Viscosity and scale invariance in the unitary Fermi gas

Annals of Physics

Volumn 326, Issue 3, 2011, Pages 770-796

  Enss, Tilman ^a   Haussmann, Rudolf ^b   Zwerger, Wilhelm ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

Degenerate Fermi gas; Scale invariance; Viscosity

Indexed keywords

EID: 79151485697     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2010.10.002     Document Type: Article

References (82)

1. Policastro G., Son D.T., Starinets A.O. Phys. Rev. Lett. 2001, 87:081601.
2. Kovtun P., Son D.T., Starinets A.O. Phys. Rev. Lett. 2005, 94:111601.
3. Schaefer T., Teaney D. Rep. Prog. Phys. 2009, 72:126001.
4. Cohen T.D. Phys. Rev. Lett. 2007, 99:021602.
5. Son D.T. Phys. Rev. Lett. 2008, 100:029101.
6. Brigante M., Liu H., Myers R.C., Shenker S., Yaida S. Phys. Rev. Lett. 2008, 100:191601.
7. Kats Y., Petrov P. J. High Energy Phys. 2009, 01:044.
8. Buchel A., Myers R.C., Sinha A. J. High Energy Phys. 2009, 2009:084.
9. Hartnoll S.A. Classical Quant. Grav. 2009, 26:224002.
10. J. McGreevy, Holographic duality with a view toward many-body physics, 2009. Preprint arxiv:0909.0518.
11. S. Sachdev, Condensed matter and AdS/CFT, 2010. Preprint arxiv:1002.2947.
12. Meyer H.B. Phys. Rev. D 2007, 76:101701.
13. Meyer H.B. Phys. Rev. Lett. 2008, 100:162001.
14. Meyer H.B. J. High Energy Phys. 2008, 2008:031.
15. Sachdev S. Quantum Phase Transitions 1998, Cambridge University Press.
16. Müller M., Schmalian J., Fritz L. Phys. Rev. Lett. 2009, 103:025301.
17. D.S. Novikov, Viscosity of a two-dimensional Fermi liquid, 2006. Preprint arxiv:cond-mat/0603184.
18. Ketterle W., Zwierlein M. Ultracold Fermi Gases. Proceedings of the International School of Physics "Enrico Fermi" Varenna 2008, IOS Press, Amsterdam. M. Inguscio, W. Ketterle, C. Salomon (Eds.).
19. Bloch I., Dalibard J., Zwerger W. Rev. Mod. Phys. 2008, 80:885-964.
20. Giorgini S., Pitaevskii L., Stringari S. Rev. Mod. Phys. 2008, 80:1215-1274.
21. Nishida Y., Son D.T. Phys. Rev. D 2007, 76:086004.
22. Nikolić P., Sachdev S. Phys. Rev. A 2007, 75:033608.
23. Ho T.L. Phys. Rev. Lett. 2004, 92:090402.
24. Son D.T. Phys. Rev. Lett. 2007, 98:020604.
25. Werner F., Castin Y. Phys. Rev. A 2006, 74:053604.
26. Bruun G.M., Smith H. Phys. Rev. A 2007, 75:043612.
27. Rupak G., Schaefer T. Phys. Rev. A 2007, 76:053607.
28. Taylor E., Randeria M. Phys. Rev. A 2010, 81:053610.
29. Tan S. Ann. Phys. 2008, 323:2952-2970.
30. Son D.T., Wingate M. Ann. Phys. 2006, 321:197-224.
31. Wess J., Zumino B. Phys. Lett. B 1971, 37:95-97.
32. Zee A. Quantum Field Theory in a Nutshell 2003, Princeton University Press.
33. Petrov D.S. Phys. Rev. A 2003, 67:010703.
34. Nishida Y., Son D.T., Tan S. Phys. Rev. Lett. 2008, 100:090405.
35. Y. Castin, C. Mora, L. Pricoupenko, Four-body Efimov effect, 2010. Preprint arxiv:1006.4720.
36. Braaten E., Hammer H.W. Phys. Rep. 2006, 428:259-390.
37. Moroz S., Schmidt R. Ann. Phys. 2009, 325:491-513.
38. Martin P.C., Schwinger J. Phys. Rev. 1959, 115:1342-1373.
39. Smith H., Jensen H.H. Transport Phenomena 1989, Oxford University Press, USA.
40. Hansen J.P., McDonald I.R. Theory of Simple Liquids 2006, Academic Press.
41. Hohenberg P.C., Martin P.C. Ann. Phys. 1965, 34:291-359.
42. Forster D. Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions 1975, WA Benjamin.
43. Polyakov A.M. Sov. Phys. JETP 1970, 30:1164. [Zh. Eksp. Teor. Fiz. 57 (1969) 2144-2162].
44. Tan S. Ann. Phys. 2008, 323:2971-2986.
45. Braaten E., Platter L. Phys. Rev. Lett. 2008, 100:205301.
46. Braaten E., Kang D., Platter L. Phys. Rev. A 2008, 78:053606.
47. Balian R. From Microphysics to Macrophysics 1992, vol. 2. Springer.
48. Landau L.D., Khalatnikov I.M. Zh. Eksp. Teor. Fiz. 1949, 19:637-709. (English translation in Collected Papers of L.D. Landau (Pergamon Press, Ltd., Oxford, England, 1965), p. 494).
49. Diener R.B., Sensarma R., Randeria M. Phys. Rev. A 2008, 77:023626.
50. Hohenberg P.C., Halperin B.I. Rev. Mod. Phys. 1977, 49:435-479.
51. Ferrell R.A. J. Low Temp. Phys. 1988, 70:435-448.
52. Biskeborn R., Guernsey R.W. Phys. Rev. Lett. 1975, 34:455-458.
53. Schloms R., Pankert J., Dohm V. Physica B 1990, 165-166:563-564.
54. Baym G., Kadanoff L.P. Phys. Rev. 1961, 124:287-299.
55. Baym G. Phys. Rev. 1962, 127:1391-1401.
56. Aslamazov L.G., Larkin A.I. Phys. Lett. A 1968, 26:238.
57. Floerchinger S., Scherer M., Diehl S., Wetterich C. Phys. Rev. B 2008, 78:174528.
58. Haussmann R., Rantner W., Cerrito S., Zwerger W. Phys. Rev. A 2007, 75:023610.
59. Haussmann R., Punk M., Zwerger W. Phys. Rev. A 2009, 80:063612.
60. Combescot R., Leyronas X., Kagan M.Y. Phys. Rev. A 2006, 73:023618.
61. C. Cao, E. Elliott, J. Joseph, H. Wu, J. Petricka, T. Schaefer, J.E. Thomas, Observation of Universal Temperature Scaling in the Quantum Viscosity of a Unitary Fermi Gas, 2010. Preprint arxiv:1007.2625.
62. Turlapov A., Kinast J., Clancy B., Luo L., Joseph J., Thomas J.E. J. Low Temp. Phys. 2008, 150:567-576.
63. Götze W., Wölfle P. Phys. Rev. B 1972, 6:1226-1238.
64. Massignan P., Bruun G.M., Smith H. Phys. Rev. A 2005, 71:033607.
65. Bruun G.M., Smith H. Phys. Rev. A 2005, 72:043605.
66. Ho T.L., Mueller E.J. Phys. Rev. Lett. 2004, 92:160404.
67. Werner F., Castin Y. Phys. Rev. Lett. 2006, 97:150401.
68. Liu X.J., Hu H., Drummond P.D. Phys. Rev. Lett. 2009, 102:160401.
69. Luo L., Thomas J.E. J. Low Temp. Phys. 2009, 154:1-29.
70. Nascimbène S., Navon N., Jiang K., Chevy F., Salomon C. Nature 2010, 463:1057-1060.
71. Horikoshi M., Nakajima S., Ueda M., Mukaiyama T. Science 2010, 327:442.
72. Kirkpatrick T.R., Belitz D., Sengers J.V. J. Stat. Phys. 2002, 109:373-405.
73. Bruun G.M. Few-Body Syst. 2009, 45:227-232.
74. M. Zwierlein, private communication; see also A. Sommer et al., abstract K1.3 at DAMOP 2010, Houston, 2010.
75. Rangamani M., Ross S.F., Son D.T., Thompson E.G. J. High Energy Phys. 2009, 2009:075.
76. Yu Z., Bruun G.M., Baym G. Phys. Rev. A 2009, 80:23615.
77. Son D.T., Thompson E.G. Phys. Rev. A 2010, 81:063634.
78. Burovski E., Kozik E., Prokof'ev N., Svistunov B., Troyer M. Phys. Rev. Lett. 2008, 101:090402.
79. Punk M., Zwerger W. New J. Phys. 2006, 8:168.
80. Levesque D., Verlet L., Kürkijarvi J. Phys. Rev. A 1973, 7:1690-1700.
81. Viscardy S., Servantie J., Gaspard P. J. Chem. Phys. 2007, 126:184512.
82. Hagen C.R. Phys. Rev. D 1972, 5:377-388.