  Photonic qubits play an instrumental role in the development of advanced
quantum technologies, including quantum networking, boson sampling and
measurement based quantum computing. A promising framework for the
deterministic production of indistinguishable single photons is an atomic
emitter coupled to a single mode of a high finesse optical cavity. Polarisation
control is an important cornerstone, particularly when the polarisation defines
the state of a quantum bit. Here, we propose a scheme for producing bursts of
polarised single photons by coupling a generalised atomic emitter to an optical
cavity, exploiting a particular choice of quantisation axis. In connection with
two re-preparation methods, simulations predict 10-photon bursts coincidence
count rates on the order of 1 kHz with single 87Rb atoms trapped in a state of
the art optical cavity. This paves the way for novel n-photon experiments with
atom-cavity sources.
