Bose-Einstein condensates under a spatially modulated transverse confinement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Salasnich, L ^a   Cetoli, A ^a   Malomed, B A ^b   Toigo, F ^a   Reatto, L ^c  

^a UNIVERSITY OF PADOVA   (Italy)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRAPS; NATURAL FREQUENCIES; NUMERICAL METHODS; SCHRODINGER EQUATION; SOLITONS; SPECTRUM ANALYSIS;

AXIAL DIRECTION; PERIODIC MODULATION; SPATIALLY MODULATED TRANSVERSE CONFINEMENT; TRANSVERSE CONFINING FREQUENCY;

BOSE-EINSTEIN CONDENSATION;

EID: 34547411862     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.013623     Document Type: Article

References (36)

1. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002)
2. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/373 5, 73 (2003).
3. 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).
4. S. L. Cornish, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170401 96, 170401 (2006).
5. V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3837 57, 3837 (1998).
6. L. Salasnich, Laser Phys. 12, 198 (2002) 1054-660X
7. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002).
8. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043603 66, 043603 (2002).
9. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.045601 69, 045601 (2004).
10. L. Salasnich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053610 74, 053610 (2006).
11. 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).
12. S. De Nicola, B. A. Malomed, and R. Fedele, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.07.062 360, 164 (2006).
13. D. E. Pelinovsky, Y. S. Kivshar, and V. V. Afanasjev, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)80010-9 116, 121 (1998)
14. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
15. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
16. L. Salasnich, A. Cetoli, B. A. Malomed, and F. Toigo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033622 75, 033622 (2007).
17. S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy, and D. M. Stamper-Kurn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.143201 95, 143201 (2005).
18. L. Salasnich, Laser Phys. 14, 291 (2004). 1054-660X
19. D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043615 73, 043615 (2006).
20. E. Cerboneschi, R. Mannella, E. Arimondo, and L. Salasnich, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00732-4 249, 495 (1998)
21. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.023601 64, 023601 (2001).
22. G. L. Alfimov, V. V. Konotop, and M. Salerno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00599-0 58, 7 (2002)
23. B. B. Baizakov, V. V. Konotop, and M. Salerno, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/24/312 35, 5105 (2002)
24. 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).
25. A. Parola, L. Salasnich, R. Rota, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063612 72, 063612 (2005)
26. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.031603 74, 031603 (R) (2006).
27. B. A. Malomed, in Progress in Optics, edited by, E. Wolf, (North Holland, Amsterdam, 2002), Vol. 43, p. 71.
28. Equations 24 25 are solved by choosing η as an independent parameter. Then, defining A=αexp (- k2 η2) and B=A (1+2 k2 η2) -1, one finds, after some algebraic manipulations, σ2 = (1- 1-4 η4 B) (2 η2 B) and g=η [1- (1-A) σ4] 2π.
29. M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973).
30. A. Gammal, L. Tomio, and T. Frederico, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043619 66, 043619 (2002).
31. B. A. Malomed, Z. H. Wang, P. L. Chu, and G. D. Peng, J. Opt. Soc. Am. B 16, 1197 (1999) 0740-3224
32. G. Alfimov, and V. V. Konotop, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00138-X 146, 307 (2000).
33. B. B. Baizakov, B. A. Malomed, and M. Salerno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579-4 63, 642 (2003)
34. B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053613 70, 053613 (2004).
35. A. Gubeskys, B. A. Malomed, and I. M. Merhasin, Stud. Appl. Math. SAPMB6 0022-2526 10.1111/j.1467-9590.2005.00328.x 115, 255 (2005).
36. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.063608 67, 063608 (2003).