Effective potentials for dilute Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 1, 1998, Pages 584-597

  Bohn, John L ^a   Esry, B D ^a   Greene, Chris H ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001202394     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.584     Document Type: Article

References (82)

1. J. G. Bednorz and K. A. Müller, Z. Phys. B 64, 189 (1986); ZPCMDN
2. H. S. Takagi, S. Uchida, K. Kitazawa, and S. Tanaka, Jpn. J. Appl. Phys., Part 2 26, L123 (1987); JAPLD8
3. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).RMPHAT
4. P. J. Twin et al, Phys. Rev. Lett. 57, 811 (1986); PRLTAO
5. R. V. F. Janssens and T. L. Khoo, Annu. Rev. Nucl. Part. Sci. 41, 321 (1991).ARPSDF
6. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); SCIEAS
7. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); PRLTAO
8. Phys. Rev. Lett.K. B. Davis et al, 75, 3969 (1995).
9. V. L. Ginzburg and L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 34, 1240 (1958) [Sov. Phys. JETP 7, 858 (1958)]; SPHJAR
10. E. P. Gross, J. Math. Phys. 4, 195 (1963).JMAPAQ
11. M. Edwards and K. Burnett, Phys. Rev. A 51, 1382 (1995).PLRAAN
12. P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, Phys. Rev. A 51, 4704 (1995).PLRAAN
13. R. J. Dodd, M. Edwards, C. J. Williams, C. W. Clark, M. J. Holland, P. A. Ruprecht, and K. Burnett, Phys. Rev. A 54, 661 (1996).PLRAAN
14. G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).PRLTAO
15. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).PLRAAN
16. Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 76, 2670 (1996).PRLTAO
17. B. D. Esry, Phys. Rev. A 55, 1147 (1997).PLRAAN
18. M. Marinescu and A. F. Starace, Phys. Rev. A 56, 570 (1997).PLRAAN
19. M.-O. Mewes et al, Phys. Rev. Lett. 77, 416 (1996); PRLTAO
20. M. Holland, D. S. Jin, M. L. Chiofalo, and J. Cooper, Phys. Rev. Lett. 78, 3801 (1997).PRLTAO
21. D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 420 (1996); PRLTAO
22. Phys. Rev. Lett.M.-O. Mewes et al, 77, 988 (1996).
23. M. R. Andrews et al, Science 275, 637 (1997); SCIEAS
24. A. Röhrl, M. Naraschewski, A. Schenzle, and H. Wallis, Phys. Rev. Lett. 78, 4143 (1997).PRLTAO
25. D. S. Jin, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 78, 764 (1997); PRLTAOR. J. Dodd et al(unpublished).
26. P. Nozières and D. Pines, The Theory of Quantum Liquids, Vol. II (Addison-Wesley, Redwood City, CA 1990).
27. E. V. Shuryak, Phys. Rev. A 54, 3151 (1996).PLRAAN
28. M. Houbiers and H. T. C. Stoof, Phys. Rev. A 54, 5055 (1996).PLRAAN
29. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997).PRLTAO
30. H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997).JSTPBS
31. V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. A 56, 1424 (1997).PLRAAN
32. A. L. Fetter, J. Low Temp. Phys. 106, 643 (1997).JLTPAC
33. M. Ueda and A. J. Leggett, Phys. Rev. Lett. 80, 1576 (1998).PRLTAO
34. L. M. Delves, Nucl. Phys. 9, 391 (1959); NUPHA7
35. Nucl. Phys.L. M. Delves20, 268 (1962).
36. J. L. Ballot and M. Fabre de la Ripelle, Ann. Phys. (N.Y.) 127, 62 (1980); APNYA6
37. M. V. Zhukov et al, Phys. Rep. 231, 151 (1993).PRPLCM
38. J. H. Macek, J. Phys. B 1, 831 (1968); JPAMA4
39. U. Fano, Rep. Prog. Phys. 46, 97 (1983); RPPHAG
40. C. D. Lin, Phys. Rep. 257, 1 (1995); PRPLCM
