Dynamical instability in kicked Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  Reslen, J ^a   Creffield, C E ^a,b   Monteiro, T S ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; NONLINEAR ANALYSIS; RESONANCE; SPECTRUM ANALYSIS;

DYNAMICAL INSTABILITY; STANDING WAVES;

BOSE-EINSTEIN CONDENSATION;

EID: 42449161911     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.043621     Document Type: Article

References (38)

1. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003)
2. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.463 71, 463 (1999).
3. D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1787 70, 1787 (1993).
4. S. A. Gardiner, D. Jaksch, R. Dum, J. I. Cirac, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.023612 62, 023612 (2000)
5. R. Artuso and L. Rebuzzini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036221 68, 036221 (2003).
6. Q. Thommen, J. C. Garreau, and V. Zehnle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.210405 91, 210405 (2003).
7. G.J. Duffy, A.S. Mellish, K.J. Challis, and A.C. Wilson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.041602 70, 041602 (R) (2004).
8. C. Zhang, J. Liu, M. G. Raizen, and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.054101 92, 054101 (2004).
9. J. Liu, C. Zhang, M.G. Raizen, and Q. Niu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.013601 73, 013601 (2006).
10. S. Wimberger, R. Mannella, O. Morsch, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.130404 94, 130404 (2005).
11. A. D. Martin, C. S. Adams, and S. A. Gardiner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.020402 98, 020402 (2007).
12. M. G. Raizen, Adv. At., Mol., Opt. Phys. 41, 43 (1999). 1049-250X
13. M. K. Oberthaler, R. M. Godun, M. B. d'Arcy, G. S. Summy, and K. Burnett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4447 83, 4447 (1999).
14. S. Fishman, I. Guarneri, and L. Rebuzzini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.084101 89, 084101 (2002)
15. L. Rebuzzini, S. Wimberger, and R. Artuso, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036220 71, 036220 (2005).
16. L. Rebuzzini, R. Artuso, S. Fishman, and I. Guarneri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.031603 76, 031603 (R) (2007).
17. C. Ryu, M. F. Andersen, A. Vaziri, M. B. d'Arcy, J. M. Grossman, K. Helmerson, and W. D. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.160403 96, 160403 (2006)
18. M. Sadgrove, M. Horikoshi, T. Sekimura, and K. Nakagawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.043002 99, 043002 (2007)
19. G. Behinaein, V. Ramareddy, P. Ahmadi, and G. S. Summy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.244101 97, 244101 (2006)
20. I. Dana, V. Ramareddy, I. Talukdar, and G. S. Summy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.024103 100, 024103 (2008)
21. J. F. Kanem, S. Maneshi, M. Partlow, M. Spanner, and A. M. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.083004 98, 083004 (2007).
22. B. Wu and Q. Niu, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/104 5, 104 (2003).
23. M. Kramer, C. Tozzo, and F. Dalfovo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.061602 71, 061602 (R) (2005)
24. C. Tozzo, M. Krämer, and F. Dalfovo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023613 72, 023613 (2005).
25. D. Poletti, G. Benenti, G. Casati, and B. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023421 76, 023421 (2007).
26. J. J. Garcia-Ripoll, V. M. Perez-Garcia, and P. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1715 83, 1715 (1999)
27. Yu. Kagan and L. A. Manakova, e-print arXiv:cond-mat/0609159.
28. N. Gemelke, E. Sarajlic, Y. Bidel, S. Hong, and S. Chu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170404 95, 170404 (2005)
29. G. Campbell, J. Mun, M. Boyd, E. Streed, W. Ketterle, and D. Pritchard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.020406 96, 020406 (2006)
30. P. Engels, C. Atherton, and M. A. Hoefer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.095301 98, 095301 (2007).
31. P. H. Jones, M. M. Stocklin, G. Hur, and T. S. Monteiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.223002 93, 223002 (2004)
32. C. E. Creffield, G. Hur, and T. S. Monteiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.024103 96, 024103 (2006)
33. J. Wang, T. S. Monteiro, S. Fishman, J. P. Keating, and R. Schubert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.234101 99, 234101 (2007).
34. This means that we work with the effective value of the one-dimensional nonlinearity constant g g1D.
35. Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553 79, 3553 (1997)
36. Y. Castin and R. Dum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57. 3008 57, 3008 (1998).
37. S.A.Gardiner and S.A.Morgan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.043621 75, 043621 (2007).
38. While we cannot draw any conclusions on the kicked harmonic oscillator, as we do not study it, we note that, e.g., Figs. 18 and 19 in the study in Ref. show deep slow oscillations suggestive of an approach to a Bogoliubov resonance (not necessarily leading to exponential behavior in those examples).