Critical behavior in trapped strongly interacting Fermi gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 2, 2009, Pages

  Taylor, E ^a,b  

^a UNIVERSITY OF TRENTO   (Italy)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL BEHAVIOR; CRITICAL REGION; DENSITY PROFILE; FERMI GAS; INHOMOGENEITIES; LOCAL COMPRESSIBILITY; S-WAVE SCATTERING LENGTHS; TRAPPED FERMI GAS; TRAPPED GAS; UNITARITY;

ELECTRON GAS; TECHNETIUM;

FERMIONS;

EID: 69149095715     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.023612     Document Type: Article

References (60)

1. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 80, 1215 (2008). 10.1103/RevModPhys.80.1215
2. Q. Chen, J. Stajic, and K. Levin, Phys. Rev. Lett. 95, 260405 (2005). 10.1103/PhysRevLett.95.260405
3. R. Haussmann, W. Rantner, S. Cerrito, and W. Zwerger, Phys. Rev. A 75, 023610 (2007). 10.1103/PhysRevA.75.023610
4. H. Hu, P. D. Drummond, and X.-J. Liu, Nat. Phys. 3, 469 (2007) 10.1038/nphys598
5. H. Hu, X.-J. Liu, and P. D. Drummond, Phys. Rev. A 77, 061605 (R) (2008). 10.1103/PhysRevA.77.061605
6. A. Bulgac, J. E. Drut, and P. Magierski, Phys. Rev. Lett. 99, 120401 (2007). 10.1103/PhysRevLett.99.120401
7. R. Haussmann and W. Zwerger, Phys. Rev. A 78, 063602 (2008). 10.1103/PhysRevA.78.063602
8. J. Kinast, A. Turlapov, J. E. Thomas, Q. Chen, J. Stajic, and K. Levin, Science 307, 1296 (2005). 10.1126/science.1109220
9. L. Luo, B. Clancy, J. Joseph, J. Kinast, and J. E. Thomas, Phys. Rev. Lett. 98, 080402 (2007). 10.1103/PhysRevLett.98.080402
10. L. Luo and J. E. Thomas, J. Low Temp. Phys. 154, 1 (2009). 10.1007/s10909-008-9850-2
11. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics: Part 2 (Butterworth-Heinemann, Oxford, 2002).
12. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1996).
13. L. P. Kadanoff, W. Götze, D. Hamblen, R. Hecht, E. A. S. Lewis, V. V. Palciauskas, M. Rayl, and J. Swift, Rev. Mod. Phys. 39, 395 (1967). 10.1103/RevModPhys.39.395
14. C. J. Lobb, Phys. Rev. B 36, 3930 (1987). 10.1103/PhysRevB.36.3930
15. G. Deutscher, in Novel Superconductivity, edited by, S. A. Wolf, and, V. Z. Kresin, (Plenum, New York, 1987).
16. K. Damle, T. Senthil, S. N. Majumdar, and S. Sachdev, Europhys. Lett. 36, 7 (1996). 10.1209/epl/i1996-00179-4
17. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996). 10.1103/PhysRevA.54.R4633
18. T. Donner, S. Ritter, T. Bourdel, A. Köhl, and T. Esslinger, Science 315, 1556 (2007). 10.1126/science.1138807
19. M. J. Buckingham and W. M. Fairbank, Progress in Low Temperature Physics, edited by, J. C. Gorter, (North-Holland, Amserdam, 1961), Vol. 3.
20. C. A. R. Sá de Melo, M. Randeria, and J. R. Engelbrecht, Phys. Rev. Lett. 71, 3202 (1993). 10.1103/PhysRevLett.71.3202
21. A. J. Leggett, J. Phys. Colloq. 41, C7-19 (1980) 10.1051/jphyscol:1980704
22. D. M. Eagles, Phys. Rev. 186, 456 (1969). 10.1103/PhysRev.186.456
23. P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985). 10.1007/BF00683774
24. M. Randeria, talk given at KITP Program: Strongly Correlated Phases in Condensed Matter and Degenerate Atomic Systems, Santa Barbara, (2007).
25. F. Pistolesi and G. C. Strinati, Phys. Rev. B 49, 6356 (1994) 10.1103/PhysRevB.49.6356
26. F. Pistolesi and G. C. Strinati, Phys. Rev. B 53, 15168 (1996). 10.1103/PhysRevB.53.15168
27. J. R. Engelbrecht, M. Randeria, and C. A. R. Sá de Melo, Phys. Rev. B 55, 15153 (1997). 10.1103/PhysRevB.55.15153
28. J. A. Lipa and T. C. P. Chui, Phys. Rev. Lett. 51, 2291 (1983). 10.1103/PhysRevLett.51.2291
29. G. Ahlers, Phys. Rev. 171, 275 (1968). 10.1103/PhysRev.171.275
30. G. Ahlers, Phys. Rev. A 3, 696 (1971). 10.1103/PhysRevA.3.696
31. L. D. Landau and E. M. Lifshitz, Statistical Physics (Elsevier, Oxford, 2003), Sec. 146.
32. The constant 1/32 π2 in Eq. 2 is somewhat arbitrary and there are a number of definitions of Gi in the literature, all with the same dependence on the Ginzburg-Landau coefficients but with different values of this prefactor (also depending on weather one is working in the normal or superfluid phase). Our definition in Eq. 2 is the same as that used in Ref., and we use this value in both the superfluid and normal phases for simplicity.
33. L. P. Gork'ov, Sov. Phys. JETP 9, 1364 (1959).
34. H. Shi and A. Griffin, Phys. Rep. 304, 1 (1998). 10.1016/S0370-1573(98) 00015-5
35. N. Andrenacci, P. Pieri, and G. C. Strinati, Phys. Rev. B 68, 144507 (2003). 10.1103/PhysRevB.68.144507
36. P. Pieri and G. C. Strinati, Phys. Rev. B 71, 094520 (2005). 10.1103/PhysRevB.71.094520
37. R. B. Diener, R. Sensarma, and M. Randeria, Phys. Rev. A 77, 023626 (2008). 10.1103/PhysRevA.77.023626
38. N. Fukushima, Y. Ohashi, E. Taylor, and A. Griffin, Phys. Rev. A 75, 033609 (2007). 10.1103/PhysRevA.75.033609
39. J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. B 21, 3976 (1980). 10.1103/PhysRevB.21.3976
40. J. C. Le Guillou and J. Zinn-Justin, J. Phys. (France) Lett. 46, L135 (1985).
41. T.-L. Ho and Q. Zhou, e-print arXiv:0901.0018.
42. Q. Zhou, Y. Kato, N. Kawashima, and N. Trivedi, e-print arXiv:0901.0606, Phys. Rev. Lett. (to be published).
43. P. Arnold and B. Tomáik, Phys. Rev. A 64, 053609 (2001). 10.1103/PhysRevA.64.053609
44. Equation 15 has been derived by taking n to be a constant. One can readily confirm that any smooth function of position and temperature will not change this result, however. We also note that the scaling form of Eq. 15 is independent of the t (0) dependence of the upper limit of integration, Rc′.
45. B. D. Josephson, Phys. Lett. 21, 608 (1966). 10.1016/0031-9163(66)90088-6
46. T.-L. Ho, Phys. Rev. Lett. 92, 090402 (2004). 10.1103/PhysRevLett.92. 090402
47. M. Holland, S. J. J. M. F. Kokkelmans, M. L. Chiofalo, and R. Walser, Phys. Rev. Lett. 87, 120406 (2001). 10.1103/PhysRevLett.87.120406
48. W. Ketterle and M. W. Zwierlein, in Proceedings of the International School of Physics "Enrico Fermi:" Course CLXIV "Ultra-Cold Fermi Gases," Varenna, June 2006, edited by, M. Inguscio, W. Ketterle and, C. Salomon, (IOS Press, Amsterdam, 2008).
49. J. A. Lipa, J. A. Nissen, D. A. Stricker, D. R. Swanson, and T. C. P. Chui, Phys. Rev. B 68, 174518 (2003). 10.1103/PhysRevB.68.174518
50. N. Overend, M. A. Howson, and I. D. Lawrie, Phys. Rev. Lett. 72, 3238 (1994). 10.1103/PhysRevLett.72.3238
51. W. F. Vinen and J. M. Vaughan, J. Phys. Colloq. 31, C3-29 (1970). 10.1051/jphyscol:1970303
52. Y. He, C.-C. Chien, Q. Chen, and K. Levin, Phys. Rev. B 76, 224516 (2007). 10.1103/PhysRevB.76.224516
53. Reference predicts a second-order phase transition. The omission of long-wavelength phase fluctuations (phonons) avoids the problems of being in the critical region.
54. M. Holzmann and G. Baym, Phys. Rev. Lett. 90, 040402 (2003). 10.1103/PhysRevLett.90.040402
55. G. C. Strinati, P. Pieri, and C. Lucheroni, Eur. Phys. J. B 30, 161 (2002). 10.1140/epjb/e2002-00371-x
56. M. Bijlsma and H. T. C. Stoof, Phys. Rev. A 54, 5085 (1996). 10.1103/PhysRevA.54.5085
57. Y. Ohashi, J. Phys. Soc. Jpn. 74, 2659 (2005). 10.1143/JPSJ.74.2659
58. S. Diehl, H. Gies, J. M. Pawlowski, and C. Wetterich, Phys. Rev. A 76, 021602 (R) (2007). 10.1103/PhysRevA.76.021602
59. K. B. Gubbels and H. T. C. Stoof, Phys. Rev. Lett. 100, 140407 (2008). 10.1103/PhysRevLett.100.140407
60. F. M. Gasparini, M. O. Kimball, K. P. Mooney, and M. Diaz-Avila, Rev. Mod. Phys. 80, 1009 (2008). 10.1103/RevModPhys.80.1009