Homoclinic Structure Controls Chaotic Tunnelling

Stephen C. Creagh 1, 2, Niall D. Whelan 2, 3

Physical Review Letters 82 (1999) 5237-5240

Tunnelling from a chaotic potential well is explained in terms of a set of complex periodic orbits which contain information about the real dynamics inside the well as well as the complex dynamics under the confining barrier. These orbits are associated with trajectories which are homoclinic to a real trajectory emerging from the optimal tunnelling path. The theory is verified by considering a model double-well problem.

  • 1. Service de Physique Théorique (SPhT),
    CNRS : URA2306 – CEA : DSM/SPHT
  • 2. Division de Physique Théorique, IPN,
    Université Paris XI - Paris Sud
  • 3. Department of Physics and Astronomy,
    McMaster University