Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations
arXiv:cond-mat/0411576 · doi:10.1103/PhysRevB.71.125133
Abstract
We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart. This opens a possibility to use experimentally measurable delay times as a sensitive probe of eigenfunction fluctuations. For the particular case of quasi-one dimensional geometry of the sample we use an alternative technique to derive the probability density of partial delay times for any number of open channels.
arXiv comment12 pages; published version with updated references
References in corpus (55)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Statistics of energy levels and eigenfunctions in disordered systems
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
- Multifractality and critical fluctuations at the Anderson transition
- Quantum mechanical time-delay matrix in chaotic scattering
- Quantum Graphs: A simple model for Chaotic Scattering
- Experimental studies of Chaos and Localization in Quantum Wavefunctions
- Mesoscopic Fluctuations of Eigenfunctions and "Level Velocity" Distribution in Disordered Metals
- Mesoscopic Capacitors: A Statistical Analysis
- Spectral Rigidity and Eigenfunction Correlations at the Anderson Transition
- Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
- Distribution of reflection coefficients in absorbing chaotic microwave cavities
- Universality of the Wigner time delay distribution for one-dimensional random potentials
- Multifractality: generic property of eigenstates of 2D disordered metals.
- Reducing nonideal to ideal coupling in random matrix description of chaotic scattering: Application to the time-delay problem
- SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME
- Parametric Correlations of Scattering Phase Shifts and Fluctuations of Delay Times in Few-Channel Chaotic Scattering
- Dimensionality dependence of the wave function statistics at the Anderson transition
- Point-Contact Conductances at the Quantum Hall Transition
- Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- Time Delay Correlations in Chaotic Scattering: Random Matrix Approach
- General relation between state density and dwell times in mesoscopic systems
- Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries
- Delay times and reflection in chaotic cavities with absorption
- Long-Range Spatial Correlations of Eigenfunctions in Quantum Disordered Systems
- Distribution of proper delay times in quantum chaotic scattering: A crossover from ideal to weak coupling
- Induced vs Spontaneous Breakdown of S-matrix Unitarity: Probability of No Return in Quantum Chaotic and Disordered Systems
- Statistics of Rare Events in Disordered Conductors
- Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime
- Correlations of Eigenfunctions in Disordered Systems
- The Effect of Evanescent Modes and Chaos on Deterministic Scattering in Electron Waveguides
- Statistics of Dynamics of Localized Waves
- Statistics of resonances and delay times: A criterion for Metal-Insulator transitions
- Anderson Localization in a String of Microwave Cavities
- Statistical properties of phases and delay times of the one-dimensional Anderson model with one open channel
- Time Delay Correlations and Resonances in 1D Disordered Systems
- Imaginary Potential as a Counter of Delay Time for Wave Reflection from a 1D Random Potential
- Statistics of resonances and of delay times in quasiperiodic Schr"odinger equations
- Direct Scattering Processes and Signatures of Chaos in Quantum Waveguides
- Non-exponential Dissipation in a Lossy Elastodynamic Billiard, Comparison with Porter-Thomas and Random Matrix Predictions
- Point-Contact Conductances from Density Correlations
- Quantum time-delay in chaotic scattering: a semiclassical approach
- Signatures of Prelocalized States in Classically Chaotic Systems
- Open orbits and the semiclassical dwell time
- From chaos to disorder: Statistics of the eigenfunctions of microwave cavities
- The problem of quantum chaotic scattering with direct processes reduced to the one without
- Distribution of the local density of states, reflection coefficient and Wigner delay time in absorbing ergodic systems at the point of chiral symmetry
- Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
- On the classical-quantum correspondence for the scattering dwell time
- On the spatial structure of anomalously localised states in disordered conductors
- Coherent backscattering effect on wave dynamics in a random medium
- Transmission delay times of localized waves
- Structure of quantum disordered wave functions: weak localization, far tails, and mesoscopic transport
Cited by in corpus (33)
- Anderson Transitions
- Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
- Exact relations between multifractal exponents at the Anderson transition
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- Wigner time delay and related concepts -- Application to transport in coherent conductors
- Wigner time-delay distribution in chaotic cavities and freezing transition
- Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory
- Functionals of the Brownian motion, localization and metric graphs
- Probing the eigenfunction fractality with a stop watch
- Efficient semiclassical approach for time delays
- Signatures of photon localization
- Statistics of Complex Wigner Time Delays as a counter of S-matrix poles: Theory and Experiment
- Symmetry breaking between statistically equivalent, independent channels in a few-channel chaotic scattering
- Scattering at the Anderson transition: Power--law banded random matrix model
- Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
- Chaotic Scattering with Localized Losses: S-Matrix Zeros and Reflection Time Difference for Systems with Broken Time Reversal Invariance
- Scattering approach to Anderson localisation
- Joint moments of proper delay times
- Reflection Time Difference as a probe of S-matrix Zeroes in Chaotic Resonance Scattering
- Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities
- Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
- The statistics of Wigner delay time in Anderson disordered systems
- Scaling Theory of Heat Transport in Quasi-1D Disordered Harmonic Chains
- Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity
- Global Partial Density of States: Statistics and Localization Length in Quasi-one Dimensional disordered systems
- Scattering and transport statistics at criticality
- Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
- Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
- Semiclassical calculation of time delay statistics in chaotic quantum scattering
- Scaling properties of delay times in one-dimensional random media
- Time delay in 1D disordered media with high transmission
- Time delay matrix at the spectrum edge and the minimal chaotic cavities
- Statistics of resonances in one-dimensional disordered systems