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Outline

Variational theory of two-fluid hydrodynamic modes at unitarity

2008, Physical Review A

https://doi.org/10.1103/PHYSREVA.77.033608

Abstract
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This research investigates the variational approach to Landau's two-fluid hydrodynamics for superfluid Fermi gases at unitarity, particularly focusing on breathing and dipole mode frequencies in isotropic traps. The study reveals that the frequencies of in-phase modes remain nearly constant across various temperatures, offering insights into the temperature independence observed in recent experimental data.

References (40)

  1. L. D. Landau, J. Phys. U.S.S.R. 5, 71 (1941).
  2. I. M. Khalatnikov, An Introduction to the Theory of Su- perfluidity (W. A. Benjamin, New York, 1965).
  3. J. Kinast, S. L. Hemmer, M. E. Gehm, A. Turlapov, and J. E. Thomas, Phys. Rev. Lett. 92, 150402 (2004).
  4. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 203201 (2004).
  5. E. Taylor and A. Griffin, Phys. Rev. A 72, 053630 (2005).
  6. V. B. Shenoy and T.-L. Ho, Phys. Rev. Lett. 80, 3895 (1998).
  7. Y. He, Q. Chen, C.-C. Chien, and K. Levin, e-print: arXiv:0704.1889.
  8. E. Zaremba, T. Nikuni, and A. Griffin, Journ. Low Temp. Phys. 116, 277 (1999).
  9. J. E. Thomas, J. Kinast, and A. Turlapov, Phys. Rev. Lett. 95, 120402 (2005).
  10. E. Taylor, H. Hu, X.-J. Liu, and A. Griffin, e-print: arXiv:0709.0698.
  11. R. Ozeri, N. Katz, J. Steinhauer, and N. Davidson, Rev. Mod. Phys. 77, 187 (2005).
  12. H. Hu, X.-J. Liu, and P. D. Drummond, Europhys. Lett. 74, 574 (2006); Phys. Rev. A 73, 023617 (2006).
  13. P. Nozières and S. Schmitt-Rink, Journ. Low Temp. Phys. 59, 195 (1985).
  14. G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Phys. Rev. Lett. 93, 200404 (2004).
  15. A. Bulgac, J. E. Drut, and P. Magierski, Phys. Rev. Lett. 96, 090404 (2006).
  16. E. Burovski, N. Prokof'ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett. 96, 160402 (2006).
  17. H. Hu, P. D. Drummond, and X.-J. Liu, Nature Physics 3, 469 (2007).
  18. E. Taylor, A. Griffin, N. Fukushima, and Y. Ohashi, Phys. Rev. A 74, 063626 (2006).
  19. N. Fukushima, Y. Ohashi, E. Taylor, and A. Griffin, Phys. Rev. A 75, 033609 (2007).
  20. H. Heiselberg, Phys. Rev. A 73, 013607 (2006).
  21. T.-L. Ho, Phys. Rev. Lett. 92, 090402 (2004).
  22. S. Giorgini, L. P. Pitaevskii, and S. Stringari, e-print: arXiv:0706.3360v1.
  23. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (El- sevier, Oxford, 2004).
  24. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996);
  25. C. Menotti, P. Pedri, and S. Stringari, Phys. Rev. Lett. 89, 250402 (2002).
  26. P. R. Zilsel, Phys. Rev. 79, 309 (1950).
  27. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
  28. A. Griffin, W.-C. Wu, and S. Stringari, Phys. Rev. Lett. 78, 1838 (1997).
  29. G. M. Bruun and C. W. Clark, Phys. Rev. Lett. 83, 5415 (1999).
  30. C. J. Pethick and H. Smith, Bose-Einstein Condensa- tion in Dilute Gases (Cambridge University Press, Cam- bridge, 2002).
  31. V. K. Akkineni, D. M. Ceperley, and N. Trivedi, Phys. Rev. B 76, 165116 (2007).
  32. H. Shi and A. Griffin, Phys. Rep. 304, 1 (1998).
  33. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Part 2 (Butterworth-Heinemann, Oxford, 2002), Sec. 28.
  34. Y. He, C.-C. Chien, Q. Chen, and K. Levin, e-print: arXiv:0704.1751.
  35. Q. Chen, J. Stajic, and K. Levin, Phys. Rep. 412, 1 (2005).
  36. G. E. Astrakharchik, R. Combescot, X. Leyronas, and S. Stringari, Phys. Rev. Lett. 95, 030404 (2005).
  37. Y. Castin, Comptes Rendus Physique 5, 407 (2005).
  38. In addition to the assumption that two-fluid hydrody- namics is applicable, we have also made use of the scaling ansatz in Eq. (41) in arriving at the result in Eq. (85). As shown in Ref. [36], there is an exact eigenstate of the isotropic trap Hamiltonian such that all atoms move with velocity v(r, t) = ar cos ωt.
  39. M. A. Baranov and D. S. Petrov, Phys. Rev. A 58, R801 (1998).
  40. L. D. Landau and E. M. Lifshitz, Statistical Physics (El- sevier, Oxford, 2003).