Faraday waves in bose-einstein condensates subject to anisotropic transverse confinement

Romanian Reports in Physics

Volumn 63, Issue SUPPL., 2012, Pages 1329-1337

  Nicolin, Alexandru I ^a  

^a HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

Bose einstein condensates; Faraday waves; Variational treatment

Indexed keywords

EID: 84859024872     PISSN: 12211451     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. J.J. Garćia-Ripoll, V.M. Pèrez-Garćia, and P. Torres, Phys. Rev. Lett., 83, 1715 (1999).
2. K. Staliunas, S. Longhi, and G.J. de Valcárcel, Phys. Rev. Lett., 89, 210406 (2002).
3. K. Staliunas, S. Longhi, and G.J. de Valcárcel, Phys. Rev. A, 70, 011601(R) (2004).
4. M. Kramer, C. Tozzo, and F. Dalfovo, Phys. Rev. A, 71, 061602(R) (2005).
5. C. Tozzo, M. Kramer, and F. Dalfovo, Phys. Rev. A, 72, 023613 (2005).
6. M. Modugno, C. Tozzo, and F. Dalfovo, Phys. Rev. A, 74, 061601(R) (2006).
7. P. Engels, C. Atherton, and M.A. Hoefer, Phys. Rev. Lett., 98, 095301 (2007).
8. H. Abe, T. Ueda, M. Morikawa, Y. Saitoh, R. Nomura, and Y. Okuda, Phys. Rev. E, 76, 046305 (2007);
9. T. Ueda, H. Abe, Y. Saitoh, R. Nomura and Y. Okuda, J. Low Temp. Phys., 148, 553 (2007).
10. S.E. Pollack, D. Dries, R.G. Hulet, K.M.F. Magalhaes, E.A.L. Henn, E.R.F. Ramos, M.A. Cara- canhas, and V.S. Bagnato, Phys. Rev. A, 81, 053627 (2010).
11. I. Vidanovic, A. Balaz, H. Al-Jibbouri, and A. Pelster, Phys. Rev. A, 84, 013618 (2011).
12. A. Balaz, I. Vidanovic, A. Bogojevic, A. Belic, and A. Pelster, J. Stat. Mech. P03004 (2011).
13. A. Balaz, I. Vidanovic, A. Bogojevic, A. Belic, and A. Pelster, J. Stat. Mech. P03005 (2011).
14. A.I. Nicolin, R. Carretero-Gonza ́les, and P.G. Kevrekidis, Phys. Rev. A, 76, 063609 (2007).
15. A.I. Nicolin and M.C. Raportaru, Physica A, 389, 4663 (2010).
16. R. Nath and L. Santos, Phys. Rev. A, 81, 033626 (2010).
17. P. Capuzzi, M. Gattobigio, and P. Vignolo, Phys. Rev. A, 83, 013603 (2011).
18. N. Katz and O. Agam, New J. Phys., 12, 073020 (2010).
19. Q.-Y. Li, Z.-D. Li, L. Li, and G.-S. Fu, Opt. Comm., 283, 3361 (2010).
20. K. Staliunas, Phys. Rev. A, 84, 013626 (2011).
21. A.B. Bhattacherjee, Phys. Scr., 87, 045009 (2008);
22. J. Hansen, Ingineur-Archiv, 55, 463 (1985), for a thorough discussion on coupled Mathieu equations.
23. P. Das, T.S. Raju, U. Roy, and P.K. Panigrahi, Phys. Rev. A, 79, 015601 (2009).
24. P. Capuzzi and P. Vignolo, Phys. Rev. A, 78, 043613 (2008).
25. R.A. Tang, H.C. Li, and J.K. Xue, J. Phys. B: At. Mol. Opt. Phys., 44, 115303 (2011).
26. C.D. Graf, G. Weick, and E. Mariani, EPL, 89, 40005 (2010).
27. C.J. Pethick and H. Smith, Bose-Einstein condensation in dilute gases, Cambridge University Press, Cambridge, 2008.
28. S.K. Adhikari and P. Muruganandam, J. Phys. B: At. Mol. Opt., 35, 2831 (2002).
29. P. Muruganandam and S.K. Adhikari, Comp. Phys. Comm., 180, 1888 (2009).
30. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A, 65, 043614 (2002).
31. L. Salasnich, Laser Phys., 12, 198 (2002).
32. L. Salasnich, J. Phys. A: Math. Theor., 42, 335205 (2009).
33. A. Mun ̃oz Mateo, V. Delgado, Phys. Rev. A, 77, 013607 (2008).
34. A. Mun ̃oz Mateo, V. Delgado, Ann. Phys., 324, 709 (2009).
35. A.I. Nicolin, Rom. Rep. Phys., 61, 641 (2009).
36. The Gaussian variational model stems from nonlinear optics, where an equation that is mathemati-cally identical to the GP equation was used to describe the propagation of light pulses. To fathom the original calculations one can look into: E. Caglioti, S. Trillo, S. Wabnitz, B. Crosignani, and P. Di Porto, J. Opt. Soc. Amer. B, 7, 374 (1990);
37. M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Amer. B, 8, 2082 (1991);
38. B. Crosignani, P. Di Porto, and S. Piazzolla, Pure Appl. Opt. 1, 7 (1992)
39. V.M. Perez-Garcia, H. Michinel, J.I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett., 77, 5320 (1996).
40. J.J.G. Ripoll and V.M. Perez-Garcia, Phys. Rev. A, 59, 2220 (1999).
41. A.L. Fetter, J. Low. Temp. Phys., 106, 643 (1997).
42. K.S. Fa, R.S. Mendes, P.R.B. Pedreira, and E.K. Lenzi, Physica A, 295, 242 (2001).
43. E. Erdemir and B. Tanatar, Physica A, 322, 449 (2003).
44. A.I. Nicolin and R. Carretero-Gonza ́les, Physica A, 387, 6032 (2008).
45. B.A. Malomed, Soliton Management in Periodic Systems, Springer, New York, 2006.
46. D.J. Frantzeskakis, J. Phys. A: Math. Theor., 43, 213001 (2010).
47. A.I. Nicolin and M.C. Raportaru, Proc. Romanian Acad. A, 12, 209 (2011).
48. N.W. McLachlan, Theory and Application of Mathieu Functions, Oxford University Press, NewYork, 1951.
49. M. Faraday, Philos. Trans. R. Soc. London, 121, 299 (1831).
50. M. Schatzman, Numerical Analysis, Clarendon Press, Oxford, 2002.
51. L.F. Shampine, Numerical Solution of Ordinary Differential Equations, Chapman&Hall, NewYork, 1994.