Thresholds to Chaos and Ionization for the Hydrogen Atom in Rotating Fields

Abstract

We analyze the classical phase space of the hydrogen atom in crossed magnetic and circularly polarized microwave fields in the high frequency regime, using the Chirikov resonance overlap criterion and the renormalization map. These methods are used to compute thresholds to large scale chaos and to ionization. The effect of the magnetic field is a strong stabilization of a set of invariant tori which bound the trajectories and prevent stochastic ionization. In order to ionize, larger amplitudes of the microwave field are necessary in the presence of a magnetic field.

References in corpus (3)

• Determination of the threshold of the break-up of invariant tori in a class of three frequency Hamiltonian systems
• Application of renormalization to the dynamics of a particle in a infinite square-well potential driven by an external field
• Stochastic ionization through noble tori: Renormalization results

Cited by in corpus (4)

• Time-frequency analysis of chaotic systems
• Renormalization and destruction of $1/{\gamma }^2$ tori in the standard nontwist map
• Capture into resonance in dynamics of a classical hydrogen atom in an oscillating electric field
• Phase space structures and ionization dynamics of hydrogen atom in elliptically polarized microwaves