A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields
arXiv:nlin/0307038 · doi:10.1103/PhysRevA.68.062110
Abstract
Statistics of tunneling rates in the presence of chaotic classical dynamics is discussed on a realistic example: a hydrogen atom placed in parallel uniform static electric and magnetic fields, where tunneling is followed by ionization along the fields direction. Depending on the magnetic quantum number, one may observe either a standard Porter-Thomas distribution of tunneling rates or, for strong scarring by a periodic orbit parallel to the external fields, strong deviations from it. For the latter case, a simple model based on random matrix theory gives the correct distribution.
arXiv commentSubmitted to Phys. Rev. A
References in corpus (15)
- First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard
- Resonance-Assisted Tunneling
- Complex Periodic Orbits and Tunnelling in Chaotic Potentials
- Dynamical Tunneling in Mixed Systems
- The Level Splitting Distribution in Chaos-assisted Tunneling
- Wavefunction Intensity Statistics from Unstable Periodic Orbits
- Ionization via Chaos Assisted Tunneling
- A Matrix Element for Chaotic Tunnelling Rates and Scarring Intensities
- Homoclinic Structure Controls Chaotic Tunnelling
- Signatures of chaotic tunnelling
- The Statistics of Chaotic Tunnelling
- Scarring Effects on Tunneling in Chaotic Double-Well Potentials
- Scarring and the statistics of tunnelling
- Normal forms and complex periodic orbits in semiclassical expansions of Hamiltonian systems
- Semiclassical dynamical localization and the multiplicative semiclassical propagator