Homoclinic Structure Controls Chaotic Tunnelling

Abstract

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.

Clarified discussion. To appear in PRL

References in corpus (2)

• Dynamical Tunneling in Mixed Systems
• A Matrix Element for Chaotic Tunnelling Rates and Scarring Intensities

Cited by in corpus (16)

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• Signatures of unstable semiclassical trajectories in tunneling
• A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields
• Quantum suppression of chaotic tunneling
• Gallavotti-Cohen theorem, Chaotic Hypothesis and the zero-noise limit
• Investigating quantum transport with an initial value representation of the semiclassical propagator
• Dynamical Tunneling in Many-Dimensional Chaotic Systems
• Recovery of chaotic tunneling due to destruction of dynamical localization by external noise
• Regularization of Tunneling Rates with Quantum Chaos
• Resonance- and Chaos-Assisted Tunneling
• Long quantum transition times due to unstable semiclassical dynamics
• Regular Tunnelling Sequences in Mixed Systems