English

Complex paths for regular-to-chaotic tunneling rates

Chaotic Dynamics 2015-06-05 v1 Quantum Physics

Abstract

In generic Hamiltonian systems tori of regular motion are dynamically separated from regions of chaotic motion in phase space. Quantum mechanically these phase-space regions are coupled by dynamical tunneling. We introduce a semiclassical approach based on complex paths for the prediction of dynamical tunneling rates from regular tori to the chaotic region. This approach is demonstrated for the standard map giving excellent agreement with numerically determined tunneling rates.

Keywords

Cite

@article{arxiv.1207.0985,
  title  = {Complex paths for regular-to-chaotic tunneling rates},
  author = {Normann Mertig and Steffen Löck and Arnd Bäcker and Roland Ketzmerick and Akira Shudo},
  journal= {arXiv preprint arXiv:1207.0985},
  year   = {2015}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T21:30:25.432Z