Depletion of the dark soliton: The anomalous mode of the Bogoliubov theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 4, 2002, Pages 436201-436206

  Dziarmaga, Jacek ^a,b   Sacha, Krzysztof ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDENSATION; EIGENVALUES AND EIGENFUNCTIONS; SOLITONS;

QUANTUM DEPLETION;

QUANTUM THEORY;

EID: 0036818648     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, and R.G. Hulet, ibid. 78, 985 (1997); for a review see Bose-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," Course 140, edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999).
2. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, and R.G. Hulet, ibid. 78, 985 (1997); for a review see Bose-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," Course 140, edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999).
3. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, and R.G. Hulet, ibid. 78, 985 (1997); for a review see Bose-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," Course 140, edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999).
4. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, and R.G. Hulet, ibid. 78, 985 (1997); for a review see Bose-Einstein Condensation in Atomic Gases, Proceedings of the International School of Physics "Enrico Fermi," Course 140, edited by M. Inguscio, S. Stringari, and C. Wieman (IOS Press, Amsterdam, 1999).
5. Optical Solitons Theory & Experiment, edited by J.K. Taylor (Cambridge University Press, New York, 1992).
6. A.E. Muryshev, H.B. van Linden van den Heuvell, and G.V. Shlyapnikov, Phys. Rev. A 60, R2665 (1999); P.O. Fedichev, A.E. Muryshev, and G.V. Shlyapnikov, ibid. 60, 3220 (1999); A.E. Muryshev, G.V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. 89, 110401 (2002).
7. A.E. Muryshev, H.B. van Linden van den Heuvell, and G.V. Shlyapnikov, Phys. Rev. A 60, R2665 (1999); P.O. Fedichev, A.E. Muryshev, and G.V. Shlyapnikov, ibid. 60, 3220 (1999); A.E. Muryshev, G.V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. 89, 110401 (2002).
8. A.E. Muryshev, H.B. van Linden van den Heuvell, and G.V. Shlyapnikov, Phys. Rev. A 60, R2665 (1999); P.O. Fedichev, A.E. Muryshev, and G.V. Shlyapnikov, ibid. 60, 3220 (1999); A.E. Muryshev, G.V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. 89, 110401 (2002).
9. Th. Busch and J.R. Anglin, Phys. Rev. Lett. 84, 2298 (2000).
10. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999).
11. J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, and W.D. Phillips, Science 287, 97 (2000).
12. J. Dziarmaga, Z.P. Karkuszewski, and K. Sacha, Phys. Rev. A 66, 043615 (2002).
13. C.K. Law, P.T. Leung, and M.C. Chu, e-print cond-mat/0110428.
14. L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)]; E.P. Gross, Nuovo Cimento 20, 454 (1961); F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
15. L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)]; E.P. Gross, Nuovo Cimento 20, 454 (1961); F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
16. L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)]; E.P. Gross, Nuovo Cimento 20, 454 (1961); F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
17. L.P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)]; E.P. Gross, Nuovo Cimento 20, 454 (1961); F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
18. Y. Castin and R. Dum, Phys. Rev. A 57, 3008 (1998); Y. Castin, in Proceedings of the Coherent Atomic Matter Waves 1999, Les Houches Session 72, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin, 2001).
19. Y. Castin and R. Dum, Phys. Rev. A 57, 3008 (1998); Y. Castin, in Proceedings of the Coherent Atomic Matter Waves 1999, Les Houches Session 72, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin, 2001).
20. x, and S is an average transverse area calculated within the Thomas-Fermi approximation.
21. M.A.H. Ahsan et al., Phys. Rev. A 64, 013608 (2001).
22. K.W. Madison et al., Phys. Rev. Lett. 84, 806 (2000).