Single quantum dots (QDs) are frequently used as single-photon sources, taking advantage of the final exciton decay in a cascade that produces energetically detuned photons. We propose and analyze a new concept of single-photon source, namely, a few-QD microcavity system driven close to, but below the lasing threshold under strong excitation. Surprisingly, even for two or three QDs inside a cavity, antibunching is observed. To quantify the results, we find that a classification of single-photon emission in terms of antibunching in the autocorrelation function g (2) (0) is insufficient and more details of the photon statistics are required. Our investigations are based on a quantum-optical theory that we solve to obtain the density operator for the quantum-mechanical active medium and radiation field.Introduction. Single-photon sources are key components in quantum-information technologies. They enable the realization of fundamental quantum-mechanical concepts in current applications [1], such as quantum key distribution, quantum teleportation, and Bell measurements. To generate single photons, in many practical applications sources based on parametric down conversion are used [2][3][4]. Alternatively, a single emitter can be driven with a pump pulse to emit exactly one photon on demand per excitation cycle like a turnstile device [5]. Semiconductor quantum dots (QDs) possess distinct properties that make them suited for applications as single-photon sources, such as the possibility of electrical pumping [6]. Resonant excitation schemes have been used to get closer to the ideal case of an isolated "atomlike" single-photon emitter [7]. When using a single QD, a preceding photon from the biexciton recombination can be used to herald the single photon from the exciton recombination, which is always second in the cascade. The extremely high single-photon purity (close to the ideal single-photon Fock state) obtained from these sources comes at the cost of low repetition rates that are limited by the free-space radiative lifetime of hundreds of picoseconds [1,8].QD microcavity laser devices have been demonstrated to exhibit nonclassical features in the light emission around threshold [9,10]. In the following, we explore this quantum regime for single-photon operation from a single-to fewemitter QD medium. The presence of a cavity enhances the emission rate via the Purcell effect [11], and operation in the gigahertz regime has been demonstrated for a single QD in a micropillar resonator [12]. The prospect of achieving single-photon emission with several QD emitters coupling to the cavity reduces the requirement on device fabrication to rely on samples with only a single QD.For single-QD microcavity devices, we identify an optimal balance between cavity-loss rate and light-matter coupling strength that maximizes the emission rate and the degree of antibunching seen in g (2) (0). Next, we explore devices with up to three QDs and quantify their performance in terms of achievable repetition rates, purity of single-photon emi...