Nonlinear Bose-Einstein-condensate dynamics induced by a harmonic modulation of the s-wave scattering length

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 1, 2011, Pages

  Vidanović, Ivana ^a   Bala, Antun ^a   Al Jibbouri, Hamid ^b   Pelster, Axel ^c,d  

^a UNIVERSITY OF BELGRADE   (Serbia)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c UNIVERSITY OF DUISBURG ESSEN   (Germany)

^d BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; COLLECTIVE MODES; DYNAMICAL PROPERTIES; EXCITATION SPECTRUM; FESHBACH RESONANCES; HARMONIC MODULATIONS; HIGHER HARMONICS GENERATION; MEAN-FIELD; MODE COUPLING; NONLINEAR FEATURES; PERTURBATIVE APPROACH; S-WAVE SCATTERING LENGTHS; ZERO TEMPERATURES;

ELECTROMAGNETIC WAVE SCATTERING; EXPERIMENTS; SHEAR WAVES; STATISTICAL MECHANICS; STEAM CONDENSERS;

HARMONIC ANALYSIS;

EID: 79961107899     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.013618     Document Type: Article

References (49)

1. D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.420 77, 420 (1996).
2. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.988 77, 988 (1996).
3. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1671 77, 1671 (1996).
4. S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 2360 77, 2360 (1996).
5. V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5320 77, 5320 (1996). (Pubitemid 40620091)
6. V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56. 1424 56, 1424 (1997).
7. D. A. W. Hutchinson, E. Zaremba, and A. Griffin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1842 78, 1842 (1997).
8. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
9. G. M. Falco, A. Pelster, and R. Graham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.013624 76, 013624 (2007). (Pubitemid 47173163)
10. H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250402 91, 250402 (2003).
11. A. Altmeyer, S. Riedl, C. Kohstall, M. J. Wright, R. Geursen, M. Bartenstein, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.040401 98, 040401 (2007); (Pubitemid 46155088)
12. A. R. P. Lima and A. Pelster, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.021606 81, 021606 (R) (2010).
13. D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.500 81, 500 (1998).
14. F. Chevy, V. Bretin, P. Rosenbusch, K. W. Madison, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.250402 88, 250402 (2002).
15. M. Olshanii, H. Perrin, and V. Lorent, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.095302 105, 095302 (2010).
16. Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5315 77, 5315 (1996). (Pubitemid 40620090)
17. J. J. García-Ripoll, V. M. Pérez-García, and P. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1715 83, 1715 (1999).
18. J. J. G. Ripoll and V. M. Pérez-García, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.2220 59, 2220 (1999). (Pubitemid 40648376)
19. F. Dalfovo, C. Minniti, and L. P. Pitaevskii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.4855 56, 4855 (1997).
20. S. E. Pollack, D. Dries, R. G. Hulet, K. M. F. Magalhães, E. A. L. Henn, E. R. F. Ramos, M. A. Caracanhas, and V. S. Bagnato, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.053627 81, 053627 (2010).
21. S. E. Pollack, D. Dries, M. Junker, Y. P. Chen, T. A. Corcovilos, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.090402 102, 090402 (2009).
22. J.-K. Xue, G.-Q. Li, A.-X. Zhang, and P. Peng, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.016606 77, 016606 (2008). (Pubitemid 351177423)
23. H. Pu and N. P. Bigelow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1134 80, 1134 (1998).
24. V. I. Yukalov, E. P. Yukalova, and V. S. Bagnato, Las. Phys. LAPHEJ 1054-660X 10.1134/S1054660X09040240 19, 686 (2009).
25. S. K. Adhikari, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/6/303 36, 1109 (2003);
26. G. Filatrella, B. A. Malomed, and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.045602 79, 045602 (2009);
27. V. I. Yukalov and V. S. Bagnato, Laser Phys. Lett. 1612-2011 10.1002/lapl.200910004 6, 399 (2009).
28. F. K. Abdullaev, R. M. Galimzyanov, M. Brtka, and R. A. Kraenkel, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/17/009 37, 3535 (2004).
29. F. K. Abdullaev and J. Garnier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053604 70, 053604 (2004). (Pubitemid 40072993)
30. K. Staliunas, S. Longhi, and G. J. de Valcárcel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.210406 89, 210406 (2002).
31. N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillations (Gordon & Breach, New York, 1961).
32. Y. Zhou, W. Wen, and G. Huang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.104527 77, 104527 (2008).
33. A. Pelster, H. Kleinert, and M. Schanz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.016604 67, 016604 (2003).
34. R. Mickens, Introduction to Nonlinear Oscillations (Cambridge University Press, Cambridge, 1981).
35. N. Minorsky, Nonlinear Oscillation (Van Nostrand, Princeton, NJ, 1962).
36. P. Engels, C. Atherton, and M. A. Hoefer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.095301 98, 095301 (2007). (Pubitemid 46328719)
37. A. I. Nicolin, R. Carretero-González, and P. G. Kevrekidis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063609 76, 063609 (2007). (Pubitemid 350276580)
38. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon Press, Oxford, 2004).
39. P. Muruganandam and S. K. Adhikari, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2009.04.015 180, 1888 (2009).
40. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.281 75, 281 (2003). (Pubitemid 36539842)
41. mathematica symbolic calculation software package [http://www.wolfram. com/mathematica].
42. SCL BEC mathematica codes, [http://www.scl.rs/speedup/].
43. L. P. Pitaevskii, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96) 00538-5 221, 14 (1996).
44. L. P. Pitaevskii and A. Rosch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.R853 55, R853 (1997).
45. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.045601 69, 045601 (2004).
46. H. Ott, J. Fortágh, S. Kraft, A. Günther, D. Komma, and C. Zimmermann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.040402 91, 040402 (2003).
47. L. Pitaevskii and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4541 81, 4541 (1998).
48. E. Braaten and J. Pearson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.255 82, 255 (1999).
49. A. Lima and A. Pelster, e-print arXiv: 1103.4128.