Localization of a bose-einstein-condensate vortex in a bichromatic optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Adhikari, S K ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; LOCALIZED STATE; NUMERICAL SIMULATION; ONE-DIMENSIONAL POTENTIAL; OPTICAL LATTICES; ORTHOGONAL DIRECTIONS; POLARIZED LASER BEAMS; QUASI-PERIODIC; STABLE BREATHING; THREE DIMENSIONS; TIME EVOLUTIONS; TIME-DEPENDENT GROSS-PITAEVSKII EQUATION;

BOSE-EINSTEIN CONDENSATION; COMPUTER SIMULATION; STATISTICAL MECHANICS; STEAM CONDENSERS;

LASER BEAMS;

EID: 77951699704     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.043636     Document Type: Article

References (75)

1. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
2. D. S. Wiersma, Nature (London) NATUAS 0028-0836 10.1038/37757 390, 671 (1997);
3. F. Scheffold, Nature (London) NATUAS 0028-0836 10.1038/18347 398, 206 (1999).
4. R. Dalichaouch, Nature (London) NATUAS 0028-0836 10.1038/354053a0 354, 53 (1991);
5. A. A. Chabanov, Nature (London) NATUAS 0028-0836 10.1038/35009055 404, 850 (2000).
6. R. L. Weaver, Wave Motion WAMOD9 0165-2125 10.1016/0165-2125(90)90034-2 12, 129 (1990).
7. J. Billy, Nature (London) NATUAS 0028-0836 10.1038/nature07000 453, 891 (2008).
8. G. Roati, Nature (London) NATUAS 0028-0836 10.1038/nature07071 453, 895 (2008).
9. J. Chabé, G. Lemarie, B. Gremaud, D. Delande, P. Szriftgiser, and J. C. Garreau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.255702 101, 255702 (2008).
10. E. E. Edwards, M. Beeler, T. Hong, and S. L. Rolston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.260402 101, 260402 (2008).
11. L. Pitaevskii and S. Stringari, Bose Einstein Condensation (Oxford University Press, Oxford, 2003).
12. C. J. Pethick and H. Smith, Bose Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England, 2002).
13. S. Inouye, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998).
14. P. G. Harper, Proc. Phys. Soc. London, Sect. A PPSAAM 0370-1298 10.1088/0370-1298/68/10/304 68, 874 (1955).
15. D. J. Boers, B. Goedeke, D. Hinrichs, and M. Holthaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063404 75, 063404 (2007).
16. S. Aubry and G. André, Ann. Israel Phys. Soc. 3, 133 (1980);
17. G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.084103 100, 084103 (2008).
18. D. J. Thouless, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.28.4272 28, 4272 (1983).
19. L. Sanchez-Palencia, D. Clement, P. Lugan, P. Bouyer, G. V. Shlyapnikov, and A. Aspect, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210401 98, 210401 (2007);
20. D. Clément, A. F. Varon, M. Hugbart, J. A. Retter, P. Bouyer, L. Sanchez-Palencia, D. M. Gangardt, G. V. Shlyapnikov, and A. Aspect, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170409 95, 170409 (2005);
21. J. E. Lye, L. Fallani, M. Modugno, D. S. Wiersma, C. Fort, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.070401 95, 070401 (2005).
22. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080403 91, 080403 (2003);
23. T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170411 95, 170411 (2005).
24. M. Modugno, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/3/033023 11, 033023 (2009).
25. M. Larcher, F. Dalfovo, and M. Modugno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.053606 80, 053606 (2009).
26. S. K. Adhikari and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023606 80, 023606 (2009).
27. G. Roux, T. Barthel, I. P. McCulloch, C. Kollath, U. Schollwock, and T. Giamarchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023628 78, 023628 (2008).
28. T. Roscilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063605 77, 063605 (2008);
29. X. Deng, R. Citro, E. Orignac, and A. Minguzzi, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00069-7 68, 435 (2009).
30. T. Paul, M. Albert, P. Schlagheck, P. Leboeuf, and N. Pavloff, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033615 80, 033615 (2009).
31. A. S. Pikovsky and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.094101 100, 094101 (2008);
32. S. Flach, D. O. Krimer, and Ch. Skokos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.024101 102, 024101 (2009);
33. I. García-Mata and D. L. Shepelyansky, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.026205 79, 026205 (2009);
34. Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.056211 79, 056211 (2009).
35. J. Biddle, B. Wang, D. J. Priour Jr., and S. Das Sarma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.021603 80, 021603 (R) (2009).
36. E. P. Gross, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02731494 20, 454 (1961);
37. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961)
38. L. P. Pitaevskii, [Sov. Phys. JETP 13, 451 (1961)].
39. T. Schwartz, Nature (London) NATUAS 0028-0836 10.1038/nature05623 446, 52 (2007);
40. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.013906 100, 013906 (2008);
41. Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 013901 103, 013901 (2009).
42. W. Hänsel, P. Hommelhoff, T. W. Hänsch, and J. Reichel, Nature (London) NATUAS 0028-0836 10.1038/35097032 413, 498 (2001).
43. Y. Shin, C. Sanner, G. B. Jo, T. A. Pasquini, M. Saba, W. Ketterle, D. E. Pritchard, M. Vengalattore, and M. Prentiss, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.021604 72, 021604 (R) (2005);
44. T. Schumm, Nature Physics PLRAAN 1745-2473 10.1038/nphys125 1, 57 (2005);
45. J. Estève, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2005- 00190-9 35, 141 (2005).
46. A. Wobst, G. L. Ingold, P. Hanggi, and D. Weinmann, Phys. Rev. B EPJDF6 1098-0121 10.1103/PhysRevB.68.085103 68, 085103 (2003).
47. G. Srinivasan, A. Aceves, and D. M. Tartakovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063806 77, 063806 (2008).
48. C. Fort, L. Fallani, V. Guarrera, J. E. Lye, M. Modugno, D. S. Wiersma, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170410 95, 170410 (2005);
49. D. R. Grempel, S. Fishman, and R. E. Prange, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.833 49, 833 (1982);
50. L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.130404 98, 130404 (2007);
51. P. Lugan, D. Clement, P. Bouyer, A. Aspect, M. Lewenstein, and L. Sanchez-Palencia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 170403 98, 170403 (2007);
52. N. Bilas and N. Pavloff, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2006-00166-3 40, 387 (2006);
53. C. Tang and M. Kohmoto, Phys. Rev. B EPJDF6 1098-0121 10.1103/PhysRevB.34.2041 34, 2041 (1986).
54. P. Lugan, D. Clement, P. Bouyer, A. Aspect, and L. Sanchez-Palencia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.180402 99, 180402 (2007);
55. J. E. Lye, L. Fallani, C. Fort, V. Guarrera, M. Modugno, D. S. Wiersma, and M. Inguscio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.061603 75, 061603 (R) (2007).
56. R. C. Kuhn, C. Miniatura, D. Delande, O. Sigwarth, and C. A. Muller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.250403 95, 250403 (2005);
57. S. E. Skipetrov, A. Minguzzi, B. A. van Tiggelen, and B. Shapiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.165301 100, 165301 (2008);
58. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.673 42, 673 (1979).
59. S. K. Adhikari and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.015602 79, 015602 (2009);
60. S. K. Adhikari and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043626 76, 043626 (2007);
61. S. K. Adhikari and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/79/50003 79, 50003 (2007);
62. S. K. Adhikari and B. A. Malomed, Physica D PDNPDT 0167-2789 10.1016/j.physd.2008.07.025 238, 1402 (2009).
63. F. Dalfovo and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.2477 53, 2477 (1996).
64. S. K. Adhikari, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.14623 54, 362 (1986).
65. P. Muruganandam and S. K. Adhikari, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2009.04.015 180, 1888 (2009).
66. V. M. Pérez-García, H. Michinel, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56. 1424 56, 1424 (1997).
67. P. Muruganandam and S. K. Adhikari, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/12/310 36, 2501 (2003);
68. S. K. Adhikari and P. Muruganandam, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/12/317 35, 2831 (2002);
69. S. K. Adhikari, Phys. Rev. E JPAPEH 1539-3755 10.1103/PhysRevE.62.2937 62, 2937 (2000);
70. S. K. Adhikari, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99) 00878-6 265, 91 (2000).
71. A. Soibel, Nature (London) NATUAS 0028-0836 10.1038/35018532 406, 282 (2000);
72. J. R. Abo-Shaeer, C. Raman, J. M. Vogels, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.1060182 292, 476 (2001).
73. S. Tung, V. Schweikhard, and E. A. Cornell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.240402 97, 240402 (2006).
74. S. K. Adhikari, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005. 07.044 346, 179 (2005);
75. V. M. Pérez-García and J. B. Beitia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033620 72, 033620 (2005).