Bosonic superfluid on lowest Landau level
arXiv:1901.06088 · doi:10.1103/PhysRevLett.122.235301
Abstract
We develop a low-energy effective field theory of a two-dimensional bosonic superfluid on the lowest Landau level at zero temperature and identify a Berry term that governs the dynamics of coarse-grained superfluid degrees of freedom. For an infinite vortex crystal we compute how the Berry term affects the low-energy spectrum of soft collective Tkachenko oscillations and non-dissipative Hall responses of the particle number current and stress tensor. This term gives rise to a quadratic in momentum term in the Hall conductivity, but does not generate a non-dissipative Hall viscosity.
arXiv comment5 pages+4 pages supplemental material; published version
References in corpus (24)
- Rapidly Rotating Atomic Gases
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
- Viscosity of Quantum Hall Fluids
- Hall Viscosity and Electromagnetic Response
- Bose-Einstein Condensates with Large Number of Vortices
- Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems
- Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
- Spacetime Symmetries of the Quantum Hall Effect
- Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter
- Vortex patterns in a fast rotating Bose-Einstein condensate
- Tkachenko modes of vortex lattices in rapidly rotating Bose-Einstein condensates
- Quantum Hall physics in rotating Bose-Einstein condensates
- Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
- Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
- Effective theory of chiral two-dimensional superfluids
- Dissipationless Phonon Hall Viscosity
- Ground State and Tkachenko Modes of a Rapidly Rotating Bose-Einstein Condensate in the Lowest Landau Level State
- Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation
- Effective field theory of a vortex lattice in a bosonic superfluid
- Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure
- Tkachenko waves
- Vortex lattices in Bose-Einstein condensates: from the Thomas-Fermi to the lowest Landau level regime
- Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
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- Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
- Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
- Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
- Five-Dimensional Non-Lorentzian Conformal Field Theories and their Relation to Six-Dimensions
- Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
- Superfluids, vortices and spinning charged operators in 4d CFT
- Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
- Observable signatures of Hall viscosity in lowest Landau level superfluids
- Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
- On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
- Non-commutative effective field theory of the lowest Landau level superfluid
- Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement
- Effective field theory for the superfluid vortex lattice from coset construction
- Precise correspondence between the p-wave chiral superfluid and the spinless bosonic superfluid in the lowest Landau level