Josephson effects in one-dimensional supersolids

Abstract

We demonstrate that superflow past an obstacle is possible in a solid phase in the one-dimensional Gross-Pitaevskii equation with a finite-range two-body interaction. The phenomenon we find is analogous to the DC Josephson effect in superconductors and we deduce the "Josephson relation" between the current and phase difference of the condensates separated by the obstacle. We also discuss persistent current and nonclassical rotational inertia in annular container with a penetrable potential barrier. The phase diagram in the plane of the current and the interaction strength is given. Our result provides a simple theoretical example of supersolidity in the presence of an obstacle.

9 pages, 9 figures

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Cited by in corpus (7)

• Mean-field and stability analysis of two-dimensional flowing soft-core bosons modeling a supersolid
• Integrable model for density-modulated quantum condensates: solitons passing through a soliton lattice
• Compressibility and speeds of sound across the superfluid to supersolid phase transition of an elongated dipolar gas
• Sounds waves and fluctuations in one-dimensional supersolids
• Supersolid spectroscopy
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Bi-Josephson Effect in a Driven-Dissipative Supersolid