Honeycomb supersolid -- Dirac points and shear-instability induced crystal transitions
arXiv:2410.15754 · doi:10.1103/PhysRevLett.134.013401
Abstract
The honeycomb supersolid state is predicted to form in a dipolar Bose-Einstein condensate with a planar confining potential. Our results for its excitation spectrum reveal the gapless bands and the emergence of Dirac points at the Brillouin zone edge, manifesting as points where the second sound and transverse sound bands touch. The honeycomb supersolid has three sound speeds that we connect to its elastic parameters through hydrodynamic theory. From this analysis we find conditions where a shear instability occurs as the honeycomb rigidity disappears. This gives insight into the nonequilibrium dynamics following an interaction quench, where the honeycomb pattern melts and different crystal orders emerge.
6 pages, 4 figures
References in corpus (53)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Experimental realisation of the topological Haldane model
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Topological Bands for Ultracold Atoms
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Observation of quantum droplets in a strongly dipolar Bose gas
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Dipolar physics: A review of experiments with magnetic quantum gases
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Quantum filaments in dipolar Bose-Einstein condensates
- Quantum Fluctuations in Dipolar Bose Gases
- Ground-state phase diagram of a dipolar condensate with quantum fluctuations
- Two-dimensional supersolidity in a dipolar quantum gas
- Bloch state tomography using Wilson lines
- Observation of Bose-Einstein Condensation of Dipolar Molecules
- Excitation spectrum of a supersolid
- Ultracold Fermions in a Graphene-Type Optical Lattice
- Bloch-Zener oscillations across a merging transition of Dirac points
- Supersolid behaviour of a dipolar Bose-Einstein condensate confined in a tube
- Supersolidity around a critical point in dipolar Bose Einstein condensates
- Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition
- Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium
- Two-Dimensional Supersolid Formation in Dipolar Condensates
- Collective excitations of self-bound droplets of a dipolar quantum fluid
- Phases of supersolids in confined dipolar Bose-Einstein condensates
- Topological phase transitions in the non-Abelian honeycomb lattice
- Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates
- Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
- Mean-field and stability analysis of two-dimensional flowing soft-core bosons modeling a supersolid
- Spontaneous breaking of continuous translational invariance
- Heating a dipolar quantum fluid into a solid
- Crystallisation of a dilute atomic dipolar condensate
- High-energy Bragg scattering measurements of a dipolar supersolid
- Bose-Einstein Condensate in a Honeycomb Optical Lattice: Fingerprint of Superfluidity at the Dirac Point
- Sub-unity superfluid fraction of a supersolid from self-induced Josephson effect
- Supersolidity and crystallization of a dipolar Bose gas in an infinite tube
- Two-dimensional supersolidity in a planar dipolar Bose gas
- Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates
- Numerical calculation of dipolar quantum droplet stationary states
- Sound, superfluidity and layer compressibility in a ring dipolar supersolid
- Superfluid properties of a honeycomb dipolar supersolid
- Hydrodynamic theory of supersolids: Variational principle and effective Lagrangian
- Compressibility and speeds of sound across the superfluid to supersolid phase transition of an elongated dipolar gas
- Excitations of a two-dimensional supersolid
- Metastable Patterns in one- and two-component dipolar Bose-Einstein Condensates
- A two-dimensional magneto-optical trap of dysprosium atoms as a compact source for efficient loading of a narrow-line three-dimensional magneto-optical trap
- Sounds waves and fluctuations in one-dimensional supersolids
- How to realise a homogeneous dipolar Bose gas in the roton regime
- Characterisation of three-body loss in Er and optimised production of large Bose-Einstein condensates