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We present a novel approach for the optical manipulation of neutral atoms inannular light structures produced by the phenomenon of conical refractionoccurring in biaxial optical crystals. For a beam focused to a plane behind thecrystal, the focal plane exhibits two concentric bright rings enclosing a ringof null intensity called the Poggendorff ring. We demonstrate boththeoretically and experimentally that the Poggendorff dark ring of conicalrefraction is confined in three dimensions by regions of higher intensity. Wederive the positions of the confining intensity maxima and minima and discussthe application of the Poggendorff ring for trapping ultra-cold atoms using therepulsive dipole force of blue-detuned light. We give analytical expressionsfor the trapping frequencies and potential depths along both the radial and theaxial directions. Finally, we present realistic numerical simulations of thedynamics of a $^{87}$Rb Bose-Einstein condensate trapped inside the Poggendorffring which are in good agreement with corresponding experimental results.

Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction