Quantum fluctuations in the superfluid state of the BCS-BEC crossover

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 2, 2008, Pages

  Diener, Roberto B ^a   Sensarma, Rajdeep ^a   Randeria, Mohit ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE VELOCITY; BOSE-EINSTEIN CONDENSATION; ENERGY GAP; GROUND STATE; MOLECULAR INTERACTIONS; PHASE SHIFT; THEOREM PROVING;

HARTREE SHIFTS; LANDAU CRITICAL VELOCITY; MEAN FIELD SOLUTIONS; QUANTUM FLUCTUATIONS; ZERO POINT MOTION;

FERMI LIQUIDS;

EID: 40749141083     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.023626     Document Type: Article

References (50)

1. A. J. Leggett, in Modern Trends in the Theory of Condensed Matter, edited by, A. Pekalski, and, R. Przystawa, (Springer-Verlag, Berlin, 1980).
2. D. M. Eagles, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.186.456 186, 456 (1969).
3. P. NoziÃres and S. Schmitt-Rink, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00683774 59, 195 (1985).
4. M. Randeria, in Bose-Einstein Condensation, edited by, A. Griffin, D. Snoke, and, S. Stringari, (Cambridge University Press, Cambridge, England, 1995), pp. 355â€"392.
5. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
6. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120403 92, 120403 (2004).
7. K. M. OaHara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science SCIEAS 0036-8075 10.1126/science.1079107 298, 2179 (2002).
8. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120401 92, 120401 (2004).
9. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.050401 93, 050401 (2004).
10. J. Kinast, A. Turlapov, J. Thomas, Q. Chen, J. Stajic, and K. Levin, Science SCIEAS 0036-8075 10.1126/science.1109220 307, 1296 (2005).
11. G. B. Partridge, K. E. Strecker, R. I. Kamar, M. W. Jack, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.020404 95, 020404 (2005).
12. C. A. R. SÃ de Melo, M. Randeria, and J. R. Engelbrecht, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3202 71, 3202 (1993).
13. J. R. Engelbrecht, M. Randeria, and C. A. R. SÃ de Melo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.15153 55, 15153 (1997);
14. J. R. Engelbrecht, M. Randeria, and C. A. R. SÃ de Melo, Phys. Rev. B PRBMDO 0163-1829 (to be published).
15. M. Dreschler and W. Zwerger, Ann. Phys. ANPYA2 0003-3804 1, 15 (1992) also used a functional integral approach for the two-dimensional crossover problem, but with a simplified approximation for the number equation.
16. T. L. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.090402 92, 090402 (2004).
17. J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.050401 91, 050401 (2003);
18. S.-Y. Chang, V. R. Pandharipande, J. Carlson, and K. E. Schmidt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.043602 70, 043602 (2004).
19. G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.200404 93, 200404 (2004).
20. H. Hu, X.-J. Liu, and P. Drummond, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10023-y 74, 574 (2006).
21. Y. Nishida and D. T. Son, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050403 97, 050403 (2006).
22. P. Nikolic and S. Sachdev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033608 75, 033608 (2007). These authors describe universality at the unitary point in terms of a nearby quantum critical point, and then use a 1a •N approach to compute universal quantities.
23. M. Y. Veillette, D. E. Sheehy, and L. Radzihovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.043614 75, 043614 (2007).
24. R. Haussmann, W. Rantner, S. Cerrito, and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023610 75, 023610 (2007).
25. V. M. Galitskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 34, 151 (1958)
26. V. M. Galitskii, [Sov. Phys. JETP SPHJAR 0038-5646 7, 104 (1958)].
27. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957).
28. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (Dover, Mineola, 2003).
29. D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090404 93, 090404 (2004).
30. R. Sensarma, M. Randeria, and T. L. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.090403 96, 090403 (2006).
31. R. Combescot, M. Y. Kagan, and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042717 74, 042717 (2006).
32. D. E. Miller, e-print arXiv:cond-mat/0707.2354.
33. The definition of the effective range in the case of a Feshbach resonance, as well as the fact that current experiments are done in the regime of broad resonances can be found in R. Diener and T. L. Ho, e-print arXiv:cond-mat/0405174;
34. see also D. S. Petrov, C. Salomon, and G. Shlyapnikov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/9/014 38, S645 (2005).
35. M. Randeria, J. M. Duan, and L. Y. Shieh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.327 41, 327 (1990).
36. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.112.1900 112, 1900 (1958).
37. L. P. Gorkov and T. K. Melik-Barkhudarov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 40, 1452 (1961)
38. L. P. Gorkov and T. K. Melik-Barkhudarov, [Sov. Phys. JETP SPHJAR 0038-5646 13, 1018 (1961)].
39. J. Joseph, B. Clancy, L. Luo, J. Kinast, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.170401 98, 170401 (2007). In this work the sound was propagating in a cigar-shape trap and thus the measured speed of sound is not directly comparable to our result. The quoted value in the text is obtained through their quoted value of I using their experimental data.
40. Z. Yu and G. Baym, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73. 063601 73, 063601 (2006).
41. A. Paramekanti, M. Randeria, T. V. Ramakrishnan, and S. S. Mandal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.6786 62, 6786 (2000).
42. D. Pines and D. Bohm, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.85.338 85, 338 (1952);
43. D. Bohm and D. Pines, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.92.609 92, 609 (1953);
44. K. Sawada, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.372 106, 372 (1957);
45. K. Sawada, K. A. Brueckner, N. Fukuda, and R. Brout, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.507 108, 507 (1957).
46. Q. Chen, J. Stajic, S. Tan, and K. Levin, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.005 412, 1 (2005).
47. Y. Ohashi and A. Griffin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.063612 67, 063612 (2003).
48. P. Pieri, L. Pisani, and G. C. Strinati, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.012506 72, 012506 (2005).
49. S. Diehl and C. Wetterich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033615 73, 033615 (2006).
50. J. R. Engelbrecht and M. Randeria, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.12419 45, 12419 (1992).