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Phys. Rev. A 76, 023424 (2007) [6 pages]

Atomic hyperfine resonances in a magnetic quadrupole field

Abstract
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Shahpoor Saeidian*
Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany

Igor Lesanovsky
Institut Quantenoptik und Quanteninformation, Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 21 a, A-6020 Innsbruck, Austria

Peter Schmelcher
Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany and Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg, INF 229, 69120 Heidelberg, Germany

Received 12 January 2007; revised 2 July 2007; published 28 August 2007

The quantum resonances of an atom possessing a single valence electron which shows hyperfine interaction with the nucleus is investigated in the presence of a three-dimensional magnetic quadrupole field. Particular emphasis is put on the study of the interplay of the hyperfine and quadrupole forces. By analyzing the underlying Hamiltonian, a variety of symmetries are revealed, which give rise to a twofold degeneracy of the resonance energies. Our numerical approach employs the complex scaling method and a Sturmian basis set. Several regimes and classes of short- and long-lived resonances are identified. The energies and decay widths of the resonances are characterized by their electronic and nuclear spin properties.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.023424
DOI:
10.1103/PhysRevA.76.023424
PACS:
32.60.+i, 33.55.Be, 32.10.Dk, 33.80.Ps

*s̱saeid@physi.uni-heidelberg.de

Igor.Lesanovsky@uibk.ac.at

Peter.Schmelcher@pci.uni-heidelberg.de