Collective excitations of strongly interacting Fermi gases of atoms in a harmonic trap

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 1, 2005, Pages

  Kim, Yeong E ^a   Zubarev, Alexander L ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AXIAL BREATHING; BOSE-EINSTEIN CONDENSATION; HARMONIC CONFINEMENT; HYLLERAAS-UNDHEIM METHOD;

CONDENSATION; HYDRODYNAMICS; QUANTUM THEORY; VAPORS;

FERMI LEVEL;

EID: 27144513405     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.011603     Document Type: Article

References (58)

1. M. E. Gehm and J. E. Thomas, Am. Sci. AMSCAC 0003-0996 10.1511/2004.3.238 92, 238 (2004).
2. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
3. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) NATUAS 0028-0836 10.1038/nature02199 426, 537 (2003).
4. K. E. Strecker, G. B. Partridge, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080406 91, 080406 (2003).
5. J. Cubizolles, T. Bourdel, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.240401 91, 240401 (2003).
6. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.240402 91, 240402 (2003).
7. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. H. Denschlag, and R. Grimm, Science SCIEAS 0036-8075 10.1126/science.1093280 302, 2101 (2003).
8. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250401 91, 250401 (2003).
9. C. A. Regal and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.230404 90, 230404 (2003).
10. K. M. Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science SCIEAS 0036-8075 10.1126/science.1079107 298, 2179 (2002).
11. J. Kinast, A. Turlapov, J. E. Thomas, Q. Chen, J. Stajic, and K. Levin, Science SCIEAS 0036-8075 10.1126/science.1109220 307, 1296 (2005).
12. J. Kinast, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.170404 94, 170404 (2005); J. E. Thomas, J. Kinast, and A. Turlapov, cond- mat/0503620.
13. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. Hecker Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.203201 92, 120401 (2004).
14. J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, J. E. Thomas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.150402 92, 150402 (2004).
15. 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).
16. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. Hecker Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.203201 92, 203201 (2004);
17. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, R. Geursen, C. Chin, J. Hecker Denschlag, and R. Grimm, cond- mat/0412712.
18. J. Kinast, A. Turlapov, and J. E. Thomas, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.051401 70, 051401 (R) (2004).
19. C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J. Hecker Denschlag, and R. Grimm, Science SCIEAS 0036-8075 10.1126/science.1100818 305, 1128 (2004).
20. 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).
21. Y. E. Kim and A. L. Zubarev, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.05.051 327, 397 (2004).
22. Y. E. Kim and A. L. Zubarev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033612 70, 033612 (2004);
23. Y. E. Kim and A. L. Zubarev, cond- mat/0408283.
24. S. Stringari, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10001-5 65, 749 (2004).
25. H. Heiselberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 040402, 93, 040402 (2004).
26. C. Menotti, P. Pedri, and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.250402 89, 250402 (2002).
27. A. Bulgac and G. F. Bertsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.070401 94, 070401 (2005).
28. Hui Hu, A. Minguzzi, Xia-Ji Liu, and M. P. Tosi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190403 93, 190403 (2004).
29. N. Manini and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033625, 71, 033625 (2005).
30. M. Cozzini and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.070401 91, 070401 (2003).
31. K. Burke and E. K. U. Gross, in Density Functionals edited by, D. Joubert, Lecture Notes in Physics Vol. 500 (Springer-Verlag, Berlin, 1998), p. 123, and references therein.
32. C. F. von Weizscker, Z. Phys. ZEPYAA 0044-3328 96, 431 (1935).
33. E. Madelung, Z. Phys. ZEPYAA 0044-3328 40, 322 (1927).
34. Y. E. Kim and A. L. Zubarev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.015602 67, 015602 (2003).
35. Y. E. Kim and A. L. Zubarev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.023602 69, 023602 (2004).
36. W. Lenz, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01340138 56, 778 (1929);
37. K. Huang and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105. 767 105, 767 (1957);
38. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957);
39. V. N. Efimov and M. Ya. Amusya, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 47, 581 (1964)
40. V. N. Efimov and M. Ya. Amus'99ya, [Sov. Phys. JETP SPHJAR 0038-5646 20, 388 (1965)].
41. G. A. Baker, Jr., Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979201005775 15, 1314 (2001);
42. G. A. Baker, Jr., Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.60. 054311 60, 054311 (1999).
43. J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.050401 91, 050401 (2003).
44. R. Combescot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 120401 91, 120401 (2003).
45. G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.200404 93, 200404 (2004).
46. T. L. Ho and E. J. Mueller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.160404 92, 160404 (2004);
47. T. L. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.090402 92, 090402 (2004).
48. G. M. Bruun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053602 70, 053602 (2004).
49. 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) pp. 13- 27;
50. P. Nozires and S. Schmitt-Rink, J. Low Temp. Phys. JLTPAC 0022-2291 10.1103/PhysRev.186.456 59, 195 (1985).
51. D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090404. 93, 090404 (2004).
52. R. Combescot and X. Leyronas, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10281-7 68, 762 (2004).
53. E. A. Hylleraas and B. Undheim, Z. Phys. ZEPYAA 0044-3328 65, 759 (1930).
54. R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, Berlin, 1982).
55. R. Combescot and X. Leyronas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.138901 93, 138901 (2004).
56. L. P. Gorkov and T. K. Melik-Bakhudarov, Sov. Phys. JETP SPHJAR 0038-5646 13, 1018 (1961).
57. 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).
58. M. Bartenstein, A. Altmeyer, S. Riedl, R. Geursen, S. Jochim, C. Chin, J. Hecker Denschlag, R. Grimm, A. Simoni, E. Tiesinga, C. J. Williams, and P. S. Julienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.103201 94, 103201 (2005).