Correlation Widths in Quantum--Chaotic Scattering
arXiv:1011.0606 · doi:10.1016/j.physletb.2011.02.009
Abstract
An important parameter to characterize the scattering matrix S for quantum-chaotic scattering is the width Gamma_{corr} of the S-matrix autocorrelation function. We show that the "Weisskopf estimate" d/(2pi) sum_c T_c (where d is the mean resonance spacing, T_c with 0 <= T_c <= 1 the "transmission coefficient" in channel c and where the sum runs over all channels) provides a very good approximation to Gamma_{corr} even when the number of channels is small. That same conclusion applies also to the cross-section correlation function.
References in corpus (13)
- Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
- Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering
- Quantum limit of the laser linewidth in chaotic cavities and statistics of residues of scattering matrix poles
- Quantum Chaotic Scattering in Microwave Resonators
- Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities
- S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonances
- Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption
- Large Petermann factor in chaotic cavities with many scattering channels
- Correlation functions of scattering matrix elements in microwave cavities with strong absorption
- Open system of interacting fermions: Statistical properties of cross sections and fluctuations
- Chaotic Scattering in the Regime of Weakly Overlapping Resonances
- Cross-Section Fluctuations in Chaotic Scattering
- Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards
Cited by in corpus (8)
- Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
- Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results
- Anti-correlation for Conductance Fluctuations in Chaotic Quantum Dots
- Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
- Correlation functions and correlation widths in Quantum-Chaotic Scattering for mesoscopic systems and nuclei
- Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
- Chaotic behavior of the Compound Nucleus, open Quantum Dots and other nanostructures
- Universality Emerging in a Universality: Derivation of the Ericson Transition in Stochastic Quantum Scattering and Experimental Validation