Tomographic-probability description of solitons in Bose-Einstein condensates

European Physical Journal B

Volumn 36, Issue 3, 2003, Pages 385-390

  De Nicola, S ^a   Fedele, R ^b   Man'ko, M A ^c   Man'ko, V I ^c  

^a CNR   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITORS; FUNCTIONS; PROBABILITY DISTRIBUTIONS; TOMOGRAPHY; WAVE EFFECTS;

BOSE-EINSTEIN CONDENSATE; GROSS-PITAEVSKII EQUATION; SOLITON SOLUTION; TOMOGRAPHIC-PROBABILITY DESCRIPTION;

SOLITONS;

EID: 3543035507     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2003-00357-2     Document Type: Article

References (46)

1. S. De Nicola, R. Fedele, M.A. Man'ko and V.I. Man'ko, J. Opt. B: Quantum and Semiclass. Opt. 5, 95 (2003);
2. "Wigner picture and tomographic representaion of envelope saluons", Proc. of the International Workshop "Nonlinear Physics: Theory and Experiment II (Gallipoli, Lecce, Italy, 27 June - 6 July 2002), edited by M. Ablowitz, M. Boiti, F. Pempinelli, B. Prinari (World Scientific, Singapore, 2003), p. 372
3. S. Mancini, V.I. Man'ko, P. Tombesi, Quantum Semiclass. Opt. 7, 615 (1995)
4. E.P. Gross, Nuovo Cim. 20, 454 (1961)
5. L.P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961)
6. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringary, Rev. Mod. Phys. 71, 463 (1989)
7. Ph. Noziéres, D. Pines, The Theory of Quantum Liquids (Reading MA: Addison-Wesley, 1990), Vol. 11
8. S. Mancini, V.I. Man'ko, P. Tombesi, Phys. Lett. A 213, 1 (1996);
9. Found. Phys. 27, 801 (1997)
10. J. Von Neumann, Mathematische Grundlagen der Quantummechanik (Springer, Berlin, 1932)
11. M.H. Anderson, J.R. Ensher, M.R. Matthews, G.E. Wieman, E.A. Cornell, Science 269, 198 (1995)
12. K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 95, 3969 (1995)
13. C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1997)
14. C.C. Bradley, C.A. Sackett, R.G. Hulet, Phys. Rev. Lett. 78, 985, (1995)
15. C.A. Sackett, C.C. Bradley, M. Welling, R.G. Hulet, Appl Phys. B: Lasers Opt. 65, 433 (1997)
16. J.M. Gerton, D. Strekalov, I. Prodan, R.G. Hulet, Nature (London) 408, 692 (2000)
17. W. Hai, Ch. Lee, G. Chong, Propagation, breathing and transition of mattar-wave packet trains, arXiv:quant-ph/0301112v1 (2003)
18. V.Y.F. Leung, A.G. Truscott, K.G.H. Baldwin, Phys. Rev. A 66, 061602 (2002)
19. L.D. Carr, Y. Castin, Phys. Rev. A 66, 063602 (2002)
20. D.L. Feder, M.S. Pindzola, L.A. Collins, B.I. Schneider, C.W. Clark, Phys. Rev. A 62, 053606 (2002)
21. A. Muryshev, G.V. Shlyapnikov, W. Ertmer, K. Sengstock, M. Lewenstein, Phys. Rev. Lett. 89, 110401 (2002)
22. J. Dziarmaga, Z.P. Karkuszewski, K. Sacha, Images of the dark soliton in a depleted condensate, arXiv:cond-mat/0212492v2 (2003)
23. V.A. Brazhnyi, A.M. Kamchatnov, V.V. Konotop, On creation and evolution of dark solitons in Bose-Einstein condensate arXiv:quant-ph/0301319v1 (2003)
24. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, Phys. Rev. Lett. 83, 5198 (1999)
25. V.V. Dodonov, S. Mizrahi, Ann. Phys. NY 237, 226 (1995)
26. E.P. Wigner, Phys. Rev. 40, 749 (1932);
27. Perspectives in Quantum Theory, edited by W. Yourgrau, A. van der Merwe (New York, Dover, 1979)
28. J.E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949)
29. R. Fedele, D. Anderson D, J. Opt. B: Quantum Semiclass. Opt. 2, 207 (2000)
30. R. Fedele, D. Anderson, M. Lisak Physica Scripta T 84, 27 (2000);
31. R. Fedele, S. De Nicola, V.G. Vaccaro, D. Anderson, M. Lisak, "Landau Damping in Nonlinear Schrödinger Equations", Proc. of the 18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspect of Beam Physics, Capri, 15-20 October 2000, edited by P. Chen (World Scientific, Singapore, 2002), p. 483
32. I.E. Alber, Proc. Royal Soc. London A 636, 525 (1978);
33. D.R. Crawford, P.G. Saffman, H.C. Yuen, Wave Motion 2, 1 (1980);
34. P.A.E.M. Janssen, Fluid Mech. 133, 113 (1983);
35. P.A.E.M. Janssen, in The Ocean Surface, edited by Y. Toba, H. Mitsuyasu, 39 (1985);
36. M. Onorato, A. Osborne, R. Fedele, M. Serio, Phys. Rev. E 67, 046305 (2003)
37. B. Hall, M. Lisak, D. Anderson, R. Fedele, V.E. Semenov, Phys. Rev. E 65, 035602(R) (2002);
38. L. Helczynski, D. Anderson, R. Fedele, B. Hall, M. Lisk, IEEE J. Selected Topics Quantum Electronics 8, 408 (2002);
39. M. Lisait, B. Hall, D. Anderson, R. Fedele, V.E. Semenov, P.K. Shukla, A. Hasegawa, Physica Scripta T 98, 12 (2002)
40. R. Fedele, P.K. Shukla, M. Onorato, D. Anderson, M. Lisak, Phys. Lett. A 303, 61 (2002)
41. V.I. Man'ko, R.V. Mendes, Phys. Lett. A 263, 53 (1999)
42. V.I. Man'ko, R.V. Mendes, Physica D 145, 330 (2000)
43. O.V. Man'ko, V.I. Man'ko, J. Russ. Laser Res. 18, 411 (1997)
44. Z.P. Karkuszewski, K. Sacha, J. Zakrzewski, Phys. Rev. A 63, 061601(R) (2001)
45. L. Khaykovich, F. Schreck, G. Ferrari et al., Science 290, 1290 (2003)
46. P.O. Fedichev, A.E. Muryshev, G.V. Shlyapnikov, Phys. Rev. A 60, 3220 (1999)