Abstract
Holographic duality provides a first-principles approach to investigate real time processes in quantum many-body systems, in particular at finite temperature and far-from-equilibrium. We use this approach to study the dynamical evolution of vortex number in a two-dimensional (2D) turbulent superfluid through numerically solving its gravity dual. We find that the temporal evolution of the vortex number can be well fit statistically by two-body decay due to the vortex pair annihilation featured relaxation process, thus confirm the previous suspicion based on the experimental data for turbulent superfluid in highly oblate Bose-Einstein condensates. Furthermore, the decay rate near the critical temperature is in good agreement with the recently developed effective theory of 2D superfluid turbulence.
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ArXiv ePrint: 1412.8417
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Du, Y., Niu, C., Tian, Y. et al. Holographic thermal relaxation in superfluid turbulence. J. High Energ. Phys. 2015, 1–12 (2015). https://doi.org/10.1007/JHEP12(2015)018
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DOI: https://doi.org/10.1007/JHEP12(2015)018