Quantitative comparison between theoretical predictions and experimental results for the BCS-BEC crossover

Physical Review Letters

Volumn 93, Issue 10, 2004, Pages

  Perali, A ^a   Pieri, P ^a   Strinati, G C ^a  

^a UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDENSATION; DATA REDUCTION; DENSITY (OPTICAL); FERMIONS; GREEN'S FUNCTION; MONTE CARLO METHODS; PARAMETER ESTIMATION; QUENCHING; RESONANCE; SCATTERING;

AXIAL DENSITY; LOCAL-DENSITY APPROXIMATION; MEAN-FIELDS; WAVE VECTORS;

QUANTUM THEORY;

EID: 19544374473     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.100404     Document Type: Article

References (32)

1. D. M. Eagles, Phys. Rev. 186, 456 (1969).
2. A. J. Leggett, in Modern Trends in the Theory of Condensed Matter, edited by A. Pekalski and R. Przystawa, Lecture Notes in Physics Vol. 115 (Springer-Verlag, Berlin, 1980), p. 13.
3. P. Nozières and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
4. C. W. Lai, J. Zoch. A. C. Gossard, and D. S. Chemla, Science 303, 503 (2004), and references quoted therein.
5. M. Baldo, U. Lombardo, and P. Schuck, Phys. Rev. C 52, 975 (1995).
6. See, e.g., V. M. Loktev, R. M. Quick, and S. G. Sharapov, Phys. Rep. 349, 1 (2001).
7. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003); S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science 302, 2101 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
8. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003); S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science 302, 2101 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
9. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003); S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science 302, 2101 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
10. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 537 (2003); S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science 302, 2101 (2003); M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003); C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
11. U. Fano, Nuovo Cimento 12, 156 (1935); Phys. Rev. 124, 1866 (1961); H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962); S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998).
12. U. Fano, Nuovo Cimento 12, 156 (1935); Phys. Rev. 124, 1866 (1961); H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962); S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998).
13. U. Fano, Nuovo Cimento 12, 156 (1935); Phys. Rev. 124, 1866 (1961); H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962); S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998).
14. U. Fano, Nuovo Cimento 12, 156 (1935); Phys. Rev. 124, 1866 (1961); H. Feshbach, Ann. Phys. (N.Y.) 19, 287 (1962); S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998).
15. In contrast, for narrow resonances a bose-fermion model should be more appropriate. See, e.g., J. N. Milstein, S. J. J. M. F. Kokkelmans, and M. J. Holland, Phys. Rev. A 66, 043604 (2002); Y. Ohashi and A. Griffin, Phys. Rev. A 67, 033603 (2003).
16. In contrast, for narrow resonances a bose-fermion model should be more appropriate. See, e.g., J. N. Milstein, S. J. J. M. F. Kokkelmans, and M. J. Holland, Phys. Rev. A 66, 043604 (2002); Y. Ohashi and A. Griffin, Phys. Rev. A 67, 033603 (2003).
17. J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. 91, 050401 (2003).
18. P. Pieri, L. Pisani, and G. C. Strinati, Phys. Rev. Lett. 92, 110401 (2004).
19. A. Perali, P. Pieri, and G. C. Strinati, Phys. Rev. A 68, 031601(R) (2003).
20. A. Perali, P. Pieri, L. Pisani, and G. C. Strinati, Phys. Rev. Lett. 92, 220404 (2004).
21. V. N. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, Cambridge, England, 1987).
22. J. R. Schrieffer, Theory of Superconductivity (W. A. Benjamin, New York, 1964), Chap. 8.
23. Cf., e.g., A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
24. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004).
25. -1 in Fig. 1 (from left to right). Even with these new values of N and the scattering length, we have verified that the agreement between the experimental and theoretical density profiles is very good
26. 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. 93, 050401 (2004).
27. M. W. Zwierlein, C. A. Stan, C. H Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. 92, 120403 (2004).
28. F. Dyson, Nature (London) 427, 297 (2004).
29. K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science 298, 2179 (2002).
30. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
31. D S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. 93, 090404 (2004).
32. P. Pieri and G. C. Strinati, Phys. Rev. B 61, 15 370 (2000); cond-mat/9811166.