One-dimensional reduction of the three-dimenstional Gross-Pitaevskii equation with two- and three-body interactions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 3, 2011, Pages

  Cardoso, W B ^a   Avelar, A T ^a   Bazeia, D ^b  

^a FEDERAL UNIVERSITY OF GOIÁS   (Brazil)

^b FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIC ATOMS; DIMENSIONAL REDUCTION; GROSS-PITAEVSKII EQUATION; NON-LINEARITY; NUMERICAL SIMULATION; QUINTIC; SCATTERING POTENTIALS; SPATIAL DIMENSION; THREE-BODY INTERACTION;

BOSE-EINSTEIN CONDENSATION; NONLINEAR EQUATIONS;

CONTROL NONLINEARITIES;

EID: 79953148367     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.036604     Document Type: Article

References (43)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995).
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995).
3. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
4. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
5. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5198 83, 5198 (1999).
6. J. Denschlag, J. E. Simsarian, D. L. Feder, Charles W. Clark, L. A. Collins, J. Cubizolles, L. Deng, E. W. Hagley, K. Helmerson, W. P. Reinhardt, S. L. Rolston, B. I. Schneider, and W. D. Phillips, Science SCIEAS 0036-8075 10.1126/science.287.5450.97 287, 97 (2000). (Pubitemid 30033226)
7. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002). (Pubitemid 34506790)
8. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science SCIEAS 0036-8075 10.1126/science. 1071021 296, 1290 (2002). (Pubitemid 34522779)
9. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003).
10. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.463 71, 463 (1999).
11. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.307 73, 307 (2001).
12. B. A. Malomed, Soliton Management in Periodic Systems (Springer, New York, 2006).
13. J. L. Roberts, N. R. Claussen, S. L. Cornish, E. A. Donley, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4211 86, 4211 (2001). (Pubitemid 32469522)
14. S. Inouye, M. R. Andrews, J. Stenger, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998). (Pubitemid 28162780)
15. E. Timmermans, P. Tommasini, M. Hussein, and A. Kerman, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00025-3 315, 199 (1999).
16. P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.230401 90, 230401 (2003).
17. F. Kh. Abdullaev and V. V. Konotop, Nonlinear Waves: Classical and Quantum Aspects (Kluwer Academic, New York, 2004), p. 251.
18. V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3837 57, 3837 (1998).
19. A. D. Jackson, G. M. Kavoulakis, and C. J. Pethick, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2417 58, 2417 (1998).
20. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002).
21. L. Salasnich, Laser Phys. 12, 198 (2002).
22. L. Salasnich, A. Cetoli, B. A. Malomed, F. Toigo, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.013623 76, 013623 (2007). (Pubitemid 47169142)
23. S. K. Adhikari and L. Salasnich, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/2/023011 11, 023011 (2009).
24. L. Salasnich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.053620 79, 053620 (2009).
25. L. Salasnich, J. Phys. A: Math. Theor. PLRAAN 1751-8113 10.1088/1751-8113/42/33/335205 42, 335205 (2009).
26. G. Filatrella, B. A. Malomed, and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.045602 79, 045602 (2009).
27. G. Gligorić, A. Maluckov, L. Salasnich, B. A. Malomed, and Lj. Hadžievski, Chaos CHAOEH 1054-1500 10.1063/1.3248269 19, 043105 (2009).
28. L. E. Young-S, L. Salasnich, and S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.053601 82, 053601 (2010).
29. T. Kraemer, M. Mark, P. Waldburger, J. G. Danzl, C. Chin, B. Engeser, A. D. Lange, K. Pilch, A. Jaakkola, H.-C. Nügerl, and R. Grimm, Nature (London) NATUAS 0028-0836 10.1038/nature04626 440, 315 (2006).
30. G. Roati, M. Zaccanti, C. DâErrico, J. Catani, M. Modugno, A. Simoni, M. Inguscio, and G. Modugno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.010403 99, 010403 (2007). (Pubitemid 47150512)
31. L. Mazza, M. Rizzi, M. Lewenstein, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.043629 82, 043629 (2010).
32. Y. Wang, J. P. DâIncao, and B. D. Esry, e-print arXiv: 0906.5019.
33. A. T. Avelar, D. Bazeia, and W. B. Cardoso, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.025602 79, 025602 (R) (2009).
34. W. B. Cardoso, A. T. Avelar, and D. Bazeia, Nonlinear Anal. Real World Appl. PLRAAN 1468-1218 10.1016/j.nonrwa.2010.05.013 11, 4269 (2010).
35. C. Chin, T. Kraemer, M. Mark, J. Herbig, P. Waldburger, H.-C. Nügerl, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.123201 94, 123201 (2005). (Pubitemid 40620543)
36. F. Kh. Abdullaev, A. Gammal, L. Tomio, and T. Frederico, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043604 63, 043604 (2001); (Pubitemid 33727772)
37. A. Bulgac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 050402 89, 050402 (2002);
38. A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.040401 89, 040401 (2002);
39. P. Pieri and G. C. Strinati, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.030401 91, 030401 (2003);
40. T. KÃhler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.210404 89, 210404 (2002);
41. A.-X. Zhang and J.-K. Xue, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.013624 75, 013624 (2007); (Pubitemid 46182635)
42. U. Roy, R. Atre, C. Sudheesh, C. N. Kumar, and P. K. Panigrahi, J. Phys. B: At. Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/43/2/025003 43, 025003 (2010).
43. P. Muruganandam and S. K. Adhikari, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2009.04.015 180, 1888 (2009).