Generalization of Wigner Time Delay to Sub-Unitary Scattering Systems
arXiv:2101.08335 · doi:10.1103/PhysRevE.103.L050203
Abstract
We introduce a complex generalization of Wigner time delay for sub-unitary scattering systems. Theoretical expressions for complex time delay as a function of excitation energy, uniform and non-uniform loss, and coupling, are given. We find very good agreement between theory and experimental data taken on microwave graphs containing an electronically variable lumped-loss element. We find that time delay and the determinant of the scattering matrix share a common feature in that the resonant behavior in and serves as a reliable indicator of the condition for Coherent Perfect Absorption (CPA). This work opens a new window on time delay in lossy systems and provides a means to identify the poles and zeros of the scattering matrix from experimental data. The results also enable a new approach to achieving CPA at an arbitrary energy/frequency in complex scattering systems.
arXiv comment8 pages, 2 figures. Supplementary material added
References in corpus (58)
- Measuring the Transmission Matrix in Optics : An Approach to the Study and Control of Light Propagation in Disordered Media
- Coherent Perfect Absorbers: Time-reversed Lasers
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Coherent perfect absorbers: linear control of light with light
- Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
- Experimental simulation of quantum graphs by microwave networks
- Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Mesoscopic Capacitors: A Statistical Analysis
- Spatio-temporal Control of Light Transmission through a Multimode Fiber with Strong Mode Coupling
- Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering
- Focusing inside Disordered Media with the Generalized Wigner-Smith Operator
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Breakdown of Diffusion in Dynamics of Extended Waves in Mesoscopic Media
- Perfect Absorption in a Metasurface-Programmable Complex Scattering Enclosure
- Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
- Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
- Wigner time delay and related concepts -- Application to transport in coherent conductors
- Wigner time-delay distribution in chaotic cavities and freezing transition
- S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonances
- Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
- Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem
- Resonance widths in open microwave cavities studied by harmonic inversion
- Optimal Wave Fields for Micro-manipulation in Complex Scattering Environments
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- Statistics of S-matrix poles in Few-Channel Chaotic Scattering: Crossover from Isolated to Overlapping Resonances
- Time Delay Correlations in Chaotic Scattering: Random Matrix Approach
- Transmission eigenchannels and the densities of states of random media
- On the statistics of resonances and non-orthogonal eigenfunctions in a model for single-channel chaotic scattering
- Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers
- Perfect Absorption in Complex Scattering Systems with or without Hidden Symmetries
- Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries
- Tau-Function Theory of Quantum Chaotic Transport with beta=1,2,4
- Delay times and reflection in chaotic cavities with absorption
- Generating particle-like scattering states in wave transport
- Universal transport properties of open microwave cavities with and without time-reversal symmetry
- Induced vs Spontaneous Breakdown of S-matrix Unitarity: Probability of No Return in Quantum Chaotic and Disordered Systems
- Distribution of Resonance Widths and Dynamics of Continuum Coupling
- Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
- Experimental Observation of the Spectral Gap in Microwave n-Disk Systems
- Optimizing light storage in scattering media with the dwell-time operator
- Interfering resonances in a quantum billiard
- Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results
- Classical dynamics on graphs
- Efficient semiclassical approach for time delays
- Wavefront Shaping with a Tunable Metasurface: Creating Coldspots and Coherent Perfect Absorption at Arbitrary Frequencies
- Selectively exciting quasi-normal modes in open disordered systems
- Statistics of eigenfunctions in open chaotic systems: a perturbative approach
- Particlelike scattering states in a microwave cavity
- Lifetime statistics of quantum chaos studied by a multiscale analysis
- Statistical distribution of the Wigner-Smith time-delay matrix moments for chaotic cavities
- Statistics of time delay and scattering correlation functions in chaotic systems I. Random Matrix Theory
- Chaotic Scattering with Localized Losses: S-Matrix Zeros and Reflection Time Difference for Systems with Broken Time Reversal Invariance
- Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering
- Resonance Scattering of Waves in Chaotic Systems
- Particlelike wave packets in complex scattering systems
- Delay-time distribution in the scattering of time-narrow wave packets. (I)
- Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
Cited by in corpus (20)
- Cavity magnomechanics: from classical to quantum
- Meta-Programmable Analog Differentiator
- Reflectionless Programmable Signal Routers
- Exceptional points of PT-symmetric reflectionless states in complex scattering systems
- Polaromechanics: cavity-magnon polaritons strongly coupled to phonons
- Statistics of Complex Wigner Time Delays as a counter of S-matrix poles: Theory and Experiment
- Use of Transmission and Reflection Complex Time Delays to Reveal Scattering Matrix Poles and Zeros: Example of the Ring Graph
- Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
- A Physical Interpretation of Imaginary Time Delay
- Control of the Scattering Properties of Complex Systems By Means of Tunable Metasurfaces
- Wigner-Smith Time Delay Matrix for Electromagnetics: Systems with Material Dispersion and Losses
- Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
- Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
- Asymmetric Transmission Through a Classical Analogue of the Aharonov-Bohm Ring
- Experimental Realization of Anti-Unitary Wave-Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics
- Wigner time for electromagnetic radiation in plasma
- Superuniversal Statistics with Topological Origins for non-Hermitian Scattering Singularities
- Wigner-Smith Time Delay Matrix for Electromagnetics: Guiding and Periodic Systems with Evanescent Modes
- Robust Wave Splitters Based on Scattering Singularities in Complex non-Hermitian Systems
- Universality and threshold laws for collision lifetimes at ultralow temperatures