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We investigate spin squeezing of a two-mode boson system with a Josephsoncoupling. An exact relation between the squeezing and the single-particlecoherence at the maximal-squeezing time is discovered, which provides a moredirect way to measure the squeezing by readout the coherence in atomicinterference experiments. We prove explicitly that the strongest squeezing isalong the $J_z$ axis, indicating the appearance of atom number-squeezed state.Power laws of the strongest squeezing and the optimal coupling with particlenumber $N$ are obtained based upon a wide range of numerical simulations.

Relationship between spin squeezing and single-particle coherence in two-component Bose-Einstein condensates with Josephson coupling