Gap solitons in elongated geometries: The one-dimensional Gross-Pitaevskii equation and beyond

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 5, 2011, Pages

  Mateo, A Muñoz ^a   Delgado, V ^a   Malomed, Boris A ^b  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; BOUND STATE; CIGAR-SHAPED TRAP; EXPERIMENTAL CONDITIONS; GAP SOLITON; GROSS-PITAEVSKII EQUATION; GROUND STATE WAVEFUNCTIONS; HARMONIC OSCILLATORS; HIGHER ORDER; MATTER WAVES; NON-LINEARITY; RADIAL CONFINEMENT; SYSTEMATIC ANALYSIS; SYSTEMATIC SIMULATION; TRANSVERSE CONFINEMENT; TRANSVERSE MODE;

BOSE-EINSTEIN CONDENSATION; GROUND STATE; HARMONIC FUNCTIONS; SOLITONS; STATISTICAL MECHANICS; STEAM CONDENSERS; THREE DIMENSIONAL;

CONTROL NONLINEARITIES;

EID: 79961091460     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.053610     Document Type: Article

References (36)

1. V. A. Brazhnyi and V. V. Konotop, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007190 18, 627 (2004). (Pubitemid 40292032)
2. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
3. R. Carretero-González, D. J. Frantzeskakis, and P. G. Kevrekidis, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/21/7/R01 21, R139 (2008).
4. Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment, edited by, P. G. Kevrekidis, D. J. Frantzeskakis, and, R. Carretero-González, (Springer, Heidelberg, Germany, 2007).
5. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.83.247 83, 247 (2011).
6. E. P. Gross, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02731494 20, 454 (1961);
7. E. P. Gross, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703944 4, 195 (1963);
8. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961)
9. L. P. Pitaevskii, [Sov. Phys. JETP 13, 451 (1961)].
10. A. Muñoz Mateo and V. Delgado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.180409 97, 180409 (2006). (Pubitemid 44684360)
11. J. A. M. Huhtamäki, M. Möttönen, T. Isoshima, V. Pietilä, and S. M. M. Virtanen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.110406 97, 110406 (2006). (Pubitemid 44403683)
12. P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.013602 67, 013602 (2003).
13. F. Kh. Abdullaev and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033617 72, 033617 (2005). (Pubitemid 41776578)
14. T. Mayteevarunyoo and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.033616 74, 033616 (2006). (Pubitemid 44444805)
15. Y. Zhang and B. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.093905 102, 093905 (2009).
16. Y. Zhang, Z. Liang, and B. Wu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.063815 80, 063815 (2009).
17. A. Muñoz Mateo, V. Delgado, and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.053606 82, 053606 (2010).
18. A. E. Muryshev, G. V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.110401 89, 110401 (2002).
19. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002);
20. L. Salasnich, Laser Phys. 12, 198 (2002).
21. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013617 77, 013617 (2008); (Pubitemid 351161682)
22. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063610 75, 063610 (2007); (Pubitemid 47014687)
23. A. Muñoz Mateo and V. Delgado, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2008.10.002 324, 709 (2009).
24. S. Middelkamp, G. Theocharis, P. G. Kevrekidis, D. J. Frantzeskakis, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.053618 81, 053618 (2010).
25. G. Theocharis, A. Weller, J. P. Ronzheimer, C. Gross, M. K. Oberthaler, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063604 81, 063604 (2010).
26. C. Wang, P. G. Kevrekidis, T. P. Horikis, and D. J. Frantzeskakis, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2010.07.028 374, 3863 (2010).
27. S. Middelkamp, J. J. Chang, C. Hamner, R. Carretero-González, P. G. Kevrekidis, V. Achilleos, D. J. Frantzeskakis, P. Schmelcher, and P. Engels, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2010.11.025 375, 642 (2011).
28. An independent derivation of this formula was reported by F. Gerbier, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10035-7 66, 771 (2004). (Pubitemid 39025391)
29. L. Salasnich, B. A. Malomed, and F. Toigo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.063614 76, 063614 (2007). (Pubitemid 350281248)
30. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.065602 74, 065602 (2006). (Pubitemid 44974743)
31. S. Adhikari and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/79/50003 79, 50003 (2007);
32. S. Adhikari and B. A. Malomed, Physica D PDNPDT 0167-2789 10.1016/j.physd.2008.07.025 238, 1402 (2009).
33. F. H. Mies, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.022721 61, 022721 (2000).
34. B. Eiermann, Th. Anker, M. Albiez, M. Taglieber, P. Treutlein, K.-P. Marzlin, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.230401 92, 230401 (2004).
35. J. Armijo, T. Jacqmin, K. Kheruntsyan, and I. Bouchoule, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.021605 83, 021605 (2011).
36. J. Yang and Z. H. Musslimani, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.28.002094 28, 2094 (2003).