Non-equilibrium charge-vortex duality
arXiv:2503.09623 · doi:10.1103/ln96-7j68
Abstract
Traditionally applied within equilibrium states, the charge-vortex dualities are expanded to address the complex dynamics of superfluids and ideal fluids under non-static conditions. We have constructed explicit mappings of finite temperature fluid dynamics to gauge theories, enabling a dual description where vortices in both superfluids and ideal fluids are interpreted as charges within these theories. We found that vortices in the normal component naturally exhibit mobility restrictions, as manifested by the symmetries and conservation laws. Next, we formulated the Liénard-Wiechert problem for the ideal fluid at finite temperature and extracted the wave dynamics in the system along with the speed of sound corrections for both fluid components. Finally, we computed the correlation functions for the gauge potentials, particularly elucidating explicit cross-correlations between the normal and superfluid components.
5+5 pages
References in corpus (33)
- Keldysh Field Theory for Driven Open Quantum Systems
- Fracton-Elasticity Duality
- Dual gauge field theory of quantum liquid crystals in two dimensions
- Energy spectra of vortex distributions in two-dimensional quantum turbulence
- The quantum mechanics of perfect fluids
- Duality between Quantum Critical Points
- Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid
- Dual gauge field theory of quantum liquid crystals in three dimensions
- Crystal-to-Fracton Tensor Gauge Theory Dualities
- Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
- Fractons from vector gauge theory
- Symmetry enforced fractonicity and quantum crystal melting
- Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
- The coset construction for non-equilibrium systems
- Quantum smectic gauge theory
- On duality between Cosserat elasticity and fractons
- Quantum Field Theory of Fluids
- Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid
- Hydrodynamics as the effective field theory of strong-to-weak spontaneous symmetry breaking
- Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
- Effective field theories for gapless phases with fractons via a coset construction
- Anomalous energetics and dynamics of moving vortices
- Dual gauge theory formulation of planar quasicrystal elasticity and fractons
- A Gauge Theory for Shallow Water
- The Schwinger-Keldysh Coset Construction
- Fracton-elasticity duality in twisted moiré superlattices
- Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
- Fracton-elasticity duality on curved manifolds
- Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
- Crystal gravity
- The Quantum Perfect Fluid in 2D
- On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
- Electrodynamics of Vortices in Quasi-2D Scalar Bose-Einstein Condensates