Theory of Bose-Einstein condensation for trapped atoms

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 355, Issue 1733, 1997, Pages 2235-2245

  Proukakis, N P ^a   Burnett, K ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

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EID: 3042951290     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0122     Document Type: Article

References (45)

1. Anderson, M. H., Ensher, J. R., Matthews, M. R., Wieman, C. E. & Cornell, E. A. 1995 Observation of Bose-Einstein condensation in a dilute atomic vapor. Science 269, 198-201.
2. Beliaev, S. T. 1958 Energy spectrum of a non-ideal Bose gas. Sov. Phys. JETP 7, 299-307.
3. Bijlsma, M. & Stoof, H. T. C. 1997 Variational approach to the dilute Bose gas. Phys. Rev. A 55, 498-512.
4. Bradley, C. C., Sackett, C. A., Tollett, J. J. & Hulet, R. G. 1995 Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions. Phys. Rev. Lett. 75, 1687-1690.
5. Burnett, K. 1996 Bose-Einstein condensation with evaporatively cooled atoms. Contemp. Phys. 37, 1-14.
6. Castin, Y., Dalibard, J. & Cohen-Tannoudji, C. 1995 Laser cooling and trapping of neutral atoms. In Bose-Einstein condensation (ed. A. Griffin, D. W. Snoke & S. Stringari), pp. 173-201. Cambridge University Press.
7. Davis, K. B., Mewes, M.-O., Andrews, M. R., van Druten, N. J., Durfee, D. S., Kurn, D. M. & Ketterle, W. 1995 Bose-Einstein condensation in a gas of sodium atoms. Phys. Rev. Lett. 75, 3969-3973.
8. Dodd, R. J. 1996 Approximate solutions of the nonlinear Schrödinger equation for ground and excited states of Bose-Einstein condensates. J. Res. Nat. Inst. Stand. Tech. 101, 545-552.
9. Dodd, R. J., Edwards, M., Williams, C. J., Clark, C. W., Holland M. J., Ruprecht, P. A. & Burnett, K. A. 1996 Role of attractive interactions on Bose-Einstein condensation. Phys. Rev. A 54, 661-664.
10. Dörre, P., Haug, H. & Tran Thoai, D. B. 1979 Condensate theory versus pairing theory for degenerate Bose systems. J. Low Temp. Phys. 35, 465-485.
11. Edwards, M., Dodd, R. J., Clark, C. W. & Burnett, K. 1996a Zero-temperature, mean-field theory of atomic Bose-Einstein condensates. J. Res. Nat. Inst. Stand. Tech. 101, 553-565.
12. Edwards, M., Dodd, R. J., Clark, C. W., Ruprecht, P. A. & Burnett, K. 1996b Properties of a Bose-Einstein condensate in an anisotropic harmonic potential. Phys. Rev. A 53, R1950-1953.
13. Edwards, M., Ruprecht, P. A., Burnett, K., Dodd, R. J. & Clark, C. W. 1996c Collective excitations of atomic Bose-Einstein condensates. Phys. Rev. Lett. 77, 1671-1674.
14. Ginzburg, V. L. & Pitaevskii, L. P. 1958 On the theory of superfluidity. Sov. Phys. JETP 7, 858.
15. Greytak, T. J. 1995 Prospects for Bose-Einstein condensation in magnetically trapped atomic hydrogen. In Bose-Einstein condensation (ed. A. Griffin, D. W. Snoke & S. Stringari), pp. 131-159. Cambridge University Press.
16. Griffin, A. 1993 Excitations in a Bose-condensed Liquid, pp. 145-148. Cambridge University Press.
17. Gross, E. P. 1963 J. Math. Phys 4, 195.
18. Huang, K. 1987 Statistical mechanics, 2nd edn, pp. 230-238. New York: Wiley.
19. Huang, K. 1995 Bose-Einstein condensation and superfluidity. In Bose-Einstein condensation (ed. A. Griffin, D. W. Snoke & S. Stringari), pp. 31-50. Cambridge University Press.
20. Huse, D. A. & Siggia, E. D. 1982 The density distribution of a weakly interacting Bose gas in an external potential. J. Low Temp. Phys. 46, 137-149.
21. Hutchinson, D. A., Zaremba, E. & Griffin, A. 1997 Finite temperature excitations of a trapped Bose gas. Phys. Rev. Lett. 78, 1842-1845.
22. Ilinski, K. N. & Stepanenko, A. S. 1997 Hydrodynamics of a Bose condensate: beyond the mean field approximation. Preprint, cond-mat/ 9607202.
