Wave Dynamical Chaos in a Superconducting Three-Dimensional Sinai Billiard
arXiv:chao-dyn/9706025 · doi:10.1103/PhysRevLett.79.1026
Abstract
Based on very accurate measurements performed on a superconducting microwave resonator shaped like a desymmetrized three-dimensional (3D) Sinai billiard, we investigate for the first time spectral properties of the vectorial Helmholtz, i.e. non-quantum wave equation for a classically totally chaotic and theoretically precisely studied system. We are thereby able to generalize some aspects of quantum chaos and present some results which are consequences of the polarization features of the electromagnetic waves.
4 pages RevTex; 4 postscript figures; to be published in Phys. Rev. Lett.; Info: [email protected]
References in corpus (2)
Cited by in corpus (28)
- Quantum chaos in optical systems: The annular billiard
- Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
- Spectral statistics for unitary transfer matrices of binary graphs
- Lasing Threshold and Mode Competition in Chaotic Cavities
- Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity
- Nodal portraits of quantum billiards: Domains, lines, and statistics
- Anderson Localization in a String of Microwave Cavities
- Correlations of electromagnetic fields in chaotic cavities
- Experimental vs. Numerical Eigenvalues of a Bunimovich Stadium Billiard -- A Comparison
- Microwave fidelity studies by varying antenna coupling
- Lossy chaotic electromagnetic reverberation chambers: Universal statistical behavior of the vectorial field
- Numerical study of a three-dimensional generalized stadium billiard
- Mode Fluctuation Distribution for Spectra of Superconducting Microwave Billiards
- Missing level statistics and the power spectrum of level fluctuations analysis of three-dimensional chaotic microwave cavities
- R-matrix theory of driven electromagnetic cavities
- Quantization of a billiard model for interacting particles
- Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics
- Experimental investigation of electric field distributions in a chaotic 3D microwave rough billiard
- Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard
- Scattering Statistics in Nonlinear Wave Chaotic Systems
- Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
- Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry
- Time-reversal Invariance Violation and Quantum Chaos Induced by Magnetization in Ferrite-Loaded Resonators
- Boundary perturbations and the Helmholtz equation in three dimensions
- Robust Wave Splitters Based on Scattering Singularities in Complex non-Hermitian Systems
- The quantum three-dimensional Sinai billiard - a semiclassical analysis
- Metric deformation and boundary value problems in 3D
- Universal Frequency Correlations and Recurrence Statistics of Complex Impedance Matrices