Tunneling mechanism due to chaos in a complex phase space - art. no. 025201

We have revealed that the barrier-tunneling process in nonintegrable system s is strongly linked to chaos in complex phase space by investigating a sim ple scattering map model. The semiclassical wave function reproduces compli cated features of tunneling perfectly and it enables us to solve all the re asons why those features appear in spite of absence of chaos on the real pl ane. Multigeneration. structure of manifolds, which is the manifestation of complex-domain homoclinic entanglement created by complexified classical d ynamics, allows a symbolic coding and it is used as a guiding principle to extract dominant complex trajectories from all the semiclassical candidates .