Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid
arXiv:1408.5913 · doi:10.1103/PhysRevA.90.053617
Abstract
We present a systematic derivation of the effective action for interacting vortices in a non-relativistic two-dimensional superfluid described by the Gross-Pitaevskii equation by integrating out longitudinal fluctuations of the order parameter. There are no logarithmically divergent coefficients in the equations of motion. Our analysis is valid in a dilute limit of vortices where the intervortex spacing is large compared to the core size, and where number fluctuations of atoms in vortex cores are suppressed. We analyze sound-induced corrections to the dynamics of a vortex-antivortex pair and show that there is no instability to annihilation, suggesting that sound-mediated interactions are not strong enough to ruin an inverse energy cascade in two-dimensional zero-temperature superfluid turbulence.
20 pages
References in corpus (24)
- Vortices in a trapped dilute Bose-Einstein condensate
- General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
- Null energy condition and superluminal propagation
- Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
- The Magnus force in superfluids and superconductors
- Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid
- Kelvin Wave Cascade and Decay of Superfluid Turbulence
- 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
- Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum Turbulence
- Direct Energy Cascade in Two-Dimensional Compressible Quantum Turbulence
- Controlled vortex-sound interactions in atomic Bose-Einstein condensates
- Decay of quantised vorticity by sound emission
- Vortex--Phonon Interaction
- Magnus and Iordanskii Forces in Superfluids
- Vortex mass in a superfluid at low frequencies
- Quantum Dynamics of a Bose Superfluid Vortex
- Effective action for vortex dynamics in clean d-wave superconductors
- Effective theory of vortices in two-dimensional spinless chiral -wave superfluids
- The incompressible fluid revisited: vortex-sound interactions
- Vortex annihilation and inverse cascades in two dimensional superfluid turbulence
- Strings and vortex rings
Cited by in corpus (21)
- Periodic shedding of vortex dipoles from a moving penetrable obstacle in a Bose-Einstein condensate
- Hydrodynamics of ideal fracton fluids
- Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
- Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps
- Coarsening and thermalisation properties of a quenched ferromagnetic spin-1 condensate
- Theory of the vortex-clustering transition in a confined two-dimensional quantum fluid
- Mass-driven vortex collisions in flat superfluids
- Turbulent relaxation to equilibrium in a two-dimensional quantum vortex gas
- Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
- Enstrophy Cascade in Decaying Two-Dimensional Quantum Turbulence
- Dynamics of polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
- A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
- Mutual friction and diffusion of two-dimensional quantum vortices
- Hall viscosity and conductivity of two-dimensional chiral superconductors
- Modelling of vorticity, sound and their interaction in two-dimensional superfluids
- Thermal Decay of Planar Jones-Roberts Solitons
- Observation of Jones-Roberts solitons in a paraxial quantum fluid of light
- Sound emission and annihilations in a programmable quantum vortex collider
- Perturbations of vortex ring pairs
- Non-equilibrium charge-vortex duality
- A quantum storm in a teacup