Gross-Pitaevskii theory of the rotating Bose gas

Communications in Mathematical Physics

Volumn 229, Issue 3, 2002, Pages 491-509

  Seiringer, Robert ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036768595     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0695-2     Document Type: Article

References (16)

1. Madison, K.W., Chevy, F., Wohlleben, W., Dalibard, J.: Vortex formation in a stirred Bose-Einstein condensate. Phys. Rev. Lett. 84, 806-809 (2000)
2. Abo-Shaeer, J.R., Raman, C., Vogels, J.M., Ketterle, W.: Observation of vortex lattices in Bose-Einstein condensates. Science 292, 476-479 (2001)
3. Fetter, A.L., Svidzinsky, A.A.: Vortices in a trapped dilute Bose-Einstein condensate. J. Phys.: Condens. Matter 13, R135-R194 (2001)
4. Lieb, E.H., Seiringer, R., Yngvason, J.: Bosons in a Trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Phys. Rev. A 61, 043602-1-13 (2000)
5. Lieb, E.H., Seiringer, R., Yngvason, J.: A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Commun. Math. Phys. 224, 17-31 (2001)
6. Lieb, E.H., Seiringer, R.: Proof of Bose-Einstein condensation for dilute trapped gases. Phys. Rev. Lett. 88, 170409-1-4 (2002)
7. Lieb, E.H., Loss, M.: Analysis, 2nd ed., Providence, RI: AMS, 2001
8. Hagan, P.S.: Spiral waves in reaction-diffusion equations. SIAM J. Appl. Math. 42, 762-786 (1982)
9. Mironescu, P.: On the stability of radial solutions of the Ginzburg-Landau equation. J. Funct. Anal. 130, 334-344 (1995)
10. Butts, D.A., Rokhsar, D.S.: Predicted signatures of rotating Bose-Einstein condensates. Nature 397, 327-329 (1999)
11. Castin, Y., Dum, R.: Bose-Einstein condensates with vortices in rotating traps. Eur. Phys. J. D 7, 399-412 (1999)
12. Bethuel, F., Brezis, H., Hélein, F.: Ginzburg-Landau Vortices, Progress in Nonlinear Differential Equations and Their Applications. Vol. 13, Basel-Boston: Birkhäuser, 1994
13. Serfaty, S.: On a model of rotating superfluids. ESAIM, Control Optim. Calc. Var. 6, 201-238 (2001)
14. Aftalion, A., Du, Q.: Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime. Phys. Rev. A 64, 063603-1-11 (2001)
15. Baumgartner, B., Seiringer, R.: Atoms with Bosonic "Electrons" in strong magnetic fields. Ann. Henri Poincaré 2, 41-76 (2001)
16. García-Ripoll, J.J., Pérez-García, V.M.: Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis. Phys. Rev. A 60, 4864-4874 (1999)