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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 report high-resolution measurements of thermal fluctuations in microwave and mechanical resonators using a dual-channel readout system. The latter comprises a low-noise amplifier, an I/Q-mixer, and a cross-correlator. We discovered that,…

Instrumentation and Detectors · Physics 2026-01-21 Michael T Hatzon , Eugene N Ivanov , Aaron Quiskamp , Michael E Tobar

We study the scattering of torsional waves through a quasi-one-dimensional cavity both, from the experimental and theoretical points of view. The experiment consists of an elastic rod with square cross section. In order to form a cavity, a…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 G. Báez , M. Cobián-Suárez , A. M. Martínez-Argüello , M. Martínez-Mares , R. A. Méndez-Sánchez

During the last few years we have studied the chaotic behavior of special Euclidian geometries, so-called billiards, from the quantum or in more general sense "wave dynamical" point of view. Due to the equivalence between the stationary…

chao-dyn · Physics 2008-02-03 H. Rehfeld , H. Alt , C. Dembowski , H. -D. Graef , R. Hofferbert , A. Richter , H. Lengeler

We study analytically the dynamics of two-dimensional rectangular lattices with periodic boundary conditions. We consider anisotropic initial data supported on one low-frequency Fourier mode. We show that, in the continuous approximation,…

Dynamical Systems · Mathematics 2021-04-23 Matteo Gallone , Stefano Pasquali

Recent experimental measurements of the microwave absorption in the frequency range 1-4 GHz show peaks at several values of the filling factor,\nu=nh/eB. Since the filling factor multiplies the magnetic field, it is similar to the Lande's…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The level dynamics of pseudointegrable systems with different genus numbers $g$ is studied experimentally using microwave cavities. For higher energies the distribution of the eigenvalue velocities is Gaussian, as it is expected for chaotic…

Statistical Mechanics · Physics 2009-11-10 Yuriy Hlushchuk , Ulrich Kuhl , Stefanie Russ

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 a frequency range of 3 to 16 GHz. Below 10.1 GHz the…

Chaotic Dynamics · Physics 2009-03-04 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

We present the first experimental study of the electric field distributions E_N of a three-dimensional (3D) microwave chaotic rough billiard with the translational symmetry. The translational symmetry means that the cross-section of the…

Chaotic Dynamics · Physics 2009-03-18 Oleg Tymoshchuk , Nazar Savytskyy , Oleh Hul , Szymon Bauch , Leszek Sirko

We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized…

Chaotic Dynamics · Physics 2007-05-23 P. W. Brouwer

We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities, and how these fluctuations affect the measurement of scattering matrix elements. Applying this…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 B. L. Brock , M. P. Blencowe , A. J. Rimberg

We report frictional drag reduction and a complete flow re-laminarization of elastic turbulence (ET) at vanishing inertia in a viscoelastic channel flow past an obstacle. We show that intensity of observed elastic waves and wall-normal…

Fluid Dynamics · Physics 2022-08-09 M. Vijay Kumar , Atul Varshney , Dongyang Li , Victor Steinberg

Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The enhancement is investigated…

Analysis of PDEs · Mathematics 2017-11-21 Yixian Gao , Peijun Li , Xiaokai Yuan

Recent experiments on quantum behavior in microfabricated solid-state systems suggest tantalizing connections to quantum optics. Several of these experiments address the prototypical problem of cavity quantum electrodynamics: a two-level…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. K. Irish , J. Gea-Banacloche , I. Martin , K. C. Schwab

The quench dynamics of the Hubbard model in tilted and harmonic potentials is discussed within the semiclassical picture. Applying the fermionic truncated Wigner approximation (fTWA), the dynamics of imbalances for charge and spin degrees…

Statistical Mechanics · Physics 2022-10-18 Aleksander Kaczmarek , Adam S. Sajna

We perform a detailed study of the chaotic component in mixed-type Hamiltonian systems on the example of a family of billiards [introduced by Robnik in J. Phys. A: Math. Gen. 16, 3971 (1983)]. The phase space is divided into a grid of cells…

Chaotic Dynamics · Physics 2021-04-14 Črt Lozej , Marko Robnik

We present a cavity-electromechanical system comprising a superconducting quantum interference device which is embedded in a microwave resonator and coupled via a pick-up loop to a 6 $\mu$g magnetically-levitated superconducting sphere. The…

The propagation of acoustic waves in a poro-elastic medium of infinite extension containing spherical cavities randomly distributed is investigated. The scattering coefficients are computed in the low frequency limit using the sealed pore…

Fluid Dynamics · Physics 2022-06-15 Dossou Gnadjro , Amah D'Almeida , Hervé Franklin

The recent introduction of the concept of scattering fidelity, causes us to revisit the experiment by Lobkis and Weaver [Phys. Rev. Lett. 90, 254302 (2003)]. There, the ``distortion'' of the coda of an acoustic signal is measured under…

Chaotic Dynamics · Physics 2009-11-11 T. Gorin , T. H. Seligman , R. L. Weaver

Quantum revival is described as the time-periodic reconstruction of a wave packet initially localized in space and time. This effect is expected in finite-size systems which exhibits commensurable discrete spectrum such as the infinite…

Quantum Physics · Physics 2017-08-02 Marc Dubois , Gautier Lefebvre , Patrick Sebbah