Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 6, 2010, Pages

  Theocharis, G ^a   Weller, A ^b   Ronzheimer, J P ^b   Gross, C ^b   Oberthaler, M K ^b   Kevrekidis, P G ^a   Frantzeskakis, D J ^c  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b UNIVERSITY OF HEIDELBERG   (Germany)

^c UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BOGOLIUBOV; CIGAR-SHAPED BOSE-EINSTEIN CONDENSATES; DARK SOLITONS; DYNAMICAL INSTABILITIES; EIGEN FREQUENCIES; EIGENSTATES; EXCITATION FREQUENCY; LOW VELOCITIES; MATTER WAVES; MEAN FIELD MODELS; MULTISOLITON STATE; PARABOLIC TRAP; QUANTUM HARMONIC OSCILLATORS; REPULSIVE POTENTIALS; RESONANCE EFFECT;

ATOMS; EQUATIONS OF MOTION; OSCILLATORS (ELECTRONIC); STATISTICAL MECHANICS; STEAM CONDENSERS; SYSTEM STABILITY;

SOLITONS;

EID: 77953223742     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.063604     Document Type: Article

References (56)

1. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 64, 1627 (1973)
2. V. E. Zakharov and A. B. Shabat, [Sov. Phys. JETP 37, 823 (1973)].
3. Yu. S. Kivshar and B. Luther-Davies, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00073-2 298, 81 (1998).
4. B. Denardo, W. Wright, S. Putterman, and A. Larraza, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1518 64, 1518 (1990).
5. B. Denardo, B. Galvin, A. Greenfield, A. Larraza, S. Putterman, and W. Wright, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1730 68, 1730 (1992).
6. M. Chen, M. A. Tsankov, J. M. Nash, and C. E. Patton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1707 70, 1707 (1993).
7. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, UK, 2002).
8. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
9. P. G. Kevrekidis,,, D. J. Frantzeskakis,, and, R. Carretero- González,, eds., Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Springer, Berlin, 2007).
10. R. Carretero-González, D. J. Frantzeskakis, and P. G. Kevrekidis, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/21/7/R01 21, R139 (2008).
11. 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).
12. J. Denschlag, J. E. Simsarian, D. L. Feder, C. 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)
13. Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science SCIEAS 0036-8075 10.1126/science.1062527 293, 663 (2001).
14. B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2926 86, 2926 (2001). (Pubitemid 32317836)
15. K. Bongs, S. Burger, S. Dettmer, D. Hellweg, J. Arlt, W. Ertmer, and K. Sengstock, C. R. Acad. Sci. Paris 2, 671 (2001).
16. P. Engels and C. Atherton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.160405 99, 160405 (2007). (Pubitemid 47613345)
17. C. Becker, S. Stellmer, P. Soltan-Panahi, S. Dörscher, M. Baumert, E.-M. Richter, J. Kronjäger, K. Bongs, and K. Sengstock, Nature Phys. PRLTAO 1745-2473 10.1038/nphys962 4, 496 (2008).
18. S. Stellmer, C. Becker, P. Soltan-Panahi, E.-M. Richter, S. Dörscher, M. Baumert, J. Kronjäger, K. Bongs, and K. Sengstock, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.120406 101, 120406 (2008).
19. A. Weller, J. P. Ronzheimer, C. Gross, J. Esteve, M. K. Oberthaler, D. J. Frantzeskakis, G. Theocharis, and P. G. Kevrekidis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.130401 101, 130401 (2008).
20. I. Shomroni, E. Lahoud, S. Levy, and J. Steinhauer, Nature Phys. 1745-2473 10.1038/nphys1177 5, 193 (2009).
21. K. J. Blow and N. J. Doran, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(85)90194-X 107, 55 (1985).
22. N. N. Akhmediev and A. Ankiewich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3213 47, 3213 (1993). (Pubitemid 23667260)
23. L. Gagnon, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.10.000469 10, 469 (1993).
24. R. N. Thurston and A. M. Weiner, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.8.000471 8, 471 (1991).
