Nonequilibrium dynamics of a bose-einstein condensate excited by a red laser inside a power-law trap with hard walls

Journal of Low Temperature Physics

Volumn 173, Issue 3-4, 2013, Pages 177-206

  Sakhel, Roger R ^a   Sakhel, Asaad R ^b   Ghassib, Humam B ^c  

^a ISRA UNIVERSITY   (Jordan)

^b AL BALQA APPLIED UNIVERSITY   (Jordan)

^c UNIVERSITY OF JORDAN   (Jordan)

Author keywords

Chaos; Crank Nicolson method; Dynamics of a Bose Einstein condensate; Excitations by a red detuned laser potential; Time dependent Gross Pitaevskii equation; Ultra cold trapped Bose gases

Indexed keywords

BOSE GAS; BOSE-EINSTEIN CONDENSATES; CRANK-NICOLSON METHODS; GROSS-PITAEVSKII EQUATION; LASER POTENTIAL;

BOSE-EINSTEIN CONDENSATION; CHAOS THEORY; DYNAMICS;

HAMILTONIANS;

EID: 84885657567     PISSN: 00222291     EISSN: 15737357     Source Type: Journal    
DOI: 10.1007/s10909-013-0894-6     Document Type: Article

References (74)

1. J.S. Stieβberger, W. Zwerger, Phys. Rev. A 62, 061601(R) (2000)
2. K. Fujimoto, M. Tsubota, Phys. Rev. A 82, 043611 (2010)
3. K. Fujimoto, M. Tsubota, J. Low Temp. Phys. 162, 307 (2011)
4. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603R (2000)
5. A. Radouani, Phys. Rev. A 70, 013602 (2004)
6. B.M. Caradoc-Davies, R.J. Ballagh, K. Burnett, Phys. Rev. Lett. 83, 895 (1999)
7. B.M. Caradoc-Davies, R.J. Ballagh, P.B. Blakie, Phys. Rev. A 62, 011602(R) (2000)
8. T.W. Neely, E.C. Samson, A.S. Bradley, M.J. Davis, B.P. Anderson, Phys. Rev. Lett. 104, 160401 (2010)
9. P. Engels, C. Atherton, Phys. Rev. Lett. 99, 160405 (2007)
10. R. Onofrio, C. Raman, J.M. Vogels, J.R. Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85(11), 2228 (2000)
11. K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)
12. C. Raman, J.R. Abo-Shaeer, J.M. Vogels, K. Xu, W. Ketterle, Phys. Rev. Lett. 87, 210402 (2001)
13. C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83(13), 2502 (1999)
14. K.W. Madison, F. Chevy, V. Bretin, J. Dalibard, Phys. Rev. Lett. 86, 4443 (2001)
15. T.-L. Horng, S.-C. Gou, T.-C. Lin, G.A. El, A.P. Itin, A.M. Kamchatnov, Phys. Rev. A 79, 053619 (2009)
16. M. Hammes, D. Rychtarik, H.-C. Nägerl, R. Grimm, Phys. Rev. A 66, 051401(R) (2002)
17. M.C. Garrett, A. Ratnapala, E.D. van Ooijen, C.J. Vale, K. Weegink, S.K. Schnelle, O. Vainio, N.R. Heckenberg, H. Rubinsztein-Dunlop, M.J. Davis, Phys. Rev. A 83, 013630 (2011)
18. D.R. Scherer, C.N. Weiler, T.W. Neely, B.P. Anderson, Phys. Rev. Lett. 98, 110402 (2007)
19. C. Tuchendler, A.M. Lance, A. Browaeys, Y.R.P. Sortais, P. Grangier, Phys. Rev. A 78, 033425 (2008)
20. D.M. Stamper-Kurn, H.-J. Miesner, A.P. Chikkatur, S. Inouye, J. Stenger, W. Ketterle, Phys. Rev. Lett. 81, 2194 (1998)
21. D. Comparat, A. Fioretti, G. Stern, E. Dimova, B. Laburthe Tolra, P. Pillet, Phys. Rev. A 73, 043410 (2006)
22. D. Jacob, E. Mimoun, L. De Sarlo, M. Weitz, J. Dalibard, F. Gerbier, New J. Phys. 13, 065022 (2011)
23. T.L. Gustavson, A.P. Chikkatur, A.E. Leanhardt, A. Görlitz, S. Gupta, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 88, 020401 (2001)
24. M.D. Barrett, J.A. Sauer, M.S. Chapman, Phys. Rev. Lett. 87, 010404 (2001)
25. M. Schulz, H. Crepaz, F. Schmidt-Kaler, J. Eschner, R. Blatt, J. Mod. Opt. 54, 1619 (2007)
26. N.P. Proukakis, J. Schmiedmayer, H.T.C. Stoof, Phys. Rev. A 73, 053603 (2006)
27. R.B. Diener, B. Wu, M.G. Raizen, Q. Niu, Phys. Rev. Lett. 89, 070401 (2002)
28. T. Aioi, T. Kadokura, T. Kishimoto, H. Saito, Phys. Rev. X 1, 021003 (2011)
29. H. Uncu, D. Tarhan, E. Demiralp, O.E. Mustecaplioglu, Laser Phys. 18, 331 (2008)
30. C. Weitenberg, S. Kuhr, K. Molmer, J.F. Sherson, Phys. Rev. A 84, 032322 (2011)
