Semiclassical Study on Tunneling Processes via Complex-Domain Chaos

Abstract

We investigate the semiclassical mechanism of tunneling process in non-integrable systems. The significant role of complex-phase-space chaos in the description of the tunneling process is elucidated by studying a simple scattering map model. Behaviors of tunneling orbits are encoded into symbolic sequences based on the structure of complex homoclinic tanglement. By means of the symbolic coding, the phase space itineraries of tunneling orbits are related with the amounts of imaginary parts of actions gained by the orbits, so that the systematic search of significant tunneling orbits becomes possible.

26 pages, 28 figures, submitted to Physical Review E

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Cited by in corpus (9)

• Soliton-antisoliton pair production in particle collisions
• Complex trajectories in chaotic dynamical tunneling
• Signatures of unstable semiclassical trajectories in tunneling
• Quantum dynamics and decoherence in coherently driven one-dimensional double-well system
• Resonance spectra for quantum maps of kicked scattering systems by complex scaling
• Quantum Enhancement of Thermalization
• Recovery of chaotic tunneling due to destruction of dynamical localization by external noise
• Long quantum transition times due to unstable semiclassical dynamics
• The general 1D Schrödinger equation as an exactly solvable problem