23. Jin, D. S., Ensher, J. R., Matthews, M. R., Wieman, C. E. & Cornell, E. A. 1996 Collective excitations of a Bose-Einstein condensate in a gas. Phys. Rev. Lett. 77, 420-423.
24. Jin, D. S., Matthews, M. R., Enscher, J. R., Wieman, C. E. & Cornell, E. A. 1997 Temperature-dependent damping and frequency shifts in collective excitations of a dilute Bose-Einstein condensate. Phys. Rev. Lett. 78, 764-767.
25. Ketterle, W. & van Druten, N. J. 1996 Evaporative cooling of trapped atoms. Adv. Atom. Mol. Opt. Phys. 37, 181-236.
26. Kobe, D. H. 1968 Single-particle condensate and pair theory of a homogeneous Boson system. Ann. Phys. 47, 15-39.
27. Lifshitz, E. M. & Pitaevskii, L. P. 1980 Statistical physics part 2, Landau and Lifshitz course of theoretical physics, vol. 9, pp. 98-102. Oxford: Pergamon.
28. Mewes, M.-O., Andrews, M. R., van Druten, N. J., Kurn, D. M., Durfee, D. S., Townsend, C. G. & Ketterle, W. 1996 Collective excitations of a Bose-Einstein condensate in a magnetic trap. Phys. Rev. Lett. 77, 988-991.
29. Nepomnyashchii, Y. A. & Nepoinnyashchii, A. A. 1978 Sov. Phys. JETP 48, 493.
30. Nozières, P. & Pines, P. 1990 The theory of quantum liquids, vol. II, pp. 159-161. Reading, MA: Addison-Wesley.
31. Popov, V. N. 1987 Functional integrals and collective excitations. Cambridge University Press.
32. Proukakis, N. P. &: Burnett, K. 1996a Generalized mean fields for trapped atomic Bose-Einstein condensates. J. Res. Nat. Inst. Stand. Tech. 101, 457-469.
33. Proukakis, N. P. & Burnett, K. 1996b Theory of Bose-Einstein condensed trapped atoms. In OSA trends in optics and photonics (ed. K. Burnett), Ultracold atoms and Bose-Einstein condensation, vol. 7, pp. 14-19. Washington, DC: Optical Society of America.
34. Proukakis, N. P., Burnett, K. & Stoof, H. T. C. 1997 Microscopic treatment of binary interactions in the non-equilibrium dynamics of partially Bose-condensed trapped gases. Phys. Rev. A. (Submitted.)
35. Ruprecht, P. A., Holland, M. J., Burnett, K. & Edwards, M. 1995 Time-dependent solution of the NLSE for Bose-condensed trapped neutral atoms. Phys. Rev. A 51, 4704-4711.
36. Ruprecht, P. A., Edwards, M., Burnett, K. & Clark, C. W. 1996 Probing the linear and nonlinear excitations of Bose-condensed neutral atoms in a trap. Phys. Rev. A 54, 4178-4187.
37. Silvera, I. F. & Walraven, J. T. M. 1980 Stabilization of atomic hydrogen at low temperatures. Phys. Rev. Lett. 44, 164-168.
38. Silvera, I. F. 1995 Spin-polarized hydrogen: prospects for Bose-Einstein condensation and two-dimensional superfluidity. In Bose-Einstein condensation (ed. A. Griffin, D. W. Snoke & S. Stringari), pp. 160-172. Cambridge University Press.
39. Sokol, P. E. 1995 Bose-Einstein condensation in liquid helium. In Bose-Einstein condensation (ed. A. Griffin, D. W. Snoke & S. Stringari), pp. 51-85. Cambridge University Press.
40. Stoof, H. T. C. 1992 Nucleation of Bose-Einstein condensation. Phys. Rev. A 45, 8398-8406.
41. Stoof, H. T. C. 1994 Atomic Bose gas with a negative scattering length. Phys. Rev. A 49, 3824-3830.
42. Stoof, H. T. C., Bijlsma, M. & Houbiers, M. 1996 Theory of interacting quantum gases. J. Res. Nat. Inst. Stand. Tech. 101, 443-455.
43. Stringari, S. 1996 Collective excitations of a trapped Bose-condensed gas. Phys. Rev. Lett. 77, 2360-2363.
44. Tiesinga, E., Moerdijk, A. J., Verhaar, B. J. & Stoof, H. T. C. 1992 Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium. Phys. Rev. A 46, R1167-1170.
45. Tiesinga, E., Williams, C. J., Julienne, P. S., Jones, K. M., Lett, P. D. & Phillips, W. B. 1996 A spectroscopic determination of scattering lengths for sodium atom collisions. J. Res. Nat. Inst. Stand. Tech. 101, 505-520.