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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 the cavity. We extend the random-matrix approach to…

We report on the experimental realization of a flat, superconducting microwave resonator, a microwave billiard, with partially violated time-reversal (T ) invariance, induced by inserting a ferrite into the cavity and magnetizing it with an…

Mesoscale and Nanoscale Physics · Physics 2021-05-11 B. Dietz , T. Klaus , M. Miski-Oglu , A. Richter , M. Wunderle

We report on the experimental investigation of the fluctuation properties in the resonance frequency spectra of a flat resonator simulating a dissipative quantum billiard subject to partial time-reversal invariance violation (TIV) which is…

Quantum Physics · Physics 2021-05-12 Malgorzata Bialous , Barbara Dietz , Leszek Sirko

We investigate the fluctuation properties in the eigenfrequency spectra of flat cylindrical microwave cavities that are homogeneously filled with magnetized ferrite. These studies are motivated by experiments in which only small pieces of…

Chaotic Dynamics · Physics 2023-08-16 Weihua Zhang , Xiaodong Zhang , Barbara Dietz

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). The shape of the billiard depends on two parameters. The…

Quantum Physics · Physics 2012-01-12 S. Bittner , B. Dietz , U. Guenther , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer

Two superconducting microwave billiards have been electromagnetically coupled in a variable way. The spectrum of the entire system has been measured and the spectral statistics analyzed as a function of the coupling strength. It is shown…

We report on the experimental investigation of the dependence of the elastic enhancement, i.e., enhancement of scattering in backward direction over scattering in other directions of a wave-chaotic system with partially violated…

Classical Physics · Physics 2021-05-11 Malgorzata Bialous , Barbara Dietz , Leszek Sirko

Flat microwave cavities can be used to experimentally simulate quantum mechanical systems. By coupling two such cavities, we study the equivalent to the symmetry breaking in quantum mechanics. As the coupling is tunable, we can measure…

Chaotic Dynamics · Physics 2007-05-23 B. Dietz. T. Guhr , H. L. Harney , A. Richter

We investigate the transmission and reflection survival probabilities for the chaotic stadium billiard with two holes placed asymmetrically. Classically, these distributions are shown to have algebraic or exponential decays depending on the…

Chaotic Dynamics · Physics 2013-05-29 Carl P. Dettmann , Orestis Georgiou

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 is regular, that of the latter is chaotic. Microwaves can…

Chaotic Dynamics · Physics 2011-07-28 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schäfer

We measure the transmission through asymmetric and reflection-symmetric chaotic microwave cavities in dependence of the number of attached wave guides. Ferrite cylinders are placed inside the cavities to break time-reversal symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2017-11-28 H. Schanze , M. Martinez-Mares , C. H. Lewenkopf , H. -J. Stöckmann

The backward scattering of TM-polarized light by a two-side-open subwavelength slit in a metal film is analyzed. We show that the reflection coefficient versus wavelength possesses a Fabry-Perot-like dependence that is similar to the…

Optics · Physics 2013-05-29 S. V. Kukhlevsky , M. Mechler , L. Csapo , K. Janssens , O. Samek

Recently it has been shown that time-reversal invariant systems with discrete symmetries may display in certain irreducible subspaces spectral statistics corresponding to the Gaussian unitary ensemble (GUE) rather than to the expected…

Chaotic Dynamics · Physics 2009-11-07 R. Schaefer , M. Barth , F. Leyvraz , M. Mueller , T. H. Seligman , H. -J. Stoeckmann

From a reflection measurement in a rectangular microwave billiard with randomly distributed scatterers the scattering and the ordinary fidelity was studied. The position of one of the scatterers is the perturbation parameter. Such…

Quantum Physics · Physics 2010-06-07 R. Hoehmann , U. Kuhl , H. -J. Stoeckmann

We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Dietz , A. Heine , A. Richter , O. Bohigas , P. Leboeuf

We introduce a new family of billiards which break time reversal symmetry in spite of having piece-wise straight trajectories. We show that our billiards preserve the ergodic and mixing properties of conventional billiards while they may…

Chaotic Dynamics · Physics 2013-10-01 Giulio Casati , Tomaz Prosen

Motivated by experiments carried out in the near infrared using zero-loop-area Sagnac interferometers, we explore electromagnetic signatures of time-reversal symmetry breaking (TRSB) at microwave frequencies, using as a prototypical example…

Superconductivity · Physics 2025-08-18 T. Chouinard , D. M. Broun

We demonstrate that in the thermostatted three-dimensional Lorentz gas the symmetry of the Lyapunov spectrum can be broken by adding to the system an external magnetic field not perpendicular to the electric field. For perpendicular field…

Chaotic Dynamics · Physics 2009-10-31 M. Dolowschiak , Z. Kovacs

We consider a slowly rotating rectangular billiard with moving boundaries and use the canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution certain resonance conditions can be…

Chaotic Dynamics · Physics 2012-06-26 A. P. Itin , A. I. Neishtadt

Integrability of a square billiard is spontaneously broken as it rotates about one of its corners. The system becomes quasi-integrable where the invariant tori are broken with respect to a certain parameter, $\lambda = 2E/\omega^{2}$ where…

Chaotic Dynamics · Physics 2014-06-13 Nandan Jha , Sudhir R. Jain
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