Observable signatures of Hall viscosity in lowest Landau level superfluids

Abstract

Hall viscosity is a nondissipative viscosity occurring in systems with broken time-reversal symmetry, such as quantum Hall phases and $p+ip$ superfluids. Despite Hall viscosity's expected ubiquity and past observations in: classical soft matter, optical, and graphene systems, it has yet to be measured experimentally in any macroscopic quantum state of matter. Toward this end, we describe the observable effects of Hall viscosity in a simple family of rotating Bose-Einstein condensates of electrically neutral bosons, in which all of the bosons condense into a single lowest Landau level (LLL) orbital. Such phases are accessible to current cold atom experiments, and we dub them LLL superfluids. We demonstrate that LLL superfluids possess a nonuniversal Hall viscosity, leading to a range of observable consequences such as rotation of vortex-antivortex dipoles and wave-vector dependent corrections to the speed of sound. Furthermore, using a coherent state path integral approach, we present a microscopic derivation of the Landau-Ginzburg equations of a LLL superfluid, showing explicitly how Hall viscosity enters.

49 pages with appendices, 8 figures; updated upon journal acceptance

References in corpus (25)

• Hydrodynamics of electrons in graphene
• Odd Viscosity and Odd Elasticity
• Observation of von Kármán Vortex Street in an Atomic Superfluid Gas
• Density-curvature response and gravitational anomaly
• Statistical mechanics of a chiral active fluid
• Odd viscosity in active matter: microscopic origin and 3D effects
• Transport signatures of Hall viscosity
• Geometry of Fractional Quantum Hall Fluids
• Crystallization of Bosonic Quantum Hall States
• Theory of Nematic Fractional Quantum Hall State
• Universal Sound Diffusion in a Strongly Interacting Fermi Gas
• Geometric squeezing into the lowest Landau level
• Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
• Time reversal symmetry breaking and odd viscosity in active fluids: Green-Kubo and NEMD results
• Pattern formation by turbulent cascades
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity
• Particle-hole symmetry and electromagnetic response of a half-filled Landau level
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• Bosonic superfluid on lowest Landau level
• Edge current and orbital angular momentum of chiral superfluids revisited
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Hall viscosity in the A-phase of superfluid ${}^3$He
• Hele-Shaw flow for parity odd three-dimensional fluids
• Hall Viscosity of the Composite-Fermion Fermi Seas for Fermions and Bosons

Cited by in corpus (6)

• Odd viscosity suppresses intermittency in direct turbulent cascades
• Topological pairing of composite fermions via criticality
• Odd relaxation in three-dimensional Fermi liquids
• Non-commutative effective field theory of the lowest Landau level superfluid
• 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