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We demonstrate neuron-like spiking dynamics in the asymmetrically drivendissipative photonic Bose-Hubbard dimmer model which describes two couplednonlinear passive Kerr cavities. Spiking dynamics appear due to the excitablenature of the system. In this context, excitable excursions in the phase spacecorrespond to spikes in the temporal evolution of the field variables. In ourcase, excitability is mediated by the destruction of an oscillatory state in aglobal homoclinic bifurcation. In this type of excitability (known as type-I)the period of the oscillatory state diverges when approaching the bifurcation.Beyond this point, the system exhibits excitable dynamics under the applicationof suitable perturbations. We have also characterized the effect that additiveGaussian noise has on the spiking dynamics, showing that the system undergoes acoherence resonance for a given value of the noise strength.

Neuron-like spiking dynamics in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer