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Holographic Thermal Relaxation in Superfluid Turbulence · Around

2014

Holographic Thermal Relaxation in Superfluid Turbulence

Du, Yiqiang, Niu, Chao, Tian, Yu et al.

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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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Original
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For notational convenience we shall set the overall factor 16 π G q 2 = 1 16\pi Gq^{2}=1 later on
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In what follows, we shall work in the units where L = 1 L=1 and z h = 1 z_{h}=1
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The videos are available at the http URL as http://people.ucas.ac.cn/~ytian?language=en#171556
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We are grateful to Andreas Samberg for his private communication on this issue
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We are grateful to Paul Chesler for his private communication on this issue
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Then

W. J. Li, Y. Tian, and H. Zhang, JHEP 1307
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O. J. C. Dias, G. T. Horowitz, N. Iqbal, and J. E. Santos, JHEP 1404
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C. Ewerz, T. Gasenzer, M. Karl, and A. Samberg, JHEP 1505
2015
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