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

G. R. Jin; C. K. Law

doi:10.1103/PhysRevA.78.063620

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

G. R. Jin, C. K. Law

DOI 10.1103/PhysRevA.78.063620 · Physical Review A

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Abstract

We investigate spin squeezing of a two-mode boson system with a Josephson coupling. An exact relation between the squeezing and the single-particle coherence at the maximal-squeezing time is discovered, which provides a more direct way to measure the squeezing by readout of the coherence in atomic interference experiments. We prove explicitly that the strongest squeezing is along the Jz axis, indicating the appearance of an atom number-squeezed state. Power laws of the strongest squeezing and the optimal coupling with particle number N are obtained based upon a wide range of numerical simulations.