Superfluid turbulence is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic approach to studying such quantum turbulence by mapping the dynamics of a strongly interacting quantum liquid into the dynamics of classical gravity. We use this gravitational description to numerically construct turbulent flows in a holographic superfluid in two spatial dimensions. We find that the superfluid kinetic energy spectrum obeys the Kolmogorov -5/3 scaling law, with energy injected at long wavelengths undergoing a direct cascade to short wavelengths where dissipation by vortex annihilation and vortex drag becomes efficient. This dissipation has a simple gravitational interpretation as energy flux across a black hole event horizon.
机构:
Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Univ Louvain, Inst Theoret Fys, B-3001 Louvain, BelgiumHarvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Denef, Frederik
;
Hartnoll, Sean A.
论文数: 0引用数: 0
h-index: 0
机构:
Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USAHarvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Hartnoll, Sean A.
.
PHYSICAL REVIEW D,
2009,79(12)
[4]
Feynman R. P., 1955, Progress in Low Temperature Physics, DOI [10.1016/S0079-6417(08)60077-3, DOI 10.1016/S0079-6417(08)60077-3]
机构:
Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Univ Louvain, Inst Theoret Fys, B-3001 Louvain, BelgiumHarvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Denef, Frederik
;
Hartnoll, Sean A.
论文数: 0引用数: 0
h-index: 0
机构:
Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USAHarvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
Hartnoll, Sean A.
.
PHYSICAL REVIEW D,
2009,79(12)
[4]
Feynman R. P., 1955, Progress in Low Temperature Physics, DOI [10.1016/S0079-6417(08)60077-3, DOI 10.1016/S0079-6417(08)60077-3]