Q. Long et al., Dark region observed in fluorescence under the condition of a quadrupole magnetic field - art. no. 023406, PHYS REV A, 6202(2), 2000, pp. 3406
We report an experimental observation of a dark region, around the zero-fie
ld point of a spheric quadrupole magnetostatic field, in spatial fluorescen
ce emitted by dilute vapor atoms, which were excited by a circularly polari
zed traveling-wave laser tuned to a F-->F+1 transition of Rb-87. By ruling
out some possible sources, we show that the fluorescence decrease is associ
ated with the three-dimensional nature of the magnetic field; it is a conse
quence of a precession of magnetic dipole moments induced by the radial mag
netic field, which significantly cancels the orientation caused by optical
pumping near the point of level crossing in the presence of the axial magne
tic held. In an alternative way, the phenomenon can be understood as result
ing from a destructive quantum interference, which is related to a coherent
double-quantum coupling of atomic levels with two fields; one is the laser
field, the other is the magnetic field. Analytic expressions for the half-
width and contrast of the dark region have been obtained with a simplified
model in the limit of low laser power. A qualitative agreement between the
theory and experiment is found. The relevance of our study to laser cooling
and trapping in a widely used magneto-optical trap based on such a quadrup
ole magnetic field is discussed. Finally, some applications of the phenomen
on are also presented.