Matter-wave turbulence: Beyond kinetic scaling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 3, 2010, Pages

  Scheppach, Christian ^a   Berges, Jürgen ^b,c   Gasenzer, Thomas ^a,c  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; CORRELATION FUNCTION; DYNAMICAL EVOLUTION; DYNAMICAL PHENOMENA; FIXED POINTS; HEAVY-ION COLLISIONS; KOLMOGOROV SCALING; LONG RANGE CORRELATIONS; MATTER WAVES; NONPERTURBATIVE; QUANTUM FIELD THEORY; SCALING BEHAVIOR; THERMAL EQUILIBRIUMS; TURBULENCE SPECTRUM; ULTRA-COLD; ULTRACOLD ATOMIC GAS; UNIVERSAL SCALING EXPONENTS;

COMPUTATIONAL COMPLEXITY; COSMOLOGY; INFRARED SPECTROSCOPY;

TURBULENCE;

EID: 77949547895     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.033611     Document Type: Article

References (46)

1. N. G. Berloff and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013603 66, 013603 (2002).
2. N. G. Parker and C. S. Adams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.145301 95, 145301 (2005).
3. M. Kobayashi and M. Tsubota, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.045603 76, 045603 (2007).
4. E. A. L. Henn, J. A. Seman, G. Roati, K. M. F. Magalhaes, and V. S. Bagnato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.045301 103, 045301 (2009).
5. M. Strickland, J. Phys. G JPGPED 0954-3899 10.1088/0954-3899/34/8/S31 34, S429 (2007).
6. R. Micha and I. I. Tkachev, Phys. Rev. D JPGPED 1550-7998 10.1103/PhysRevD.70.043538 70, 043538 (2004).
7. J. Berges, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2009.01.020 820, 65 c (2009).
8. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941)
9. [V. Levin, Proc. R. Soc. London A 1364-5021 10.1098/rspa.1991.0075 434, 9 (1991)].
10. V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer-Verlag, Berlin, 1992).
11. J. Berges, A. Rothkopf, and J. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.041603 101, 041603 (2008).
12. J. Berges and G. Hoffmeister, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2008.12.017 813, 383 (2009).
13. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
14. L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore, and D. M. Stamper-Kurn, Nature NATUAS 0028-0836 10.1038/nature05094 443, 312 (2006).
15. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, and J. Schmiedmayer, Nature NATUAS 0028-0836 10.1038/nature06149 449, 324 (2007).
16. R. Micha and I. I. Tkachev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.121301 90, 121301 (2003).
17. J. Berges and J. Serreau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.111601 91, 111601 (2003).
18. J. H. Traschen and R. H. Brandenberger, Phys. Rev. D PRLTAO 1550-7998 10.1103/PhysRevD.42.2491 42, 2491 (1990).
19. S. Y. Khlebnikov and I. I. Tkachev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.219 77, 219 (1996).
20. L. Kofman, A. D. Linde, and A. A. Starobinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3195 73, 3195 (1994).
21. J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
22. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
23. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PHRVAO 1550-7998 10.1103/PhysRevD.10.2428 10, 2428 (1974).
24. J. Berges, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)01295-7 699, 847 (2002).
25. G. Aarts, D. Ahrensmeier, R. Baier, J. Berges, and J. Serreau, Phys. Rev. D NUPABL 1550-7998 10.1103/PhysRevD.66.045008 66, 045008 (2002).
26. F. Cooper, J. F. Dawson, and B. Mihaila, Phys. Rev. D NUPABL 1550-7998 10.1103/PhysRevD.67.056003 67, 056003 (2003).
27. A. Arrizabalaga, J. Smit, and A. Tranberg, JHEP NUPABL 1126-6708 10.1088/1126-6708/2004/10/017 10 (2004) 017.
28. J. Berges, S. Borsanyi, and J. Serreau, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(03)00261-X 660, 51 (2003).
29. J. Berges, S. Borsanyi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
30. J. Berges, J. Pruschke, and A. Rothkopf, Phys. Rev. D PRLTAO 1550-7998 10.1103/PhysRevD.80.023522 80, 023522 (2009).
31. T. Gasenzer, J. Berges, M. G. Schmidt, and M. Seco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063604 72, 063604 (2005).
32. A. M. Rey, B. L. Hu, E. Calzetta, A. Roura, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033610 69, 033610 (2004).
33. K. Temme and T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053603 74, 053603 (2006).
34. J. Berges and T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033604 76, 033604 (2007).
35. A. Branschädel and T. Gasenzer, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/13/135302 41, 135302 (2008).
36. T. Gasenzer, Eur. Phys. J. ST 168, 89 (2009)
37. e-print arXiv: 0812.0004 [cond-mat.other].
38. J. Berges, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1843591 739, 3 (2005).
39. G. Aarts and J. Berges, Phys. Rev. D APCPCS 1550-7998 10.1103/PhysRevD.64.105010 64, 105010 (2001).
40. T. Gasenzer and J. M. Pawlowski, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2008.10.049 670, 135 (2008).
41. J. Berges and S. Borsanyi, Phys. Rev. D PYLBAJ 1550-7998 10.1103/PhysRevD.74.045022 74, 045022 (2006).
42. A. M. Obukhov, Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. 5, 453 (1941).
43. G. Aarts and J. Berges, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.041603 88, 041603 (2002).
44. J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
45. J. Berges, S. Schlichting, and D. Sexty (2009), e-print arXiv: 0912.3135 [hep-lat].
46. P. C. Hohenberg and P. C. Martin, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(65)90280-0 34, 291 (1965).