Exceptional points in the spectra of atoms in external fields

Details Exceptional points in the spectra of atoms in external fields Exceptional points in the spectra of atoms in external fields

2009-02-27

arxiv.org/abs/0902.4777v1

Phys. Rev. A 79, 053408 (2009)

Nonlinear Sciences

Chaotic Dynamics

12 pages, 9 figures, 1 table

Scientific paper

10.1103/PhysRevA.79.053408

We investigate exceptional points, which are branch point singularities of two resonance eigenstates, in spectra of the hydrogen atom in crossed external electric and magnetic fields. A procedure to systematically search for exceptional points is presented, and their existence is proven. The properties of the branch point singularities are discussed with effective low-dimensional matrix models, their relation with avoided level crossings is analyzed, and their influence on dipole matrix elements and the photoionization cross section is investigated. Furthermore, the rare case of a connection between three resonances almost forming a triple-degeneracy in the form of a cubic root branch point is discussed.

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