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The system of ultracold atoms with hyperfine spin $F=3/2$ might be unstableagainst the formation of quintet pairs if the interaction is attractive in thequintet channel. We have investigated the behavior of correlation functions ina model including only s-wave interactions at quarter filling by large-scaledensity-matrix renormalization-group simulations. We show that the correlationsof quintet pairs become quasi-long-ranged, when the system is partiallypolarized, leading to the emergence of various mixed superfluid phases in whichBCS-like pairs carrying different magnetic moment coexist.

Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom