Holographic Vortex Liquids and Superfluid Turbulence

被引:120
作者
Chesler, Paul M. [1 ]
Liu, Hong [1 ]
Adams, Allan [1 ]
机构
[1] MIT, Dept Phys, Cambridge, MA 02139 USA
关键词
QUANTUM TURBULENCE; MUTUAL FRICTION; HEAT CURRENT; HELIUM-II; DECAY;
D O I
10.1126/science.1233529
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:368 / 372
页数:5
相关论文
共 36 条
[1]   Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality [J].
Adams, Allan ;
Carr, Lincoln D. ;
Schaefer, Thomas ;
Steinberg, Peter ;
Thomas, John E. .
NEW JOURNAL OF PHYSICS, 2012, 14
[2]   Energy spectrum of superfluid turbulence with no normal-fluid component [J].
Araki, T ;
Tsubota, M ;
Nemirovskii, SK .
PHYSICAL REVIEW LETTERS, 2002, 89 (14) :1-145301
[3]   Landscape of superconducting membranes [J].
Denef, Frederik ;
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]
[5]   Gauge theory correlators from non-critical string theory [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
PHYSICS LETTERS B, 1998, 428 (1-2) :105-114
[6]   Breaking an Abelian gauge symmetry near a black hole horizon [J].
Gubser, Steven S. .
PHYSICAL REVIEW D, 2008, 78 (06)
[7]   Superconductors from Superstrings [J].
Gubser, Steven S. ;
Herzog, Christopher P. ;
Pufu, Silviu S. ;
Tesileanu, Tiberiu .
PHYSICAL REVIEW LETTERS, 2009, 103 (14)
[8]   Building a holographic superconductor [J].
Hartnoll, Sean A. ;
Herzog, Christopher P. ;
Horowitz, Gary T. .
PHYSICAL REVIEW LETTERS, 2008, 101 (03)
[9]   Lectures on holographic methods for condensed matter physics [J].
Hartnoll, Sean A. .
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (22)
[10]   Emergence of Turbulence in an Oscillating Bose-Einstein Condensate [J].
Henn, E. A. L. ;
Seman, J. A. ;
Roati, G. ;
Magalhaes, K. M. F. ;
Bagnato, V. S. .
PHYSICAL REVIEW LETTERS, 2009, 103 (04)