[Propriétés d'une solution à un vortex pour un condensat de Bose Einstein en rotation]
In this Note, we study the properties of the line energy for a vortex γ in a Bose Einstein condensate rotating at velocity
Dans cette Note, nous étudions les propriétés de l'énergie de ligne pour un vortex γ dans un condensat de Bose Einstein en rotation à la vitesse
Accepté le :
Publié le :
Amandine Aftalion 1 ; Robert L. Jerrard 2
@article{CRMATH_2003__336_9_713_0, author = {Amandine Aftalion and Robert L. Jerrard}, title = {Properties of a single vortex solution in a rotating {Bose} {Einstein} condensate}, journal = {Comptes Rendus. Math\'ematique}, pages = {713--718}, publisher = {Elsevier}, volume = {336}, number = {9}, year = {2003}, doi = {10.1016/S1631-073X(03)00166-3}, language = {en}, }
TY - JOUR AU - Amandine Aftalion AU - Robert L. Jerrard TI - Properties of a single vortex solution in a rotating Bose Einstein condensate JO - Comptes Rendus. Mathématique PY - 2003 SP - 713 EP - 718 VL - 336 IS - 9 PB - Elsevier DO - 10.1016/S1631-073X(03)00166-3 LA - en ID - CRMATH_2003__336_9_713_0 ER -
Amandine Aftalion; Robert L. Jerrard. Properties of a single vortex solution in a rotating Bose Einstein condensate. Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 713-718. doi : 10.1016/S1631-073X(03)00166-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00166-3/
[1] Observation of vortex lattices in Bose–Einstein condensates, Science, Volume 292 (2001), p. 476
[2] Shape of vortices for a rotating Bose–Einstein condensate, Phys. Rev. A, Volume 66 (2002), p. 023611
[3] Vortex energy and vortex bending for a rotating Bose–Einstein condensate, Phys. Rev. A, Volume 64 (2001), p. 043611
[4] Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Boston, 1984
[5] R.L. Jerrard, in preparation
[6] Vortex formation in a stirred Bose–Einstein condensate, Phys. Rev. Lett., Volume 84 (2000), pp. 806-809
[7] Vortex lattices in a stirred Bose–Einstein condensate, J. Mod. Opt., Volume 47 (2000), p. 2715
[8] Vortex nucleation in a stirred Bose–Einstein condensate, Phys. Rev. Lett., Volume 87 (2001), p. 210402
[9] Dynamics of a single vortex line in a Bose–Einstein condensate, Phys. Rev. Lett., Volume 89 (2002), p. 200403
- Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem, Proceedings of the London Mathematical Society. Third Series, Volume 126 (2023) no. 3, pp. 1015-1062 | DOI:10.1112/plms.12505 | Zbl:1542.35368
- Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, Volume 25 (2008) no. 2, pp. 339-355 | DOI:10.1016/j.anihpc.2006.11.011 | Zbl:1202.82010
- Vortices for a rotating toroidal Bose-Einstein condensate, Archive for Rational Mechanics and Analysis, Volume 187 (2008) no. 3, pp. 481-522 | DOI:10.1007/s00205-007-0077-1 | Zbl:1139.82002
- Local minimizers with vortex filaments for a Gross-Pitaevsky functional, European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations, Volume 13 (2007) no. 1, pp. 35-71 | DOI:10.1051/cocv:2007004 | Zbl:1111.35077
- On the Ginzburg-Landau model of a superconducting ball in a uniform field, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, Volume 23 (2006) no. 2, pp. 237-267 | DOI:10.1016/j.anihpc.2005.03.004 | Zbl:1293.58006
- Vortex Lattices in Rotating Bose–Einstein Condensates, SIAM Journal on Mathematical Analysis, Volume 38 (2006) no. 3, p. 874 | DOI:10.1137/050632889
Cité par 6 documents. Sources : Crossref, zbMATH
Commentaires - Politique