메뉴 건너뛰기




Volumn 62, Issue 5, 2000, Pages 053605-053601

Finite-temperature collapse of a Bose gas with attractive interactions

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; GAS DYNAMICS; MATHEMATICAL MODELS; PHASE DIAGRAMS; THERMAL EFFECTS;

EID: 0343474679     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.62.053605     Document Type: Article
Times cited : (55)

References (44)
  • 1
    • 0000212595 scopus 로고    scopus 로고
    • C. A. Sackett, H. T. C. Stoof, and R. G. Hulet, Phys. Rev. Lett. 80, 2031 (1998); C. A. Sackett, C. C. Bradley, M. Welling, and R. G. Hulet, Appl. Phys. B: Lasers Opt. 65, 433 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. A 55, 3951 (1997).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2031
    • Sackett, C.A.1    Stoof, H.T.C.2    Hulet, R.G.3
  • 2
    • 0031250855 scopus 로고    scopus 로고
    • C. A. Sackett, H. T. C. Stoof, and R. G. Hulet, Phys. Rev. Lett. 80, 2031 (1998); C. A. Sackett, C. C. Bradley, M. Welling, and R. G. Hulet, Appl. Phys. B: Lasers Opt. 65, 433 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. A 55, 3951 (1997).
    • (1997) Appl. Phys. B: Lasers Opt. , vol.65 , pp. 433
    • Sackett, C.A.1    Bradley, C.C.2    Welling, M.3    Hulet, R.G.4
  • 3
    • 4243580938 scopus 로고    scopus 로고
    • C. A. Sackett, H. T. C. Stoof, and R. G. Hulet, Phys. Rev. Lett. 80, 2031 (1998); C. A. Sackett, C. C. Bradley, M. Welling, and R. G. Hulet, Appl. Phys. B: Lasers Opt. 65, 433 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. A 55, 3951 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 985
    • Bradley, C.C.1    Sackett, C.A.2    Hulet, R.G.3
  • 4
    • 4244056698 scopus 로고    scopus 로고
    • C. A. Sackett, H. T. C. Stoof, and R. G. Hulet, Phys. Rev. Lett. 80, 2031 (1998); C. A. Sackett, C. C. Bradley, M. Welling, and R. G. Hulet, Appl. Phys. B: Lasers Opt. 65, 433 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997); C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. A 55, 3951 (1997).
    • (1997) Phys. Rev. A , vol.55 , pp. 3951
    • Bradley, C.C.1    Sackett, C.A.2    Hulet, R.G.3
  • 8
    • 0344490976 scopus 로고    scopus 로고
    • P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, Phys. Rev. A 51, 4704 (1995); G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 6
    • Baym, G.1    Pethick, C.J.2
  • 9
    • 0032654289 scopus 로고    scopus 로고
    • M. J. Davis, D. A. W. Hutchinson, and E. Zaremba, J. Phys. B 32, 3993 (1999); T. Bergeman, Phys. Rev. A 55, 3658 (1997); M. Houbiers and H. T. C. Stoof, ibid. 54, 5055 (1996); P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, ibid. 51, 4704 (1995).
    • (1999) J. Phys. B , vol.32 , pp. 3993
    • Davis, M.J.1    Hutchinson, D.A.W.2    Zaremba, E.3
  • 10
    • 0000645455 scopus 로고    scopus 로고
    • M. J. Davis, D. A. W. Hutchinson, and E. Zaremba, J. Phys. B 32, 3993 (1999); T. Bergeman, Phys. Rev. A 55, 3658 (1997); M. Houbiers and H. T. C. Stoof, ibid. 54, 5055 (1996); P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, ibid. 51, 4704 (1995).
    • (1997) Phys. Rev. A , vol.55 , pp. 3658
    • Bergeman, T.1
  • 11
    • 0001262378 scopus 로고    scopus 로고
    • M. J. Davis, D. A. W. Hutchinson, and E. Zaremba, J. Phys. B 32, 3993 (1999); T. Bergeman, Phys. Rev. A 55, 3658 (1997); M. Houbiers and H. T. C. Stoof, ibid. 54, 5055 (1996); P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, ibid. 51, 4704 (1995).
    • (1996) Phys. Rev. A , vol.54 , pp. 5055
    • Houbiers, M.1    Stoof, H.T.C.2
  • 12
    • 0000515840 scopus 로고
    • M. J. Davis, D. A. W. Hutchinson, and E. Zaremba, J. Phys. B 32, 3993 (1999); T. Bergeman, Phys. Rev. A 55, 3658 (1997); M. Houbiers and H. T. C. Stoof, ibid. 54, 5055 (1996); P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, ibid. 51, 4704 (1995).
    • (1995) Phys. Rev. A , vol.51 , pp. 4704
    • Ruprecht, P.A.1    Holland, M.J.2    Burnett, K.3    Edwards, M.4
  • 13
    • 0347737984 scopus 로고    scopus 로고
    • The very recent variational calculation of J. Tempere, F. Brosens, L. F. Lemmens, and J. T. Devreese, Phys. Rev. A 61, 043605 (2000), is capable of describing the complete phase diagram, and provides a complementary approach to our own.
    • (2000) Phys. Rev. A , vol.61 , pp. 043605
    • Tempere, J.1    Brosens, F.2    Lemmens, L.F.3    Devreese, J.T.4
  • 14
    • 0343675315 scopus 로고    scopus 로고
    • note
