Quantum crystals in a trapped Rydberg-dressed Bose-Einstein condensate

Abstract

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess crystalline and superfluid properties. A hexagonal droplet lattice is observed in a quasi-two-dimensional system when dressing interaction is sufficiently strong. Onset of these states is characterized by a drastic drop of the non-classical rotational inertia proposed by Leggett [Phys. Rev. Lett. 25, 1543 (1970)]. In addition, an AB stacking bilayer lattice can also be attained. Due to an anisotropic interaction possibly induced by an external electric field, transition from a hexagonal to a nearly square droplet lattice is also observed.

4 pages, 4 figures

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• Two-dimensional supersolidity in a planar dipolar Bose gas
• Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
• Self-bound droplet clusters in laser-driven Bose-Einstein condensates
• Compressibility and speeds of sound across the superfluid to supersolid phase transition of an elongated dipolar gas
• Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas
• Structural Phase Transitions of Optical Patterns in Atomic Gases with Microwave Controlled Rydberg Interactions
• Ab initio calculation of Hubbard parameters for Rydberg-dressed atoms in an one-dimensional optical lattice
• Superglass formation in an atomic BEC with competing long-range interactions
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Chiral supersolid and dissipative time crystal in Rydberg-dressed Bose-Einstein condensates with Raman-induced spin-orbit coupling
• Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling