Complex-path prediction of resonance-assisted tunneling in mixed systems.

Perturbation-free prediction of resonance-assisted tunneling in mixed regular-chaotic systems.

For generic Hamiltonian systems we derive predictions for dynamical tunneling from regular to chaotic phase-space regions. In contrast to previous approaches, we account for the resonance-assisted enhancement of regular-to-chaotic tunneling in a nonperturbative way. This provides the foundation for future semiclassical complex-path evaluations of resonance-assisted regular-to-chaotic tunneling....

Resonance-assisted tunneling in mixed regular-chaotic systems

On dynamical tunneling and classical resonances.

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes dynamical tunneling and explicit forms of the dynamical barriers can be obtained only by identifying the key resonances. Relationship between the phase space viewpoi...

Dynamical tunneling in systems with a mixed phase space

Typical dynamical systems have a mixed phase space, in which regions of chaotic motion coexist with regions of regular motion. While classically they are dynamically separated, quantum mechanically, these regions are connected by the fundamental process of tunneling. In this talk we review how to predict dynamical tunneling rates in systems with a mixed phase space by the fictitious integrable ...

Semiclassical description of resonance-assisted tunneling in one-dimensional integrable models.

Resonance-assisted tunneling is investigated within the framework of one-dimensional integrable systems. We present a systematic recipe, based on Hamiltonian normal forms, to construct one-dimensional integrable models that exhibit resonance island chain structures with accurately controlled sizes and positions of the islands. Using complex classical trajectories that evolve along suitably defi...