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Statistical properties of billiards with diffusive boundary scattering are investigated by means of the supersymmetric sigma-model in a formulation appropriate for chaotic ballistic systems. We study level statistics, parametric level…

Condensed Matter · Physics 2009-10-31 Ya. M. Blanter , A. D. Mirlin , B. A. Muzykantskii

We simulated the radiative response of the cavity quantum electrodynamics (QED) inductively coupled to the ring pierced by magnetic flux, and analyzed its spectral dependence to get insight into persistent current dynamics. Current…

Mesoscale and Nanoscale Physics · Physics 2023-10-12 Bogdan R. Bułka

We use magnetoconductance fluctuation measurements of phase-coherent semiconductor billiards to quantify the contributions to the nonlinear electric conductance that are asymmetric under reversal of magnetic field. We experimentally…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Marlow , R. P. Taylor , M. Fairbanks , I. Shorubalko , H. Linke

We studied the statistical properties of a quantum system in the pseudo-integrable regime through the gap ratios between consecutive energy levels of the scattering spectra. A two-dimensional quantum billiard containing a point-like…

Quantum Physics · Physics 2025-05-23 Afshin Akhshani , Małgorzata Białous , Leszek Sirko

We use a correlation function analysis of the field quadratures to characterize both the black body radiation emitted by a 50 Ohm load resistor and the quantum properties of two types of beam splitters in the microwave regime. To this end,…

Mesoscale and Nanoscale Physics · Physics 2010-09-30 M. Mariantoni , E. P. Menzel , F. Deppe , M. A. Araque Caballero , A. Baust , T. Niemczyk , E. Hoffmann , E. Solano , A. Marx , R. Gross

We study decoherence in a qubit with the distance between the two levels affected by random flips of bistable fluctuators. For the case of a single fluctuator we evaluate explicitly an exact expression for the phase-memory decay in the echo…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. M. Galperin , B. L. Altshuler , J. Bergli , D. V. Shantsev

We call a system bouncing ball billiard if it consists of a particle that is subjected to a constant vertical force and bounces inelastically on a one-dimendional vibrating periodically corrugated floor. Here we choose circular scatterers…

Chaotic Dynamics · Physics 2007-05-23 L. Matyas , R. Klages

We derive a finite-frequency fluctuation-response inequality for Markovian open quantum systems in an input-output setting. For any downstream measurement of the emitted field, the measured lock-in response-to-noise matrix is bounded by the…

Quantum Physics · Physics 2026-05-06 Jie Gu , Kangqiao Liu

We study the classical and quantum mechanics of a three-dimensional stadium billiard. It consists of two quarter cylinders that are rotated with respect to each other by 90 degrees, and it is classically chaotic. The billiard exhibits only…

Chaotic Dynamics · Physics 2008-05-13 B. Dietz , B. Moessner , T. Papenbrock , U. Reif , A. Richter

Nonlinear coupling between eigenmodes of a system leads to spectral energy redistribution. For multi-wavespeed chaotic billiards the average coupling strength can exhibit sharp discontinuities as a function of frequency related to…

Chaotic Dynamics · Physics 2007-05-23 Alexei Akolzin , Richard L. Weaver

In this letter, we demonstrate that a non-Hermitian Random Matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More…

Statistical Mechanics · Physics 2010-11-18 Charles Poli , Olivier Legrand , Fabrice Mortessagne

We present experimental and theoretical results for the fluctuation properties in the incomplete spectra of quantum systems with symplectic symmetry and a chaotic dynamics in the classical limit. To obtain theoretical predictions, we extend…

Quantum Physics · Physics 2021-05-11 Jiongning Che , Junjie Lu , 2 Xiaodong Zhang , 1 Barbara Dietz , Guozhi Chai

Using the generalized Langevin equations involving the stress tensor approach, we study the dynamics of a perfectly reflecting mirror which is exposed to the electromagnetic radiation pressure by a laser beam in a fluid at finite…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Chun-Hsien Wu , Da-Shin Lee

We study the isolated resonances occurring in conductance fluctuations of ballistic electron systems with a classically mixed phase space. In particular, we calculate the conductance and Wigner-Smith time as well as scattering states and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Arnd Bäcker , Achim Manze , Bodo Huckestein , Roland Ketzmerick

We report on first experimental signatures for chaos-assisted tunneling in a two-dimensional annular billiard. Measurements of microwave spectra from a superconducting cavity with high frequency resolution are combined with electromagnetic…

chao-dyn · Physics 2009-02-12 C. Dembowski , H. -D. Graef , A. Heine , R. Hofferbert , H. Rehfeld , A. Richter

We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive the semiclassical spectral determinant.…

chao-dyn · Physics 2009-10-30 Per Dahlqvist , Gabor Vattay

Billiards tables - a minimal model for particles moving in a confined region - are known to present classical (and quantum) different features according to their shape, ranging from strongly chaotic to integrable dynamics. Here we consider…

Chaotic Dynamics · Physics 2026-05-13 Roberto Artuso , Matteo Burlo

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

We apply periodic orbit theory to a quantum billiard on a torus with a variable number N of small circular scatterers distributed randomly. Provided these scatterers are much smaller than the wave length they may be regarded as sources of…

chao-dyn · Physics 2009-10-31 Per Dahlqvist

We propose a model for scattering in a flat resonator with a thin antenna. The results are applied to rectangular microwave cavities. We compute the resonance spacing distribution and show that it agrees well with experimental data provided…

Quantum Physics · Physics 2009-10-30 P. Exner , P. Šeba