Landau dynamics of a grey soliton in a trapped condensate

Physical Review Letters

Volumn 93, Issue 24, 2004, Pages

  Konotop, Vladimir V ^a   Pitaevskii, Lev ^b,c  

^a UNIVERSITY OF LISBON   (Portugal)

^b UNIVERSITY OF TRENTO   (Italy)

^c KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; COUPLING CONSTANT; LANDAU DYNAMICS; VORTEX RING;

BOUNDARY CONDITIONS; CONDENSATION; DEFORMATION; DYNAMICS; HAMILTONIANS; OSCILLATIONS; PERTURBATION TECHNIQUES;

SOLITONS;

EID: 42749105675     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.240403     Document Type: Article

References (14)

1. M. R. Andrews et al., Phys. Rev. Lett. 79, 553 (1997); S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000).
2. M. R. Andrews et al., Phys. Rev. Lett. 79, 553 (1997); S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000).
3. M. R. Andrews et al., Phys. Rev. Lett. 79, 553 (1997); S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999); J. Denschlag et al., Science 287, 97 (2000).
4. Th. Busch and J. R. Anglin, Phys. Rev. Lett. 84, 2298 (2000).
5. V. A. Brazhnyi and V. V. Konotop, Phys. Rev. A 68, 043613 (2003).
6. V. V. Konotop and V. E. Vekslerchik, Phys. Rev. E 49, 2397 (1994).
7. 2⊥), where a is the scattering length [see, e.g., V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A 57, 3837 (1998)].
8. T. Tsuzuki, J. Low Temp. Phys. 4, 441 (1971).
9. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
10. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
11. Taking into account that the energy ε decreases when υ increases, it is more correct to say that the soliton moves as a particle of mass (-2m) in the potential [-U(x)].
12. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 (Pergamon Press, Oxford, 1986).
13. Energy conservation during the motion of the ring in 3D traps is discussed by B. Jackson, J. F. McCann, and C. S. Adams, Phys. Rev. A 61, 013604 (1999).
14. C. A. Jones and P. H. Roberts, J. Phys. A 15, 2599 (1982). According to this paper, the radius of the ring decreases with increasing v. At v = 0.88c the radius becomes zero and at 0.88c < v < 0.93c the excitation is actually a kind of a soliton.