31. A.V. Carpentier, J. Belmonte-Beitia, H. Michinel, V.M. Perez-Garcia, J. Mod. Opt. 55, 2819 (2008)
32. A.M. Kaufman, B.J. Lester, C.A. Regal, Phys. Rev. X 2, 041014 (2012)
33. N.G. Parker, N.P. Proukakis, M. Leadbeater, C.S. Adams, Phys. Rev. Lett. 90(22), 220401 (2003)
34. N.G. Parker, N.P. Proukakis, C.S. Adams, Phys. Rev. A 81, 033606 (2010)
35. R.R. Sakhel, A.R. Sakhel, H.B. Ghassib, Phys. Rev. A 84, 033634 (2011)
36. P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 180, 1888 (2009)
37. G.D. Bruce, J. Mayoh, G. Smirne, L. Torralbo-Campo, D. Cassettari, Phys. Scr. T 143, 014008 (2011)
38. G.D. Bruce, S.L. Bromley, G. Smirne, L. Torralbo-Campo, D. Cassettari, Phys. Rev. A 84, 053410 (2011)
39. K. Merloti, R. Dubessy, L. Longchambon, A. Perrin, P.-E. Pottie, V. Lorent, H. Perrin, New J. Phys. 15, 033007 (2013)
40. K. Bongs, S. Burger, G. Birkl, K. Sengstock, W. Ertmer, K. Rzażewski, A. Sanpera, M. Lewenstein, Phys. Rev. Lett. 83, 3577 (1999)
41. J. Ruostekoski, B. Kneer, W.P. Schleich, G. Rempe, Phys. Rev. A 63, 043613 (2001)
42. M. Horikoshi, K. Nakagawa, Phys. Rev. A 74, 031602(R) (2006)
43. O. Garcia, B. Deissler, K.J. Hughes, J.M. Reeves, C.A. Sackett, Phys. Rev. A 74, 031601(R) (2006)
44. B.V. Hall, S. Whitlock, R. Anderson, P. Hannaford, A.I. Sidorov, Phys. Rev. Lett. 98, 030402 (2007)
45. D.K. Faust, W.P. Reinhardt, Phys. Rev. Lett. 105, 240404 (2010)
46. M.R. Andrews, C.G. Townsend, H.-J. Miesner, D.S. Durfee, D.M. Kurn, W. Ketterle, Science 275, 637 (1997)
47. R. Carretero-González, B.P. Anderson, P.G. Kevrekidis, D.J. Frantzeskakis, C.N. Weiler, Phys. Rev. A 77, 033625 (2008)
48. R. Carretero-González, N. Whitaker, P.G. Kevrekidis, D.J. Frantzeskakis, Phys. Rev. A 77, 023605 (2008)
49. J.J. Chang, P. Engels, M.A. Hoefer, Phys. Rev. Lett. 101, 170404 (2008)
50. T. Yang, B. Xiong, K.A. Benedict, Phys. Rev. A 87, 023603 (2013)
51. F. Chevy, V. Bretin, P. Rosenbusch, K.W. Madison, J. Dalibard, Phys. Rev. Lett. 88, 250402 (2002)
52. Yu. Kagan, E.L. Surkov, G.V. Shlyapnikov, Phys. Rev. A 54, R1753 (1996)
53. L.P. Pitaevskii, Phys. Lett. A 221, 14 (1996)
54. L.P. Pitaevskii, A. Rosch, Phys. Rev. A 55, R853 (1997)
55. T.K. Ghosh, Phys. Lett. A 285, 222 (2001)
56. P.K. Ghosh, Phys. Rev. A 65, 012103 (2001)
57. T. Kimura, Phys. Rev. A 66, 013608 (2002)
58. D. Juki'c, H. Buljan, New J. Phys. 12, 055010 (2010)
59. J. Kälbermann, J. Phys. A, Math. Theor. 37, 2871 (2004)
60. P. Muruganandam, S.K. Adhikari, Phys. Rev. A 65, 043608 (2002)
61. H. Ott, J. Fortágh, S. Kraft, A. Günther, D. Komma, C. Zimmermann, Phys. Rev. Lett. 91, 040402 (2003)
62. D. Vudragović, I. Vidanović, A. BalaŽ, P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 183, 2021 (2012)
63. Computer Physics Communication Library, Science Direct. http://www.cpc.cs.qub.ac.uk
64. C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002)
65. D.J. Frantzeskakis, J. Phys. A, Math. Theor. 43, 213001 (2010)
66. A. Weller, J.P. Ronzheimer, C. Gross, J. Esteve, M.K. Oberthaler, D.J. Frantzeskakis, G. Theocharis, P.G. Kevrekidis, Phys. Rev. Lett. 101, 130401 (2008)
67. C.K. Law, C.M. Chan, P.T. Leung, M.-C. Chu, Phys. Rev. Lett. 85, 1598 (2000)
68. H.B. Ghassib, S. Chatterjee, Z. Phys. B, Condens. Matter 51, 93 (1983)
69. V.M. Pérez-Garciá, V.V. Konotop, V.A. Brazhnyi, Phys. Rev. Lett. 92, 220403 (2004)
70. W.P. Reinhardt, C.W. Clark, J. Phys. B, At. Mol. Opt. Phys. 30, L785 (1997)
71. T.F. Scott, R.J. Ballagh, K. Burnett, J. Phys. B, At. Mol. Opt. Phys. 31, L329 (1998)
72. C. Lee, E.A. Ostrovskaya, Y.S. Kivshar, J. Phys. B, At. Mol. Opt. Phys. 40, 4235 (2007)
73. S.K. Adhikari, Private communication, Sao Paulo State University
74. E. Lundh, cond-mat/0405316v1 (2004)