The Ericson Transition in Time-Reversal Invariant Systems: Symplectically Invariant Hamiltonians
Year: 2026
Type: preprint
Abstract: We investigate the distributions of off-diagonal scattering matrix elements and cross-sections in the Ericson regime for time-reversal invariant systems with odd spin. Within the universal Heidelberg approach we prove that Gaussian and exponential behavior is found as the leading-order term of an asymptotic expansion of the aforementioned distributions. Furthermore, the subleading-order term is derived and compared with numerical simulations.
Source: arXiv (Cornell University)
Authors: Köhnes, Simon, Guhr, Thomas
Institution: University of Duisburg-Essen
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W7216031125