A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields

Details A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields A realistic example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields

2003-07-22

arxiv.org/abs/nlin/0307038v1

Nonlinear Sciences

Chaotic Dynamics

Submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.68.062110

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.

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