Anomalous dispersion of shear waves in dipolar supersolids

Abstract

Dipolar supersolids--quantum states that are simultaneously superfluid and solid--have had their superfluid nature rigorously tested, while their solid nature remain uncharted. Arguably, the defining characteristic of a solid is the existence of elastic shear waves. In this work we investigate transverse wave packet propagation in dipolar supersolids with triangular and honeycomb structure. Remarkably, the honeycomb supersolid displays anomalous dispersion, supporting waves traveling faster than the transverse speed of sound. While the distinction between anomalous and normal dispersion appears subtle, it has a profound influence on both the transport and scattering properties. For both supersolid phases, we calculate the shear modulus, a key parameter that quantifies the material's rigidity. Our findings are pertinent to current experimental efforts scrutinizing the fundamental properties of supersolids.

Main text: 8 pages, 3 figures; supplemental material: 4 pages, 4 figures. v4: published version

References in corpus (40)

• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Dipolar physics: A review of experiments with magnetic quantum gases
• Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
• Two-dimensional supersolidity in a dipolar quantum gas
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Observation of Bose-Einstein Condensation of Dipolar Molecules
• Mean-field expansion in Bose-Einstein condensates with finite-range interactions
• Supersolidity around a critical point in dipolar Bose Einstein condensates
• Two-Dimensional Supersolid Formation in Dipolar Condensates
• Effective Lagrangian and Topological Interactions in Supersolids
• Pattern Formation in Quantum Ferrofluids: from Supersolids to Superglasses
• Phases of supersolids in confined dipolar Bose-Einstein condensates
• An optical lattice with sound
• Roton Excitations in an Oblate Dipolar Quantum Gas
• Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates
• Persistent Currents in Toroidal Dipolar Supersolids
• Supersolidity in ultra-cold dipolar gases
• Observation of vortices in a dipolar supersolid
• High-energy Bragg scattering measurements of a dipolar supersolid
• Sub-unity superfluid fraction of a supersolid from self-induced Josephson effect
• Glitches in rotating supersolids
• Can angular oscillations probe superfluidity in dipolar supersolids?
• Supersolid edge and bulk phases of a dipolar quantum gas in a box
• Two-dimensional supersolidity in a planar dipolar Bose gas
• Superfluid properties of a honeycomb dipolar supersolid
• Excitations of a two-dimensional supersolid
• Metastable Patterns in one- and two-component dipolar Bose-Einstein Condensates
• Toroidal Dipolar Supersolid with a Rotating Weak Link
• Decoupled sound and amplitude modes in trapped dipolar supersolids
• Triangular pair density wave in confined superfluid ${}^3$He
• Characterisation of three-body loss in ${}^{166}$Er and optimised production of large Bose-Einstein condensates
• Frustration in a dipolar Bose-Einstein condensate introduced by an optical lattice
• Understanding the scaling of boson peak through insensitivity of elastic heterogeneity to bending rigidity in polymer glasses
• Comprehensive characterization of an apparatus for cold electromagnetic dysprosium dipoles
• Exploring pulsar glitches with dipolar supersolids
• Honeycomb supersolid -- Dirac points and shear-instability induced crystal transitions

Cited by in corpus (6)

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• From elastic to inelastic deformation of a dipolar supersolid
• Excitations and anisotropic sound in planar dipolar supersolids with tilted dipoles
• Vorticity-Crystalline Order Coupling in Supersolids: Excitations and Re-entrant Phases
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Dynamical signatures of superfluidity and shear rigidity in different phases of a dipolar Bose-Einstein condensate