Theory of Superfluidity in inhomogeneous Bose systems

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Superfluidity, which implies macroscopic flow without dissipation, is realized in quantum liquids with Bose-Einstein condensates. Supersolids, on the other hand, are quantum solids with superfluid property. While earlier studies have concluded that supersolidity is impossible in the presence of an obstacle, we have given a counter-example in the present research project. We have demonstrated that quantum solids can maintain supersolidity in the presence of obstacles through the Josephson effect.