Abstract
We propose a theoretical model of a system of two quantum states, coupled by tunneling of correlated pairs of Bose particles. Cavity polaritons in a rectangular potential trap are considered as a model system, and two-particle tunneling is provided by the particle–particle scattering. We calculate the dynamics beyond the mean-field approach, fully accounting for all quantum correlations and their temporal evolution in a simplified model, considering only the lowest-energy state of the potential trap. Different operation regimes are identified and compared with results of the bosonic Josephson junction model with single-particle tunneling. Finally, we show how one may experimentally resolve whether one or two synchronized particles tunnel across the barrier.
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