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PreprintarXiv licencearXiv

The Ericson Transition in Time-Reversal Invariant Systems: Symplectically Invariant Hamiltonians

  • Simon Köhnes
  • Thomas Guhr
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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.

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Cite

BibTeXRIS
BibTeX
@misc{kohnes2026ericson,
  title = {{The Ericson Transition in Time-Reversal Invariant Systems: Symplectically Invariant Hamiltonians}},
  author = {Simon Köhnes and Thomas Guhr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00624},
  eprint = {2610.00624},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00624},
}
RIS
TY  - UNPB
TI  - The Ericson Transition in Time-Reversal Invariant Systems: Symplectically Invariant Hamiltonians
AU  - Simon Köhnes
AU  - Thomas Guhr
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00624
UR  - https://arxiv.org/abs/2610.00624
AB  - 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.
ER  -