Universal Chaotic Scattering on Quantum Graphs
arXiv:1210.0720 · doi:10.1103/PhysRevLett.110.034101
Abstract
We calculate the S-matrix correlation function for chaotic scattering on quantum graphs and show that it agrees with that of random--matrix theory (RMT). We also calculate all higher S-matrix correlation functions in the Ericson regime. These, too, agree with RMT results as far as the latter are known. We concjecture that our results give a universal description of chaotic scattering.
4 pages
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Cited by in corpus (23)
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- Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results
- Missing-level statistics in classically chaotic quantum systems with symplectic symmetry
- Sigma models for quantum chaotic dynamics
- Distributions of the Wigner reaction matrix for microwave networks with symplectic symmetry in the presence of absorption
- Scattering and transport properties of tight-binding random networks
- Cross-section Fluctuations in Open Microwave Billiards and Quantum Graphs: The Counting-of-Maxima Method Revisited
- A spectral duality in graphs and microwave networks
- Cross-Section Fluctuations in Chaotic Scattering Systems
- Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
- Universal S-matrix correlations for complex scattering of many-body wavepackets: theory, simulation and experiment
- Closed and open superconducting microwave waveguide networks as a model for quantum graphs
- Transmission through a noisy network
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- Open Problems in Applying Random-Matrix Theory to Nuclear Reactions
- Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry