Overcritical rotation of a trapped Bose-Einstein condensate

Physical Review Letters

Volumn 86, Issue 3, 2001, Pages 377-380

  Recati, A ^a   Zambelli, F ^b   Stringari, S ^b  

^a SISSA   (Italy)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; HYDRODYNAMICS; LOW TEMPERATURE EFFECTS; OSCILLATIONS; VELOCITY;

INTERATOMIC FORCE; ISOTROPIC TRAPPING; OVERCRITICAL ROTATION; THOMAS-FERMI APPROXIMATION; TRAPPED BOSE-EINSTEIN CONDENSATE;

SUPERCRITICAL FLUIDS;

EID: 0035124218     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.377     Document Type: Article

References (24)

1. H. Lamb, Dynamics (Cambridge University Press, Cambridge, U.K., 1923), 2nd ed., Sec. 33, Chap. IV.
2. G. Genta, Vibration of Structures and Machines (Springer-Verlag, New York, 1999), 3rd ed.
3. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, U.K., 1995).
4. M. R. Matthews et al., Phys. Rev. Lett. 83, 2498 (1999).
5. K. W. Madison et al., Phys. Rev. Lett. 84, 806 (2000).
6. O. M. Maragò et al., Phys. Rev. Lett. 84, 2056 (2000).
7. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
8. F. Dalfovo et al., Rev. Mod. Phys. 71, 463 (1999).
9. This choice, which is associated with a quadrupolar shape of the equilibrium density [see Eq. (4)], corresponds to one of the possible stationary solutions of the equations of motion.
10. L. P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961); E. P. Gross, Nuovo Cimento 20, 454 (1961).
11. L. P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961); E. P. Gross, Nuovo Cimento 20, 454 (1961).
12. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996); E. Lundh et al., Phys. Rev. A 55, 2126 (1997).
13. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996); E. Lundh et al., Phys. Rev. A 55, 2126 (1997).
14. J. J. Garcia-Ripoll and V. M. Perez-Garcia, cond-mat/0003451; F. Zambelli and S. Stringarim cond-mat/0004325.
15. J. J. Garcia-Ripoll and V. M. Perez-Garcia, cond-mat/0003451; F. Zambelli and S. Stringarim cond-mat/0004325.
16. loc(ρ) entering Eq. (2) and holds, in particular, also for a trapped Fermi superfluid.
17. y.
18. Near the end point the conditions of applicability of the Thomas-Fermi approximation are no longer valid and the solution of the problem should be obtained starting from the Gross-Pitaevskii equation.
19. J. Arlt et al., J. Phys. B 32, 5861 (1999).
20. F. Dalfovo et al., Phys. Rev. A 56, 3840 (1997).
21. S. Chandrasekhar, Ellipsoidal Figures at Equilibrium (Yale University Press, New Haven, CT, 1969); P. G. Drazin, Nonlinear Systems (Cambridge University Press, Cambridge, U.K., 1994).
22. S. Chandrasekhar, Ellipsoidal Figures at Equilibrium (Yale University Press, New Haven, CT, 1969); P. G. Drazin, Nonlinear Systems (Cambridge University Press, Cambridge, U.K., 1994).
23. J. Dalibard (private communication).
24. Under these conditions the wave function associated with the overcritical branch is in fact very close to the one with the nonrotating configuration.