25. L. Lerner, D. J. Mitchell, and A. W. Snyder, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.19.001302 19, 1302 (1994).
26. Y. S. Kivshar and W. Królikowski, Opt. Commun. OPCOB8 0030-4018 10.1016/0030-4018(94)00644-A 114, 353 (1995).
27. G. Huang, M. G. Velarde, and V. A. Makarov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.013617 64, 013617 (2001).
28. D. Foursa and Ph. Emplit, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4011 77, 4011 (1996).
29. F. Gerbier, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10035-7 66, 771 (2004). (Pubitemid 39025391)
30. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063610 75, 063610 (2007); (Pubitemid 47014687)
31. A. Muñoz Mateo and V. Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013617 77, 013617 (2008); (Pubitemid 351161682)
32. A. Muñoz Mateo and V. Delgado, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2008.10.002 324, 709 (2009).
33. Th. Busch and J. R. Anglin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2298 84, 2298 (2000).
34. A. E. Muryshev, H. B. van Linden van den Heuvel, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.R2665 60, R2665 (1999);
35. D. L. Feder, M. S. Pindzola, L. A. Collins, B. I. Schneider, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.053606 62, 053606 (2000). (Pubitemid 32023348)
36. G. Theocharis, P. G. Kevrekidis, M. K. Oberthaler, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.045601 76, 045601 (2007). (Pubitemid 47608535)
37. Yu. S. Kivshar, T. J. Alexander, and S. K. Turitsyn, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00774-X 278, 225 (2001). (Pubitemid 32096449)
38. D. V. Skryabin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.013602 63, 013602 (2001);
39. D. V. Skryabin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.055601 64, 055601 (2001).
40. R. S. MacKay, in Hamiltonian Dynamical Systems, edited by, R. S. MacKay, and, J. Meiss, (Hilger, Bristol, 1987), p. 137.
41. C. K. Law, P. T. Leung, and M.-C. Chu, J. Phys. B: At. Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/35/16/316 35, 3583 (2002). (Pubitemid 35011822)
42. T. Kapitula and P. G. Kevrekidis, Chaos 1054-1500 10.1063/1.1993867 15, 037114 (2005). (Pubitemid 43127598)
43. F. G. Bass, V. V. Konotop, and S. A. Puzenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4185 46, 4185 (1992).
44. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, 1987).
45. G. L. Alfimov and D. A. Zezyulin, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/20/9/004 20, 2075 (2007).
46. L. D. Carr, J. N. Kutz, and W. P. Reinhardt, Phys. Rev. E NONLE5 1539-3755 10.1103/PhysRevE.63.066604 63, 066604 (2001).
47. P. G. Kevrekidis, V. V. Konotop, A. Rodrigues, and D. J. Frantzeskakis, J. Phys. B: At. Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/38/8/008 38, 1173 (2005). (Pubitemid 41244583)
48. D. A. Zezyulin, G. L. Alfimov, V. V. Konotop, and V. M. Pérez-Garcia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013606 78, 013606 (2008).
49. W. Królikowski (personal communication).
50. V. A. Brazhnyi and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043613 68, 043613 (2003).
51. V. V. Konotop and L. Pitaevskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.240403 93, 240403 (2004). (Pubitemid 40086654)
52. G.-B. Jo, J.-H. Choi, C. A. Christensen, T. A. Pasquini, Y.-R. Lee, W. Ketterle, and D. E. Prithard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180401 98, 180401 (2007). (Pubitemid 46693364)
53. T. F. Scott, R. J. Ballagh, and K. Burnett, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/31/8/001 31, L329 (1998).
54. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402 95, 010402 (2005). (Pubitemid 41506409)
55. A. Weller, Ph.D. thesis (2009) and
56. J. P. Ronzheimer, diploma thesis (2008) both available at [http://www.matterwave.de/].