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most citedTools for quantum simulation with ultracold atoms in optical lattices

454 citations · 2.3k across the 25 of their papers we have counts for

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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…

nlin.CD2011★ 8 cited

Double-Slit Experiments with Microwave Billiards

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

Single and double-slit experiments are performed with two microwave billiards with the shapes of a rectangle, respectively, a quarter stadium. The classical dynamics of the former…

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…

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…

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…

nlin.CD2008★ 31 cited

Chaotic Scattering in the Regime of Weakly Overlapping Resonances

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

We measure the transmission and reflection amplitudes of microwaves in a resonator coupled to two antennas at room temperature in the regime of weakly overlapping resonances and in…

nlin.CD2007★ 37 cited

Spectral properties of Bunimovich mushroom billiards

B. Dietz, T. Friedrich, M. Miski-Oglu +2

Properties of a quantum mushroom billiard in the form of a superconducting microwave resonator have been investigated. They reveal unexpected nonuniversal features such as, e.g., a…

nlin.CD2006★ 59 cited

First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard

E. Bogomolny, B. Dietz, T. Friedrich +4

With a perturbation body technique intensity distributions of the electric field strength in a flat microwave billiard with a barrier inside up to mode numbers as large as about 70…