41. J. L. Bohn, Phys. Rev. A 51, 1110 (1995).PLRAAN
42. F. T. Smith, J. Chem. Phys. 31, 1352 (1959); JCPSA6
43. F. T. SmithPhys. Rev. 120, 1058 (1960).
44. V. Aquilanti, S. Cavalli, and G. Grossi, J. Chem. Phys. 85, 1362 (1986); JCPSA6
45. J. Chem. Phys.J. Lindberg et al, 90, 6254 (1989);
46. J. Chem. Phys.R. T. Pack and G. A. Parker, 87, 3888 (1987);
47. J. M. Launay and M. LeDourneuf, Chem. Phys. Lett. 169, 473 (1990).CHPLBC
48. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953).
49. Y. F. Smirnov and K. V. Shitikova, Fiz. Elem. Chastits. At. Yadra. 8, 847 (1977) [Sov. J. Part. Nucl. 8, 344 (1977)].SJPNA3
50. J. Avery, Hyperspherical Harmonics: Applications in Quantum Theory (Kluwer, Dordrecht, 1989).
51. U. Fano, D. Green, J. L. Bohn, and T. Heim (unpublished).
52. N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions, 3rd ed. (Clarendon, Oxford, 1965), p. 777.
53. A. Omont, J. Phys. (Paris) 38, 1343 (1977).JOPQAG
54. N. Y. Du and C. H. Greene, Phys. Rev. A 36, 971 (1987); PLRAAN
55. Phys. Rev. AN. Y. DuC. H. Greene36, 5467(E) (1987).
56. N. P. Proukakis, K. Burnett, and H. T. C. Stoof, Phys. Rev. A 57, 1230 (1998), PLRAAN
57. N. P. ProukakisK. BurnettH. T. C. Stoofe-print cond-mat/9703199.
58. M. Vallières, T. Das, and H. T. Coelho, Nucl. Phys. A 257, 389 (1976).NUPABL
59. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).PRLTAO
60. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996).PRLTAO
61. M. Fliesser, A. Csordás, P. Szépfalusy, and R. Graham, Phys. Rev. A 56, R2533 (1997).PLRAAN
62. P. Öhberg, E. L. Surkov, I. Tittonen, S. Stenholm, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A 56, R3346 (1997).PLRAAN
63. B. D. Esry, C. H. Greene, Y. Zhou, and C. D. Lin, J. Phys. B 29, L51 (1996).JPAPEH
64. B. D. Esry and C. H. Greene (unpublished).
65. E. R. I. Abraham, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 74, 1315 (1995); PRLTAO
66. E. R. I Abraham, N. W. M. Ritchie, W. I. McAlexander, and R. G. Hulet, J. Chem. Phys. 103, 7773 (1995).JCPSA6
67. D. Zwillinger, CRC Standard Mathematical Tables and Formulae, 30th ed. (Boca Raton, CRC Press, 1996), p. 83.
68. Handbook of Applicable Mathematics, edited by W. Ledermann and S. Vasda (Wiley, New York, 1980), pp. 436–439.
69. A. J. Moerdijk, H. M. J. M. Boesten, and B. J. Verhaar, Phys. Rev. A 53, 916 (1996).PLRAAN
70. E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A 47, 4114 (1993).PLRAAN
71. P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 77, 2913 (1996).PRLTAO
72. J. L. Bohn and P. S. Julienne, Phys. Rev. A 56, 1486 (1997).PLRAAN
73. H.-J. Miesner, D. M. Stamper-Kurn, M. R. Andrews, D. S. Durfee, S. Inouye, and W. Ketterle, Science 279, 1005 (1998).SCIEAS
74. A. Hooker (unpublished).
75. B. D. Esry, C. H. Greene, J. P. Burke, Jr., and J. L. Bohn, Phys. Rev. Lett. 78, 3594 (1997).PRLTAO
76. C. K. Law, H. Pu, N. P. Bigelow, and J. H. Eberly, Phys. Rev. Lett. 79, 3105 (1997); PRLTAO
77. Phys. Rev. Lett.H. Pu and N. P. Bigelow, 80, 1130 (1998);
78. Phys. Rev. Lett.H. PuN. P. Bigelow80, 1134 (1998).
79. M. Cavagnero, Phys. Rev. A 30, 1169 (1984); PLRAAN
80. Phys. Rev. AM. Cavagnero33, 2877 (1986);
81. Phys. Rev. AM. Cavagnero36, 523 (1987).
82. A. Jeffrey, Handbook of Mathematical Formulas and Integrals (Academic, San Diego, 1995), p. 31.