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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.
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Phys. Rev. A
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Tempere, J.1
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14
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0343675315
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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.
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15
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0343675314
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e-print cond-mat/0006410
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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].
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Saito, H.1
Ueda, M.2
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16
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0000337409
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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].
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Phys. Rev. Lett.
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Kagan, Yu.1
Muryshev, A.E.2
Shlyapnikov, G.V.3
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17
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23544459361
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also see the experiments in Refs. [1,2]
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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].
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18
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0001082865
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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).
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Phys. Rev. Lett.
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19
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0000212594
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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).
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Ueda, M.1
Leggett, A.J.2
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0000337409
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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).
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Phys. Rev. Lett.
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Kagan, Yu.1
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Walraven, J.T.M.3
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21
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0031160972
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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).
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J. Stat. Phys.
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Stoof, H.T.C.1
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0342805083
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private communication
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B. Mottelson (private communication).
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Mottelson, B.1
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23
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0343675309
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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.
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-
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25
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0342370190
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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].
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-
-
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27
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0343675306
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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.
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-
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28
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0042198639
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N.Y.
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N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
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Ann. Phys.
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Mermin, N.D.1
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0343239677
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N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
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Ann. Phys.
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30
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0042198639
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N. D. Mermin, Ann. Phys. (N.Y.) 18, 421 (1962); 18, 454 (1962); 21, 99 (1963).
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33
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Baym, G.1
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34
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0343675300
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note
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-28 we find that τ=200 ms. At T=10 μK. the lifetime is only τ=40 ms.
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35
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0000251650
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A. J. Moerdijk, H. M. J. M. Boesten, and B. J. Verhaar, Phys. Rev. A 53, 916 (1996); C. A. Sackett, J. M. Gerton, M. Welling, and R. G. Hulet, Phys. Rev. Lett. 82, 876 (1999).
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Moerdijk, A.J.1
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0001675452
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A. J. Moerdijk, H. M. J. M. Boesten, and B. J. Verhaar, Phys. Rev. A 53, 916 (1996); C. A. Sackett, J. M. Gerton, M. Welling, and R. G. Hulet, Phys. Rev. Lett. 82, 876 (1999).
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Sackett, C.A.1
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Hulet, R.G.4
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40
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0001082866
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H.-J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999).
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Ketterle, W.6
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42
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0033908872
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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.
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J. Phys. B
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Ao, P.1
Chui, S.T.2
|