Nonlinear Schrödinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Adhikari, S K ^a   Salasnich, L ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC BEAMS; ELECTRON SCATTERING; NONLINEAR EQUATIONS; QUANTUM ELECTRONICS; QUANTUM OPTICS; SCHRODINGER EQUATION;

HARMONIC CONFINEMENT; QUANTIZED VORTICES; SUPERFLUID BOSE GAS; WEAK COUPLING REGIME;

VORTEX FLOW;

EID: 41149163799     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.033618     Document Type: Article

References (74)

1. E. P. Gross, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02731494 20, 454 (1961)
2. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 40, 646 (1961)
3. L. P. Pitaevskii, [Sov. Phys. JETP SPHJAR 0038-5646 13, 451 (1961)].
4. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.463 71, 463 (1999).
5. S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1795 85, 1795 (2000)
6. 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).
7. A. Fabrocini and A. Polls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.2319 60, 2319 (1999)
8. A. Fabrocini and A. Polls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063610 64, 063610 (2001).
9. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957)
10. T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.1135 106, 1135 (1957).
11. L. Pitaevskii and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4541 81, 4541 (1998).
12. T. T. Wu, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.115.1390 115, 1390 (1959)
13. E. Braaten and A. Nieto, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050925 11, 143 (1999).
14. S. Cowell, H. Heiselberg, I. E. Mazets, J. Morales, V. R. Pandharipande, and C. J. Pethick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 210403 88, 210403 (2002).
15. H. Heiselberg, J. Phys. B 37, S141 (2004). 0022-3700
16. J. F. Annett, Superconductivity, Superfluids and Condensates (Oxford University Press, Oxford, 2004)
17. R. J. Donnelley, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, England, 1991).
18. C. Raman, J. R. Abo-Shaeer, J. M. Vogels, K. Xu, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.210402 87, 210402 (2001).
19. M. W. Zwierlein, J. R. Abo-Shaeer, A. Schirotzek, C. H. Schunck, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/nature03858 435, 1047 (2005).
20. F. Dalfovo and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.2477 53, 2477 (1996).
21. A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.3168 58, 3168 (1998).
22. D. S. Rokhsar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79. 2164 79, 2164 (1997).
23. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.2990 59, 2990 (1999).
24. K. Kasamatsu, M. Tsubota, and M. Ueda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.033610 67, 033610 (2003)
25. K. Kasamatsu, M. Machida, N. Sasa, and M. Tsubota, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.063616 71, 063616 (2005).
26. S. K. Adhikari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016703 65, 016703 (2001).
27. L. Salasnich, Laser Phys. 14, 291 (2004). 1054-660X
28. S. K. Adhikari, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/137 5, 137 (2003).
29. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043601 66, 043601 (2002)
30. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.063613 69, 063613 (2004).
31. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033616 65, 033616 (2002).
32. S. K. Adhikari and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.053603 75, 053603 (2007).
33. J. K. Nilsen, J. Mur-Petit, M. Guilleumas, M. Hjorth-Jensen, and A. Polls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053610 71, 053610 (2005).
34. S. K. Adhikari, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99) 00878-6 265, 91 (2000)
35. S. K. Adhikari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.2937 62, 2937 (2000).
36. S. E. Koonin and D. C. Meredith, Computational Physics Fortran Version (Addison-Wesley, Reading, 1990).
37. 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)
38. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.023601 64, 023601 (2001).
39. S. K. Adhikari and P. Muruganandam, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/12/317 35, 2831 (2002).
40. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
41. G. E. Volovik, in Proceedings of The Eleventh Marcel Grossmann Meeting on General Relativity, edited by, H. Kleinert, R. T. Jantzen, and, R. Ruffini, (World Scientific, Singapore, 2008).
42. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics (Pergamon Press, London, 1987), Vol. 6.
43. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 2: Theory of the Condensed State, Course of Theoretical Physics (Pergamon Press, London, 1987), Vol. 9.
44. W. Lenz, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01340138 56, 778 (1929).
45. H. Heiselberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043606 63, 043606 (2001)
46. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.053609 76, 053609 (2007).
47. E. Lipparini, Modern Many-Particle Physics: Atomic Gases, Quantum Dots and Quantum Fluids (World Scientific, Singapore, 2004).
48. L. Salasnich, S. K. Adhikari, and F. Toigo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.023616 75, 023616 (2007)
49. S. K. Adhikari and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023612 76, 023612 (2007).
50. N. Manini and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033625 71, 033625 (2005)
51. G. Diana, N. Manini, and L. Salasnich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.065601 73, 065601 (2006)
52. L. Salasnich and N. Manini, Laser Phys. LAPHEJ 1054-660X 10.1134/S1054660X07020211 17, 169 (2007).
53. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013606 70, 013606 (2004)
54. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.025602 72, 025602 (2005).
55. G. V. Chester, R. Metz, and L. Reatto, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.175.275 175, 275 (1968).
56. F. Dalfovo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.5482 46, 5482 (1992).
57. S. Stringari and J. Treiner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.8369 36, 8369 (1987).
58. M. Sadd, G. V. Chester, and L. Reatto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2490 79, 2490 (1997).
59. M. Tsubota, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 10.1088/1742-6596/31/1/ 014, 31, 88 (2006)
60. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.806 84, 806 (2000)
61. N. G. Berloff and P. H. Roberts, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00516-8 274, 69 (2000)
62. K. Staliunas, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400000337 71, 555 (2000).
63. 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).
64. M. Cozzini and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.070401 91, 070401 (2003).
65. R. Combescot and X. Leyronas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.138901 93, 138901 (2004).
66. E. A. Donley, N. R. Claussen, S. L. Cornish, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Nature (London) NATUAS 0028-0836 10.1038/35085500 412, 295 (2001)
67. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013611 66, 013611 (2002)
68. C. M. Savage, N. P. Robins, and J. J. Hope, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.014304 67, 014304 (2003)
69. W. Bao, D. Jaksch, and P. A. Markowich, J. Phys. B 37, 329 (2004). 0022-3700
70. L. Khaykovich, Science SCIEAS 0036-8075 10.1126/science.1071021 296, 1290 (2002)
71. K. E. Strecker, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002).
72. A. Banerjee and M. P. Singh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043609 66, 043609 (2002);
73. A. Banerjee and M. P. Singh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033607 73, 033607 (2006);
74. G. S. Nunes, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/32/17/312 32, 4293 (1999).