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1
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85015719788
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e-print cond-mat/9812159
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The present paper constitutes a substantially amplified version of Y. Liyanda-Geller and P. M. Goldbart, e-print cond-mat/9812159.
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Liyanda-Geller, Y.1
Goldbart, P.M.2
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4
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3543007644
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See, e.g., D. Loss, P. M. Goldbart, and A. V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990); A. Stern, ibid. 68, 1022 (1992); D. Loss, H. Schoeller, and P. M. Goldbart, Phys. Rev. B 48, 15 218 (1993).
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Phys. Rev. Lett.
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Loss, D.1
Goldbart, P.M.2
Balatsky, A.V.3
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5
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3543022609
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See, e.g., D. Loss, P. M. Goldbart, and A. V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990); A. Stern, ibid. 68, 1022 (1992); D. Loss, H. Schoeller, and P. M. Goldbart, Phys. Rev. B 48, 15 218 (1993).
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Phys. Rev. Lett.
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Stern, A.1
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6
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0005301744
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See, e.g., D. Loss, P. M. Goldbart, and A. V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990); A. Stern, ibid. 68, 1022 (1992); D. Loss, H. Schoeller, and P. M. Goldbart, Phys. Rev. B 48, 15 218 (1993).
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Phys. Rev. B
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Loss, D.1
Schoeller, H.2
Goldbart, P.M.3
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0031198837
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Y. J. Uemura, Physica C 282-287, 194 (1997); V. B. Geshkenbein, L. B. Ioffe, and A. I. Larkin, Phys. Rev. B 55, 3173 (1997).
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Physica C
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Uemura, Y.J.1
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0001687977
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Y. J. Uemura, Physica C 282-287, 194 (1997); V. B. Geshkenbein, L. B. Ioffe, and A. I. Larkin, Phys. Rev. B 55, 3173 (1997).
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Phys. Rev. B
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Geshkenbein, V.B.1
Ioffe, L.B.2
Larkin, A.I.3
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12
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0019041752
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The possibility of the superconducting transition as a BEC of preformed bosons has been discussed prior to discovery of high-temperature superconductors by A. J. Leggett, J. Phys. (Paris), Colloq. 41, 19 (1980); and P. Nozieres and S. Schmitt- Rink, J. Low Temp. Phys. 59, 195 (1985).
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J. Phys. (Paris), Colloq.
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Leggett, A.J.1
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13
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0022061752
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The possibility of the superconducting transition as a BEC of preformed bosons has been discussed prior to discovery of high-temperature superconductors by A. J. Leggett, J. Phys. (Paris), Colloq. 41, 19 (1980); and P. Nozieres and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985).
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J. low Temp. Phys.
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Nozieres, P.1
Schmitt-Rink, S.2
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16
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0000812365
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e-print cond-mat/9803231
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T.-L. Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 2595 (1996); see also T.-L. Ho, e-print cond-mat/9803231.
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Ho, T.-L.1
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85015749122
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note
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Recently, certain nonequilibrium properties of BEC in toroidal traps (e.g., the stability and thermal decay of metastable current-carrying states) were considered in [13,14].
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18
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85015805822
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e-print cond-mat/9709212
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D. Rokhsar, e-print cond-mat/9709212.
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Rokhsar, D.1
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23
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85015715360
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note
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Imposing on a BEC system both a radial electric field and a magnetic field leading to hyperfine spin interactions would result in a spin-orbit geometric phase, considered in [5].
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25
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0007041271
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For a discussion of adiabaticity and applicability of the concept of geometric phase, including cases when B is close to zero, see also Y. Lyanda-Geller, Phys. Rev. Lett. 71, 657 (1993).
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Phys. Rev. Lett.
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Lyanda-Geller, Y.1
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26
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85015784635
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note
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→) = 0 in the case of the electromagnetic flux that results in oscillatory phenomena in superconductors with preformed pairs (Sec. VII).
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27
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85015805804
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note
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Although it seems more appropriate to use the canonical (i.e., fixed particle number) ensemble, it is more straightforward to use the grand canonical ensemble, as we have done. We hope that the error incurred is negligible, at least at the particle numbers on which we are focusing.
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28
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0003448505
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McGraw-Hill, San Francisco
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A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, San Francisco, 1971), pp. 248-250; F. Olver, Introduction to Asymptotics and Special Functions (Academic Press, New York, 1973), Sec. 8.
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Quantum Theory of Many-particle Systems
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Fetter, A.L.1
Walecka, J.D.2
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29
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0004074707
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Academic Press, New York, Sec. 8
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A. L. Fetter and J. D. Walecka, Quantum Theory of Many- Particle Systems (McGraw-Hill, San Francisco, 1971), pp. 248-250; F. Olver, Introduction to Asymptotics and Special Functions (Academic Press, New York, 1973), Sec. 8.
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(1973)
Introduction to Asymptotics and Special Functions
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Olver, F.1
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85015784665
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note
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For this illustration we have computed the populations numerically, using Eqs. (3.3a) and (3.3b).
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31
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85015748866
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note
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φ tending to a constant. In this limit, we arrive at a system that, although two dimensional geometrically, does indeed exhibit a thermodynamically sharp BEC, owing to the precise form of the density of states associated with the axial oscillator.
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33
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0033246313
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F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
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Dalfovo, F.1
Giorgini, S.2
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Stringari, S.4
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0000189868
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L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [ Sov. Phys. JETP 13, 451 (1961) ]; E. P. Gross, Nuovo Cimento 20, 454 (1961).
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Zh. Éksp. Teor. Fiz.
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Pitaevskii, L.P.1
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0000196586
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L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [ Sov. Phys. JETP 13, 451 (1961) ]; E. P. Gross, Nuovo Cimento 20, 454 (1961).
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Sov. Phys. JETP
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36
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51249193203
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L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) [ Sov. Phys. JETP 13, 451 (1961) ]; E. P. Gross, Nuovo Cimento 20, 454 (1961).
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Nuovo Cimento
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Gross, E.P.1
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