    • Previous theoretical studies [5] focused on the stability of the condensate at very low temperatures and in a regime where the density of noncondensed particles is much smaller than the condensate density. These studies found that the noncondensed particles play a very small role in the collapse. For example, Houbiers et al. concluded that the noncondensed particles are involved in the collapse only in so far as they change the geometry of the effective potential felt by the condensate. In this low temperature regime our results are consistent with these previous works.
  • 15
    • 0343675314 scopus 로고    scopus 로고
    • e-print cond-mat/0006410
    • H. Saito and M. Ueda, e-print cond-mat/0006410; Yu. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. 81, 933 (1998); 79, 2670 (1996); also see the experiments in Refs. [1,2].
    • Saito, H.1    Ueda, M.2
  • 16
  • 17
    • 23544459361 scopus 로고    scopus 로고
    • also see the experiments in Refs. [1,2]
    • H. Saito and M. Ueda, e-print cond-mat/0006410; Yu. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. 81, 933 (1998); 79, 2670 (1996); also see the experiments in Refs. [1,2].
    • (1996) Phys. Rev. Lett. , vol.79 , pp. 2670
  • 18
    • 0001082865 scopus 로고    scopus 로고
    • C. Huepe, S. Métens, G. Dewel, P. Borckmans, and M. E. Brachet, Phys. Rev. Lett. 82, 1616 (1999); M. Ueda and A. J. Leggett, ibid. 80, 1576 (1998); Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 81, 933 (1998); H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 1616
    • Huepe, C.1    Métens, S.2    Dewel, G.3    Borckmans, P.4    Brachet, M.E.5
  • 19
    • 0000212594 scopus 로고    scopus 로고
    • C. Huepe, S. Métens, G. Dewel, P. Borckmans, and M. E. Brachet, Phys. Rev. Lett. 82, 1616 (1999); M. Ueda and A. J. Leggett, ibid. 80, 1576 (1998); Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 81, 933 (1998); H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1576
    • Ueda, M.1    Leggett, A.J.2
  • 20
    • 0000337409 scopus 로고    scopus 로고
    • C. Huepe, S. Métens, G. Dewel, P. Borckmans, and M. E. Brachet, Phys. Rev. Lett. 82, 1616 (1999); M. Ueda and A. J. Leggett, ibid. 80, 1576 (1998); Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 81, 933 (1998); H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 933
    • Kagan, Yu.1    Shlyapnikov, G.V.2    Walraven, J.T.M.3
  • 21
    • 0031160972 scopus 로고    scopus 로고
    • C. Huepe, S. Métens, G. Dewel, P. Borckmans, and M. E. Brachet, Phys. Rev. Lett. 82, 1616 (1999); M. Ueda and A. J. Leggett, ibid. 80, 1576 (1998); Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, ibid. 81, 933 (1998); H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997).
    • (1997) J. Stat. Phys. , vol.87 , pp. 1353
    • Stoof, H.T.C.1
  • 22
    • 0342805083 scopus 로고    scopus 로고
    • private communication
    • B. Mottelson (private communication).
    • Mottelson, B.1
  • 23
    • 0343675309 scopus 로고    scopus 로고
    • note
    • T/4√π. In regimes where the noncondensate fraction is small, our analysis of the system's stability can likewise be continued to T=0.
  • 25
    • 0342370190 scopus 로고    scopus 로고
    • note
    • The traps used are slightly asymmetric, and the frequencies quoted here are the geometric mean of the three frequencies along each principal axis; see Refs. [1,2].
  • 27
    • 0343675306 scopus 로고    scopus 로고
    • note
    • In the theory of liquid-gas phase transitions, the spinodal line is the curve on the phase diagram where ∂P/∂V=0, which represents the edge of the coexistence region, beyond which supercooled vapor cannot exist.
  • 28
    • 0042198639 scopus 로고
    • N.Y.
    • N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
    • (1962) Ann. Phys. , vol.18 , pp. 421
    • Mermin, N.D.1
  • 29
    • 0343239677 scopus 로고
    • N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
    • (1962) Ann. Phys. , vol.18 , pp. 454
  • 30
    • 0042198639 scopus 로고
    • N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
    • (1963) Ann. Phys. , vol.21 , pp. 99
  • 33
    • 33748957360 scopus 로고
    • G. Baym. Phys. Rev. 127, 1391 (1962).
    • (1962) Phys. Rev. , vol.127 , pp. 1391
    • Baym, G.1
  • 34
    • 0343675300 scopus 로고    scopus 로고
    • note
    • -28 we find that τ=200 ms. At T=10 μK. the lifetime is only τ=40 ms.
  • 42
    • 0033908872 scopus 로고    scopus 로고
    • After submission of this manuscript, an excellent theoretical account of this experiment was presented by P. Ao and S. T. Chui [J. Phys. B 33, 535 (2000)], which uses arguments very similar to our own.
    • (2000) J. Phys. B , vol.33 , pp. 535
    • Ao, P.1    Chui, S.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.