Off-axis retrieval of orbital angular momentum of light stored in cold atoms
R. A. de Oliveira, L. Pruvost, P. S. Barbosa, W. S. Martins, S., Barreiro, D. Felinto, D. Bloch, and J. W. R. Tabosa

TL;DR
This paper demonstrates the storage and off-axis retrieval of orbital angular momentum of light in cold atoms, showing fidelity at small angles and magnetic control of the retrieved OAM.
Contribution
It introduces a method for off-axis retrieval of OAM in cold atoms and explores magnetic manipulation of the stored OAM, advancing quantum information storage techniques.
Findings
Successful off-axis retrieval of OAM at small angles
Fidelity decreases at larger retrieval angles
Magnetic fields induce Larmor oscillations in the retrieved OAM
Abstract
We report on the storage of orbital angu- lar momentum (OAM) of light of a Laguerre-Gaussian mode in an ensemble of cold cesium atoms and its re- trieval along an axis different from the incident light beam. We employed a time-delayed four-wave mixing configuration to demonstrate that at small angle (2o), after storage, the retrieved beam carries the same OAM as the one encoded in the input beam. A calculation based on mode decomposition of the retrieved beam over the Laguerre-Gaussian basis is in agreement with the experimental observations done at small angle values. However, the calculation shows that the OAM retrieving would get lost at larger angles, reducing the fidelity of such storing-retrieving process. In addition, we have also observed that by applying an external magnetic field to the atomic ensemble the retrieved OAM presents Larmor oscillations, demonstrating the…
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