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In this article we use time-dependent Josephson coupling to enhanceunconventional photon blockade in a system of two coupled nonlinear bosonicmodes which are initially loaded with weakly populated coherent states, so theevolution is restricted to the manifold of up to two field quanta. Usingnumerical optimal control, we find the optimal coupling which minimizes thetwo-photon occupation of one mode, which is actually transferred to the other,while maintains a non-zero one-photon occupation in the same mode. Moreover, wechoose the continuous coupling to vanish after the transfer between the modessuch that they are decoupled and one of them is left only with some one-photonpopulation which can be observed upon its decay. We numerically find lowervalues of the second-order correlation function obtained at earlier times thanwith constant coupling, with larger one-photon populations and for longer timewindows, corresponding thus to higher emission efficiency and easier detection.The presented methodology is not restricted to the system under study, but itcan also be transferred to other related frameworks, to find the optimaldriving fields which can improve the single-photon emission statistics fromthese systems.

Dynamical blockade in a bosonic Josephson junction using optimal coupling