End-point thermodynamics of an atomic Fermi gas subject to a Feshbach resonance

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 4, 2004, Pages

  Carr, L D ^a   Chiaramonte, R ^a   Holland, M J ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDENSATION; ENTROPY; FUNCTIONS; GASES; KINETIC ENERGY; MAGNETIC FIELDS; POTENTIAL ENERGY; THERMODYNAMICS;

CHEMICAL POTENTIAL; FESHBACH RESONANCE; INTERACTION ENERGIES; MOLECULAR GASES;

FERMI LEVEL;

EID: 19744381461     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.043609     Document Type: Article

References (53)

1. M. Randeria, Bose-Einstein Condensation (Cambridge University Press, Cambridge, 1995), Chap. 15, pp. 355-392.
2. M. Holland, S. J. J. M. F. Kokkelmans, M. L. Chiofalo, and R. Walser, Phys. Rev. Lett. 87, 120406 (2001).
3. E. Timmermans, K. Furuya, P. W. Milonni, and A. K. Kerman, Phys. Lett. A 285, 228 (2001).
4. Y. Ohashi and A. Griffin, Phys. Rev. Lett. 89, 130402 (2002).
5. It is also possible to obtain such superfluid states by increasing the density and/or changing the interaction strength. Here, as we consider a fixed total number of atoms in a harmonic trap and weak interactions, it is the temperature which plays the most important role in obtaining BEC or BCS.
6. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) 426, 437 (2003).
7. 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).
8. S. Jochim, M. Bartenstein, A. Altmeyer, S. Riedl, C. Chin, J. H. Denschlag, and R. Grimm, Science 302, 2102 (2003).
9. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
10. J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. 92, 150402 (2004).
11. 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).
12. 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).
13. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 203201 (2004).
14. J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, Phys. Rev. A 56, R1067 (1997).
15. M. J. Holland, B. DeMarco, and D. S. Jin, Phys. Rev. A 61, 053610 (2000).
16. T. Koehler, T. Gasenzer, and K. Burnett, Phys. Rev. A 67, 013601 (2003).
17. Y. Ohashi and A. Griffin, Phys. Rev. A 67, 033603 (2003).
18. D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. 93, 090404 (2004).
19. S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. A 69, 031602 (2004).
20. M. J. Holland, C. Menotti, and L. Viverit, e-print cond-mat/0404234.
21. R. B. Diener and T.-L. Ho, e-print cond-mat/0404517.
22. G. M. Falco and H. T. C. Stoof, Phys. Rev. Lett. 92, 130401 (2004).
23. P. D. Drummond and K. V. Kheruntsyan, e-print cond-mat/0404429.
24. A. V. Andreev, V. Gurarie, and L. Radzihovsky, e-print condmat/0404724.
25. J. Stajic, J. N. Milstein, Q. Chen, M. L. Chiofalo, M. J. Holland, and K. Levin, Phys. Rev. A 69, 063610 (2004).
26. J. Javanainen, M. Kotrun, Y. Zheng, A. Carmichael, U. Shrestha, P. J. Meinel, M. Mackie, O. Dannenberg, and K.-A. Suominen, Phys. Rev. Lett. 92, 200402 (2004).
27. J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. 91, 050401 (2003).
28. A. Bulgac, P. F. Bedaque, and A. C. Fonseca, e-print cond-mat/0306302.
29. A. Perali, P. Pieri, L. Pisani, and G. C. Strinati, Phys. Rev. Lett. 92, 220404 (2004).
30. T. Bourdel, J. Cubizolles, L. Khaykovich, K. M. F. Magalhaes, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. Lett. 91, 020402 (2003).
31. K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science 298, 2179 (2002).
32. T.-L. Ho, Phys. Rev. Lett. 92, 090402 (2004).
33. L. D. Carr, G. V. Shlyapnikov, and Y. Castin, Phys. Rev. Lett. 92, 150404 (2004).
34. K. Huang, Statistical Mechanics, 2nd ed. (Wiley. New York, 1987).
35. 40K. This has been conjectured to be due to the differing widths of the Feshbach resonances. See [42] for further discussion on the matter.
36. K. Xu, T. Mukaiyama, J. R. Abo-Shaeer, J. K. Chin, D. E. Miller, and W. Ketterle, Phys. Rev. Lett. 91, 210402 (2003).
37. C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J. H. Denschlag, and R. Grimm, Science 305, 1128 (2004).
38. F. Chevy, V. Bretin, P. Rosenbusch, K. W. Madison, and J. Dalibard, Phys. Rev. Lett. 88, 250402 (1997).
39. Z. Hadzibabic, S. Gupta, C. A. Stan, C. H. Schunck, M. W. Zwierlein, K. Dieckmann, and W. Ketterle, Phys. Rev. Lett. 91, 160401 (2003).
40. We note that there is a certain similarity between entropic cooling and forced evaporative cooling [51].
41. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004).
42. S. De Palo, M. L. Chiofalo, M. J. Holland, and S. J. J. M. F. Kokkelmans, e-print cond-mat/0404672.
43. 1/3 for ω in all expressions.
44. R. Combescot, Europhys. Lett. 55, 150 (2001).
45. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
46. See [53] and references therein for more sophisticated theoretical treatments.
47. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part I (Reed Educational and Professional Publishing Ltd., Boston, 1980), Vol. 5.
48. L. D. Carr and Y. Castin, Phys. Rev. A 66, 063602 (2002).
49. A. Bulgac, e-print cond-mat/0309358.
50. L. P. Gor'kov and T. K. Melik-Barkhudarov, Sov. Phys. JETP 13, 1018 (1961).
51. C. Chin and R. Grimm, Phys. Rev. A 69, 033612 (2004).
52. F are sufficient to achieve a weakly interacting BCS transition.
53. G. Metikas, O. Zobay, and G. Alber, Phys. Rev. A 69, 043614 (2004).