Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
arXiv:2206.07873 · doi:10.1103/PhysRevE.106.044209
Abstract
We report on experiments that were performed with microwave waveguide systems and demonstrate that in the frequency range of a single transversal mode they may serve as a model for closed and open quantum graphs. These consist of bonds that are connected at vertices. On the bonds, they are governed by the one-dimensional Schrödinger equation with boundary conditions imposed at the vertices. The resulting transport properties through the vertices may be expressed in terms of a vertex scattering matrix. Quantum graphs with incommensurate bond lengths attracted interest within the field of quantum chaos because, depending on the characteristics of the vertex scattering matrix, its wave dynamic may exhibit features of a typical quantum system with chaotic counterpart. In distinction to microwave networks, which serve as an experimental model of quantum graphs with Neumann boundary conditions, the vertex scattering matrices associated with a waveguide system depend on the wavenumber and the wave functions can be determined experimentally. We analyze the spectral properties of microwave waveguide systems with preserved and partially violated time-reversal invariance, and the properties of the associated wave functions. Furthermore, we study properties of the scattering matrix describing the measurement process within the frame work of random matrix theory for quantum chaotic scattering systems.
References in corpus (56)
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Random Matrix Theories in Quantum Physics: Common Concepts
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
- Kirchhoff's Rule for Quantum Wires
- Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics
- Experimental simulation of quantum graphs by microwave networks
- Periodic-Orbit Theory of Level Correlations
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Chaotic Scattering on Individual Quantum Graphs
- Distribution of the S-matrix in chaotic microwave cavities with direct processes and absorption
- Quantum Chaotic Scattering in Microwave Resonators
- Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
- Distribution of reflection coefficients in absorbing chaotic microwave cavities
- Joint probability densities of level spacing ratios in random matrices
- Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
- Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
- Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
- A microwave realization of the Gaussian symplectic ensemble
- Universal spectral statistics in quantum graphs
- Classical 1D maps, quantum graphs and ensembles of unitary matrices
- First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
- Universal Quantum Graphs
- Crossover from Orthogonal to Unitary Symmetry for Ballistic Electron Transport in Chaotic Microstructures
- Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering
- Scattering theory on graphs
- Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity
- Non-Weyl Microwave Graphs
- Investigation of nodal domains in the chaotic microwave ray-splitting rough billiard
- Anderson Localization in a String of Microwave Cavities
- Induced Time-Reversal Symmetry Breaking Observed in Microwave Billiards
- Universal Chaotic Scattering on Quantum Graphs
- Chaos and regularity in the doubly magic nucleus 208Pb
- Eigenstate Structure in Graphs and Disordered Lattices
- Chaotic Scattering in the Regime of Weakly Overlapping Resonances
- Cross-Section Fluctuations in Chaotic Scattering
- Quantum graphs where back-scattering is prohibited
- Bound States in Sharply Bent Waveguides: Analytical and Experimental Approach
- Missing-level statistics in classically chaotic quantum systems with symplectic symmetry
- Statistics of Complex Wigner Time Delays as a counter of S-matrix poles: Theory and Experiment
- A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles
- Departure of some parameter-dependent spectral statistics of irregular quantum graphs from Random Matrix Theory predictions
- Transition from Gaussian-orthogonal to Gaussian-unitary ensemble in a microwave billiard with threefold symmetry
- Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's matrices for networks with broken time reversal invariance
- Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison
- Resonances and poles in isoscattering microwave networks and graphs
- How T-invariance violation leads to an enhanced backscattering with increasing openness of a wave-chaotic system
- Nodal domains in open microwave systems
- Transport studies in three-terminal microwave graphs with orthogonal, unitary, and symplectic symmetry
- Nonperiodic echoes from quantum mushroom billiard hats
- Correlation Widths in Quantum--Chaotic Scattering
- Experimental investigation of the fluctuations in nonchaotic scattering in microwave billiards
- Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance
- Phenomenological approach to transport through three-terminal disordered wires
- A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs
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