G. B. Akguc | Searcharxiv

arXiv2003

Direct Scattering Processes and Signatures of Chaos in Quantum Waveguides

The effect of direct processes on the statistical properties of deterministic scattering processes in a chaotic waveguide is examined. The single channel Poisson kernel describes well the distribution of S-matrix eigenphases when evaluated over an energy interval. When direct processes are transformed away, the scattering processes exhibit universal random matrix behavior. The effect of chaos on scattering wavefunctions,eigenphases, and time delays is discussed.

nlin.CD↗

arXiv2000

The Effect of Evanescent Modes and Chaos on Deterministic Scattering in Electron Waveguides

Statistical properties of Wigner delay times and the effect of evanescent modes on the deterministic scattering of an electron matter wave from a classically chaotic 2-d electron waveguide are studied for the case of 2, 6, and 16 propagating modes. Deterministic reaction matrix theory for this system is generalized to include the effect of evanescent modes on the scattering process. Inclusion of evanescent modes can change the positions of resonance poles in the complex energy plane and can delay electron scattering, particularly at energies where new channels open. The statistical properties of the Wigner delay times for the deterministic scattering process are compared to the predictions of random reaction matrix theory.

nlin.CD↗