@article{SEDP_2004-2005____A17_0, author = {Aftalion, Amandine}, title = {Vortex dans les condensats de {Bose} {Einstein}}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:17}, pages = {1--17}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2004-2005}, mrnumber = {2182061}, language = {fr}, url = {http://www.numdam.org/item/SEDP_2004-2005____A17_0/} }
TY - JOUR AU - Aftalion, Amandine TI - Vortex dans les condensats de Bose Einstein JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:17 PY - 2004-2005 SP - 1 EP - 17 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2004-2005____A17_0/ LA - fr ID - SEDP_2004-2005____A17_0 ER -
%0 Journal Article %A Aftalion, Amandine %T Vortex dans les condensats de Bose Einstein %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:17 %D 2004-2005 %P 1-17 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2004-2005____A17_0/ %G fr %F SEDP_2004-2005____A17_0
Aftalion, Amandine. Vortex dans les condensats de Bose Einstein. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2004-2005), Exposé no. 17, 17 p. http://www.numdam.org/item/SEDP_2004-2005____A17_0/
[1] Abo-Shaeer JR, Raman C,Vogels JM, Ketterle W, Observation of Vortex Lattices in Bose-Einstein Condensates (2001) Science 292, 476-479.
[2] Aftalion A, Properties of vortices in Bose Einstein condensates, C.R. Physique, 5, (2004), 9-20.
[3] Aftalion A, Vortices in Bose Einstein condensates, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser Boston, Inc., Boston, MA, en préparation. | MR | Zbl
[4] Aftalion A, Alama S, Bronsard L, Giant vortex and the breakdown of strong pinning in a rotating Bose–Einstein condensate, à paraître dans Archive for Rational Mechanics and Analysis. | Zbl
[5] Aftalion A, Blanc X, Existence of vortex free solutions in the Painlevé boundary layer of a Bose Einstein condensate, (2004) J. Math. Pures Appl. 83 765-801. | MR | Zbl
[6] Aftalion A, Blanc X, Vortex lattices in rotating Bose Einstein condensates, (2005), preprint. | MR | Zbl
[7] Aftalion A, Blanc X, Dalibard J, Vortex patterns in a fast rotating Bose-Einstein condensate, (2005) Phys. Rev. A 71 023611.
[8] Aftalion A, Danaila I, Three Dimensional vortex configurations in a rotating Bose Einstein condensate. (2003) Phys. Rev. A. 68 023603.
[9] Aftalion A, Du Q, Pomeau Y, Dissipative flow and vortex shedding in the Painlevé boundary layer of a Bose Einstein condensate. (2003) Phys. Rev. Lett. 91 090407
[10] Aftalion A, Jerrard RL, Shape of vortices for a rotating Bose-Einstein condensate (2002) Phys. Rev. A 66 023611.
[11] Aftalion A, Jerrard RL, Properties of a single vortex solution in a rotating Bose Einstein condensate, (2003) C.R. Acad. Sci. Paris, Ser.I, 336. | MR | Zbl
[12] Aftalion A, Riviere T, Vortex energy and vortex bending for a rotating Bose-Einstein condensate, (2001) Phys. Rev. A 64, 043611.
[13] Allaire G, Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 1482-1518 (1992). | MR | Zbl
[14] Bethuel F, Brezis H, Helein F (1994) Ginzburg-Landau vortices, Progress in Nonlinear Differential Equations and their Applications, 13. Birkhäuser Boston, Inc., Boston, MA. | MR | Zbl
[15] Butts D, Rokhsar R, Predicted signatures of rotating Bose -Einstein condensates, (1999) Nature 397, 327.
[16] Bretin V, Stock S, Seurin Y, Dalibard J, Fast Rotation of a Bose-Einstein Condensate Phys. Rev. Lett. 92, 050403 (2004).
[17] Coddington et al, Experimental studies of equilibrium vortex properties in a Bose-condensed gas, cond-mat/0405240.
[18] Cohen-Tannoudji CN, in : Les Prix Nobel 1997 (The Nobel Foundation, Stockholm, 1998), pp. 87-108, Reprinted in : Rev. Mod. Phys. 70 :707-719.
[19] Cooper NR, Komineas S, Read N,Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates, Phys. Rev. A 70, 033604 (2004).
[20] Cooper NR, Wilkin NK, Gunn JMF, Quantum Phases of Vortices in Rotating Bose-Einstein Condensates, Phys. Rev. Lett. 87, 120405 (2001).
[21] Cornell EA, Wieman CE, Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments, in : Les Prix Nobel 2001 (The Nobel Foundation, Stockholm, 2002), pp. 87-108, Reprinted in : Rev. Mod. Phys. 74, 875-893 ; Cem. Phys. Cem. 3, 476-493 (2002)
[22] Donnelly RJ, Quantized Vortices in Helium II, (Cambridge, 1991), Chaps. 4 and 5.
[23] Ho TL, Bose-Einstein Condensates with Large Number of Vortices, Phys. Rev. Lett. 87 060403 (2001).
[24] Ignat R, Millot V, Energy expansion and vortex location for a two dimensional rotating Bose-Einstein condensate (2005) preprint. | MR | Zbl
[25] Jerrard RL, More about Bose-Einstein condensates (2004) preprint.
[26] Ketterle W, When atoms behave as waves : Bose-Einstein condensation and the atom laser, in : Les Prix Nobel 2001 (The Nobel Foundation, Stockholm, 2002), pp. 118-154, Reprinted in : Rev. Mod. Phys. 74, 1131-1151 (2002) ; Chem. Phys. Chem. 3, 736-753 (2002)
[27] Kleiner WH, Roth LM, Autler SH, Bulk Solution of Ginzburg-Landau Equations for Type II Superconductors : Upper Critical Field Region, Phys. Rev. 133, A1226, (1964). | Zbl
[28] Lassoued L, Mironescu P, Ginzburg-Landau type energy with discontinuous constraint (1999) J. d’Analyse, 77, 1-26. | Zbl
[29] Lieb E, Seiringer R, Yngvason J, Bosons in a trap : A rigorous derivation of the Gross-Pitaevskii energy functional (2000) Phys. Rev. A 61, 0436021.
[30] Lu K, Pan XB, Gauge invariant eigenvalue problems in and in . Trans. Amer. Math. Soc. 352 (2000), no. 3, 1247–1276. | MR | Zbl
[31] Madison K, Chevy F, Bretin V, Dalibard J, Vortex Formation in a Stirred Bose-Einstein Condensate, (2000) Phys. Rev. Lett., 84, 806.
[32] Pethick CJ, Smith H, (2002) Bose Einstein condensation in dilute gases, Cambridge University Press.
[33] Pitaevskii L, Stringari S, (2003) Bose Einstein condensation, International series of monographs on physics, 116, Oxford Science Publications. | MR | Zbl
[34] Raman C, Abo-Shaeer JR, Vogels JM, Xu K, Ketterle W, Vortex Nucleation in a Stirred Bose-Einstein Condensate (2001) Phys. Rev. Lett. 87, 210402.
[35] Riviere T, Line vortices in the -Higgs Model (1996) COCV 1 77. | Numdam | MR | Zbl
[36] Rosenbuch P, Bretin V, Dalibard J, Dynamics of a single vortex line in a Bose-Einstein condensate (2002) Phys. Rev. Lett. 89, 200403.
[37] Sandier E, Serfaty S, Magnetic Ginzburg-Landau vortices, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser Boston, Inc., Boston, MA, à paraître. | Zbl
[38] Schweikhard V, Coddington I, Engels P, Mogendorff VP, and Cornell EA, Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level, Phys. Rev. Lett. 92, 040404 (2004).
[39] Sheehy DE, Radzihovsky L, Vortices in Spatially Inhomogeneous Superfluids, (2004) cond-mat/0406205.
[40] Sinova J, Hanna CB, MacDonald AH, Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter, Phys. Rev. Lett. 89, 030403 (2002).
[41] Stock S, Bretin V, Chevy F, Dalibard J, Shape oscillation of a rotating Bose-Einstein condensate, Europhys.Lett. 65 594 (2004).
[42] Watanabe G, Baym G, Pethick CJ, Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates, Phys. Rev. Lett. 93, 190401 (2004).