Abstract.
We investigate the spatial motion of the trapped atom with the electromagnetically induced transparency (EIT) configuration where the two Rabi transitions are coupled to two classical light fields respectively with the same detuning. When the internal degrees of freedom can be decoupled adiabatically from the spatial motion of the center of mass via the Born-Oppenheimer approximation, it is demonstrated that the lights of certain profile can provide the atom with an effective field of magnetic monopole, which is the so-called induced gauge field relevant to the Berry's phase. Such an artificial magnetic monopole structure manifests itself in the characterizing energy spectrum.
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It is pointed out that \(\xi \left( r\pm z\right) \) is not an analytical function at the origin \({\bf r}=0\). In fact we can replace r in (8) with another function r′ =( x2+y2+z2+δ2) 1/2 where δ can be any real number. In this case the Rabi frequency \(\left| \Omega _{p}\right| \) (\(\left| \Omega _{c}\right| \)) is proportional to \(\left[ \xi \left( r^{\prime }\pm z\right) \right] ^{1/2}\) which is analytical in the whole spaces and then may be expanded with Laguerre-Gausse beams [18] in the region near z axes. The Born-Oppenheimer approximation is applicable in the region r≫δ where |Ωp| (\(\left| \Omega _{c}\right| \)) (and then the energy spacings) is large enough. In this region, we have r′≈r and the effective monopole potential (9) is applicable
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Zhang, P., Li, Y. & Sun, C. Induced magnetic monopole from trapped Λ-type atom. Eur. Phys. J. D 36, 229–233 (2005). https://doi.org/10.1140/epjd/e2005-00226-2
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DOI: https://doi.org/10.1140/epjd/e2005-00226-2