Dynamics of a Vortex Dipole in a Holographic Superfluid
arXiv:2012.08716 · doi:10.1007/JHEP11(2021)199
Abstract
We use holography to investigate the dynamics of a vortex-anti-vortex dipole in a strongly coupled superfluid in 2+1 dimensions. The system is evaluated in numerical real-time simulations in order to study the evolution of the vortices as they approach and eventually annihilate each other. A tracking algorithm with sub-plaquette resolution is introduced which permits a high-precision determination of the vortex trajectories. With the increased precision of the trajectories it becomes possible to directly compute the vortex velocities and accelerations. We find that in the holographic superfluid the vortices follow universal trajectories independent of their initial separation, indicating that a vortex-anti-vortex pair is fully characterized by its separation. Subtle non-universal effects in the vortex motion at early times of the evolution can be fully attributed to artifacts due to the numerical initialization of the vortices. We also study the dependence of the dynamics on the temperature of the superfluid.
46 pages
References in corpus (20)
- Building an AdS/CFT superconductor
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Quantised Vortices in an Exciton-Polariton Fluid
- Lectures on Holographic Superfluidity and Superconductivity
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Experimental observation of oscillating and interacting matter wave dark solitons
- Holographic model of superfluidity
- Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
- An Analytic Holographic Superconductor
- Hydrodynamics of Holographic Superconductors
- Nonthermal fixed points and the functional renormalization group
- Defect formation beyond Kibble-Zurek mechanism and holography
- Strong versus weak wave-turbulence in relativistic field theory
- Inhomogeneous Structures in Holographic Superfluids: II. Vortices
- Vortex motion quantifies strong dissipation in a holographic superfluid
- Non-Thermal Fixed Point in a Holographic Superfluid
- Fourth sound of holographic superfluids
- Geometry and scaling of tangled vortex lines in three-dimensional random wave fields
- Statical Structures of the BCS-like Holographic Superfluid in AdS4 Spacetime
- Annihilation Process of Quantum Vortices in Dissipative Gross-Pitaevskii Equation Model
Cited by in corpus (5)
- Motion of a superfluid vortex according to holographic quantum dissipation
- Splitting of doubly quantized vortices in holographic superfluid of finite temperature
- Holographic Abrikosov lattice: vortex matter from black hole
- Topological Defects Formation with Momentum Dissipation
- Landau Instability and soliton formation