Parametric Correlations of Scattering Phase Shifts and Fluctuations of Delay Times in Few-Channel Chaotic Scattering
By using a supersymmetric method we derive an explicit expression for the parametric correlation function of densities of eigenphases θa of the S matrix in a chaotic quantum system with broken time-reversal symmetry coupled to the continuum via M equivalent open channels; a = 1,...,M. We use it to find the distribution of derivatives of these eigenphases over the energy (``phase-shift times'') as well as over an arbitrary external parameter. We also find the parametric correlations of Wigner-Smith delay times.
Physical Review Letters
- Pub Date:
- June 1996
- Condensed Matter;
- Nonlinear Sciences - Chaotic Dynamics
- The text is essentially restructured and new expressions are added 4 pages, RevTEX