Super- and subradiant emission of two-level systems in the near-Dicke limit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Brooke, Peter G ^a   Marzlin, Karl Peter ^b   Cresser, James D ^a   Sanders, Barry C ^a,b  

^a MACQUARIE UNIVERSITY   (Australia)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC MOMENTS; MATHEMATICAL MODELS; RESONANCE; WAVELENGTH;

MINIMAL-COUPLING INTERACTION; SUBRADIANT EMISSION;

ELECTROMAGNETIC WAVE EMISSION;

EID: 41549110208     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.033844     Document Type: Article

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32. In a large number of cases, a two-level model is insufficient to provide a consistent model for nonaligned dipoles. The reason for this is that the dipole moment d e| d |g is specified by selecting a particular set of two states with a dipole-allowed transition. For instance, in a transition between a J=0 ground state | 1s and a J=1 manifold of excited states | 2 px,y,z, the two-level system could be chosen to consist of the states |g = | 1s and |e = | 2 pz. Then the dipole moment would necessarily be oriented along the z axis. In this instance, in order to include other dipole orientations one would have to consider a four-state model.
33. Strictly speaking this argument only holds for static dipolar charge distributions, whereas polarized atoms correspond to rotating dipoles. We have implicitly made use of the fact that the near field of any oscillating charge distribution is equivalent to the static field times an oscillating factor. Of course, when two oscillating dipoles are moved towards the same location memory effects could appear that are not taken into account by our simple argument. However, we expect that it remains valid in the limit of infinite time, in particular if one considers energy eigenstates as we do in Sec. 4.