Abstract
Experimental results on the phase transfer from structured beams to parametric light, generated by inducing four-wave mixing in an atomic gas, are reported. Near-infrared, Mathieu, and Gaussian pump beams yield a blue coherent Mathieu electromagnetic field and an infrared beam. Two complementary techniques enable full characterization of the up-converted modes. The unambiguous and efficient phase heritage of these complex quasipropagation invariant modes to up-converted photons is demonstrated. The presented data enable a quantitative study of dynamical variables related to Mathieu beams. These include elliptic angular momentum, a generalization of the orbital angular momentum of light, which is also up-converted through the nonlinear process.
Highlights
Four-wave mixing (FWM) in atomic gases is one of the most promising nonlinear processes for generating light with tailored classical and quantum properties
Conversion of Laguerre-Gauss beams via FWM has shown that orbital angular momentum (OAM) can be a valuable dynamical variable for the implementation of quantum engineering protocols using atomic gases [7,8,9]; the topological charge m of an optical vortex is transferable within the |m| 30 range [9] and the experiments evidence that the two spontaneously emitted photons in a FWM process may be entangled in this variable [10]
In this article we report on the heritage of even and odd Mathieu modes from pump to up-converted light through a FWM process in an atomic gas
Summary
Four-wave mixing (FWM) in atomic gases is one of the most promising nonlinear processes for generating light with tailored classical and quantum properties. Conversion of Laguerre-Gauss beams via FWM has shown that OAM can be a valuable dynamical variable for the implementation of quantum engineering protocols using atomic gases [7,8,9]; the topological charge m of an optical vortex is transferable within the |m| 30 range [9] and the experiments evidence that the two spontaneously emitted photons in a FWM process may be entangled in this variable [10]. Our results show the transfer of the EAM-associated dynamical variable from the pump beams to the up-converted electromagnetic fields
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