplitudes of a flat microwave cavity (a "chaotic billiard"). Time-reversal T-invariance is partially broken by a magnetized ferrite placed within…