Non-Thermal Fixed Point in a Holographic Superfluid
arXiv:1410.3472 · doi:10.1007/JHEP05(2015)070
Abstract
We study the far-from-equilibrium dynamics of a (2+1)-dimensional superfluid at finite temperature and chemical potential using its holographic description in terms of a gravitational system in 3+1 dimensions. Starting from various initial conditions corresponding to ensembles of vortex defects we numerically evolve the system to long times. At intermediate times the system exhibits Kolmogorov scaling the emergence of which depends on the choice of initial conditions. We further observe a universal late-time regime in which the occupation spectrum and different length scales of the superfluid exhibit scaling behaviour. We study these scaling laws in view of superfluid turbulence and interpret the universal late-time regime as a non-thermal fixed point of the dynamical evolution. In the holographic superfluid the non-thermal fixed point can be understood as a stationary point of the classical equations of motion of the dual gravitational description.
37 pages, 10 figures; v2: discussion and figures added, matches published version; movies and additional material at http://www.thphys.uni-heidelberg.de/holographic-superfluid
References in corpus (19)
- Building an AdS/CFT superconductor
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Quantised Vortices in an Exciton-Polariton Fluid
- Mayavi: a package for 3D visualization of scientific data
- 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
- Relaxation of superfluid turbulence in highly oblate Bose-Einstein condensates
- Nonthermal fixed points and the functional renormalization group
- Universality far from equilibrium: From superfluid Bose gases to heavy-ion collisions
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
- Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
- Strong versus weak wave-turbulence in relativistic field theory
- Inhomogeneous Structures in Holographic Superfluids: II. Vortices
- Turbulent thermalization process in high-energy heavy-ion collisions
- Quantized vortices in atomic Bose-Einstein condensates