We predict that a photon condensate inside a dye-filled microcavity forms long-lived spatial structures that resemble vortices when incoherently excited by a focused pump orbiting around the cavity axis. The finely structured density of the condensates have a discrete rotational symmetry that is controlled by the orbital frequency of the pump spot and is phase coherent over its full spatial extent, despite the absence of any effective photon-photon interactions.

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• Emergence of patterns
• Open quantum systems & decoherence
• Optical coherence
• Bose-Einstein condensates
• Nonequilibrium systems
• Optical microcavities