Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions

Abstract

We develop a coarse-grained description of the point-vortex model, finding that a large number of planar vortices and antivortices behave as an inviscid non-Eulerian fluid at large scales. The emergent binary vortex fluid is subject to anomalous stresses absent from Euler's equation, caused by the singular nature of quantum vortices. The binary vortex fluid is compressible, and has an asymmetric Cauchy stress tensor allowing orbital angular momentum exchange with the vorticity and vortex density. An analytic solution for vortex shear flow driven by anomalous stresses is in excellent agreement with numerical simulations of the point-vortex model.

4+5 pages, 3 figures; v2: New title, added analytical and numerical results for vortex shear flow, acknowledgments updated

References in corpus (15)

• Emergence of turbulence in an oscillating Bose-Einstein condensate
• Introduction to quantum turbulence
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Emergence of a Turbulent Cascade in a Quantum Gas
• Relaxation of superfluid turbulence in highly oblate Bose-Einstein condensates
• Inverse Energy Cascade in Forced 2D Quantum Turbulence
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• Emergence of order from turbulence in an isolated planar superfluid
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Numerical Studies of Quantum Turbulence
• Classical and quantum regimes of two-dimensional turbulence in trapped Bose-Einstein condensates
• Large atom number Bose-Einstein condensate of sodium
• Spectral energy transport in two-dimensional quantum vortex dynamics
• Generation and Decay of Two-Dimensional Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid

Cited by in corpus (21)

• Odd Viscosity and Odd Elasticity
• Hydrodynamics of ideal fracton fluids
• Coherent vortex dynamics in a strongly-interacting superfluid on a silicon chip
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Charmed baryon decays in $SU(3{)}_F$ symmetry
• Effective field theory of a vortex lattice in a bosonic superfluid
• Einstein-Bose condensation of Onsager vortices
• 2D Quantum Turbulence in Polariton Condensates
• Hydrodynamics of two-dimensional compressible fluid with broken parity: variational principle and free surface dynamics in the absence of dissipation
• Universal expansion of vortex clusters in a dissipative two-dimensional superfluid
• Diagrammatic analysis of hidden- and open-charm tetraquark production in $B$ decays
• Non-linear shallow water dynamics with odd viscosity
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Hydrodynamics of Quantum Vortices on a Closed Surface
• Chiral Edge Modes in Helmholtz-Onsager Vortex Systems
• Neutral vortex necklace in a trapped planar superfluid
• Double-mixing CP violation in $B$ decays
• CP violation analysis of $D^0\to M^{0}K\to M^0({\pi }^{\pm }{\ell }^{\mp }\nu )$
• Emergence of vorticity and viscous stress in finite-scale quantum hydrodynamics
• Non-equilibrium charge-vortex duality
• Distributed vorticity model for vortex molecule dynamics