Evidence for an oscillating soliton/vortex ring by density engineering of a Bose-Einstein condensate

Nature Physics

Volumn 5, Issue 3, 2009, Pages 193-197

  Shomroni, I ^a   Lahoud, E ^a   Levy, S ^a   Steinhauer, J ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; STATISTICAL MECHANICS; VORTEX FLOW;

BOSE-EINSTEIN CONDENSATES; COLLISIONAL ENERGIES; CONSERVATION OF MASS; INTERFERENCE PATTERNS; MATTER-WAVE INTERFERENCE; PERIODIC EVOLUTION; REPULSIVE INTERACTION ENERGY; SHARP CONTRAST;

SOLITONS;

EID: 61849117409     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1177     Document Type: Article

References (30)

1. Andrews, M. R. et al. Observation of interference between two Bose condensates. Science 275, 637-641 (1997).
2. Scott, T. F., Ballagh, R. J. & Burnett, K. Formation of fundamental structures in Bose-Einstein condensates. J. Phys. B 31, L329-L335 (1998).
3. Carr, L. D., Brand, J., Burger, S. & Sanpera, A. Dark-soliton creation in Bose-Einstein condensates. Phys. Rev. A 63, 051601 (R) (2001).
4. Reinhardt, W. P. & Clark, C. W. Soliton dynamics in the collisions of Bose-Einstein condensates: An analogue of the Josephson effect. J. Phys. B 30, L785-L789 (1997).
5. Anderson, B. P. et al. Watching dark solitons decay into vortex rings in a Bose-Einstein condensate. Phys. Rev. Lett. 86, 2926-2929 (2001).
6. Dutton, Z., Budde, M., Slowe, C. & Hau, L. V. Observation of quantum shock waves created with ultra-compressed slow light pulses in a Bose-Einstein condensate.Science 293, 663-668 (2001).
7. Kadomtsev, B. B. & Perviashvili, V. I. On the stability of solitary waves in weakly dispersing media. Sov. Phys. Dokl. 15,539-541 (1970).
8. Jones, C. A., Putterman, S. J. & Roberts, P. H. Motions in a Bose condensate: V. Stability of solitary wave solutions of non-linear Schrödinger equations in two and three dimensions.J. Phys. A 19, 2991-3011 (1986).
9. 4 He by the Kadomtsev-Petviashvili instability. Europhys. Lett. 30, 43-48 (1995).
10. Feder, D. L., Pindzola, M. S., Collins, L. A., Schneider, B. I. & Clark, C. W. Dark-soliton states of Bose-Einstein condensates in anisotropic traps. Phys. Rev. A 62, 053606 (2000).
11. Brand, J. & Reinhardt, W. P. Solitonic vortices and the fundamental modes of the 'snake instability': Possibility of observation in the gaseous Bose-Einstein condensate. Phys. Rev. A 65, 043612 (2002).
12. Theocharis, G., Frantzeskakis, D. J., Kevrekidis, P. G., Malomed, B. A. & Kivshar, Y. S. Ring dark solitons and vortex necklaces in Bose-Einstein condensates. Phys. Rev. Lett. 90, 120403 (2003).
13. Mamaev, A. V., Saffman, M. & Zozulya, A. A. Propagation of dark stripe beams in nonlinear media: Snake instability and creation of optical vortices. Phys. Rev. Lett. 76, 2262-2265 (1996).
14. Jo, G.-B. et al. Phase-sensitive recombination of two Bose-Einstein condensates on an atom chip. Phys. Rev. Lett. 98, 180401 (2007).
15. Pitaevskii, L. & Stringari, S. Bose-Einstein condensation Sects 5.4 and 5.5 (Oxford Univ. Press, 2003).
16. Jackson, A. D., Kavoulakis, G. M. & Pethick, C. J. Solitary waves in clouds of Bose-Einstein condensed atoms. Phys. Rev. A 58, 2417-2422 (1998).
17. Burger, S. et al. Dark solitons in Bose-Einstein condensates. Phys. Rev. Lett. 83, 5198-5201 (1999).
18. Denschlag, J. et al. Generating solitons by phase engineering of a Bose-Einstein condensate.Science 287, 97-101 (2000).
19. Becker, C. et al. Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates. Nature Phys. 4, 496-501 (2008).
20. Muryshev, A. E., van Linden van den Heuvell, H. B. & Shlyapnikov, G. V. Stability of standing matter waves in a trap. Phys. Rev. A 60, R2665-R2668 (1999).
21. Carr, L. D., Clark, C. W. & Reinhardt, W. P. Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity. Phys. Rev. A 62, 063610 (2000).
22. Komineas, S. & Papanicolaou, N. Nonlinear waves in a cylindrical Bose-Einstein condensate. Phys. Rev. A 67, 023615 (2003).
23. Donnelly, R. J. Quantized Vortices in Helium II Chs 1, 4 (Cambridge Univ. Press, 1991).
24. Rayfield, G. W. & Reif, F. Quantized vortex rings in supertluid helium. Phys. Rev. 136, A1194-A1208 (1964).
25. Guilleumas, M., Jezek, D. M., Mayol, R., Pi, M. & Barranco, M. Generating vortex rings in Bose-Einstein condensates in the line-source approximation. Phys. Rev. A 65, 053609 (2002).
26. Andrews, M. R. et al. Propagation of sound in a Bose-Einstein condensate. Phys. Rev. Lett. 79, 553-556 (1997).
27. Zaremba, E. Sound propagation in a cylindrical Bose-condensed gas. Phys. Rev. A 57, 518-521 (1998).
28. Snyder, A. W., Hewlett, S. J. & Mitchell, D. J. Periodic solitons in optics. Phys. Rev. E 51, 6297-6300 (1995).
29. Weller, A. et al. Experimental observation of oscillating and interacting matter wave dark solitons. Phys. Rev. Lett. 101, 130401 (2008).
30. Levy, S., Lahoud, E., Shomroni, I. & Steinhauer, J. The a.c. and d.c. Josephson effects in a Bose-Einstein condensate. Nature 449, 579-583 (2007).