Dynamics of two-dimensional dark quasisolitons in a smoothly inhomogeneous Bose-Einstein condensate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 85, Issue 5, 2012, Pages

  Smirnov, L A ^a   Mironov, V A ^a  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC THEORIES; BOSE-EINSTEIN CONDENSATES; EFFECTIVE REFRACTIVE INDEX; GROSS-PITAEVSKII EQUATION; INHOMOGENEITIES; INITIAL ENERGY; ISOTROPIC MEDIUM; QUASISOLITONS; REPULSIVE INTERACTIONS;

ASYMPTOTIC ANALYSIS; COMPUTERIZED TOMOGRAPHY; DYNAMICS; STEAM CONDENSERS; TWO DIMENSIONAL;

REFRACTIVE INDEX;

EID: 84861553193     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.85.053620     Document Type: Article

References (62)

1. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation, 2nd ed. (Clarendon, Oxford, 2003).
2. C. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, 2nd ed. (Cambridge University Press, Cambridge, England, 2008).
3. H. T. C. Stoof, K. B. Gubbels, and D. B. M. Dickerscheid, Ultracold Quantum Fields (Springer and Canopus, Bristol, 2009).
4. P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-González, Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Springer, Berlin, Heidelberg, 2008).
5. C. F. Barenghi, R. J. Donnelly, and W. F. E. Vinen, Quantized Vortex Dynamics and Superfluid Turbulence (Springer-Verlag, Berlin, Heidelberg, 2001).
6. A. Aftalion, Vortices in Bose-Einstein Condensates (Birkhäuser, Boston, 2006).
7. R. Srinivasan, Pramana - J. Phys. PRAMCI 0304-4289 10.1007/BF02704934 66, 3 (2006).
8. B. P. Anderson, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-010- 0224-1 161, 574 (2010).
9. V. A. Mironov, A. I. Smirnov, and L. A. Smirnov, JETP JTPHES 1063-7761 10.1134/S1063776110050195 110, 877 (2010), and references therein.
10. V. A. Mironov, A. I. Smirnov, and L. A. Smirnov, JETP JTPHES 1063-7761 10.1134/S1063776110061135 112, 46 (2011), and references therein.
11. P. G. Kevrekidis, R. Carretero-González, D. J. Frantzeskakis, and I. G. Kevrekidis, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007967 18, 1481 (2004). (Pubitemid 40292039)
12. A. L. Fetter and A. A. Svidzinsky, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/12/201 13, R135 (2001). (Pubitemid 32317447)
13. A. L. Fetter, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.647 81, 647 (2009).
14. A. L. Fetter, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-010- 0202-7 161, 445 (2010).
15. M. Tsubota, J. Phys.: Conf. Ser. 1742-6588 10.1088/1742-6596/31/1/014 31, 88 (2006). (Pubitemid 43486690)
16. B. Halperin, M. Tsubota, and W. P. E. Halperin, Progress in Low Temperature Physics: Quantum Turbulence (Elsevier, Amsterdam, 2008).
17. M. Kobayashi and M. Tsubota, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.045603 76, 045603 (2007). (Pubitemid 350049854)
18. M. Tsubota, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/16/164207 21, 164207 (2009).
19. R. Numasato, M. Tsubota, and V. S. L'vov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063630 81, 063630 (2010).
20. N. Sasa, T. Kano, M. Machida, V. S. L'vov, O. Rudenko, and M. Tsubota, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.054525 84, 054525 (2011).
21. S. Nazarenko and M. Onorato, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.05.007 219, 1 (2006). (Pubitemid 44015932)
22. S. Nazarenko and M. Onorato, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-006-9271-z 146, 31 (2007). (Pubitemid 46092087)
23. D. Proment, S. Nazarenko, and M. Onorato, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.051603 80, 051603 (2009).
24. A. C. White, C. F. Barenghi, N. P. Proukakis, A. J. Youd, and D. H. Wacks, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.075301 104, 075301 (2010).
25. T. P. Simula, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.021603 84, 021603 (2011).
26. M. S. Paoletti and D. P. Lathrop, Annu. Rev. Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-062910-140533 2, 213 (2011).
27. T. W. Neely, E. C. Samson, A. S. Bradley, M. J. Davis, and B. P. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.160401 104, 160401 (2010).
28. D. V. Freilich, D. M. Bianchi, A. M. Kaufman, T. K. Langin, and D. S. Hall, Science SCIEAS 0036-8075 10.1126/science.1191224 329, 1182 (2010).
29. S. Middelkamp, P. J. Torres, P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, P. Schmelcher, D. V. Freilich, and D. S. Hall, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.011605 84, 011605 (2011).
30. S. Middelkamp, P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, and P. Schmelcher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.013646 82, 013646 (2010).
31. P. J. Torres, P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González, P. Schmelcher, and D. S. Hall, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2011.06.061 375, 3044 (2011).
32. P. J. Torres, R. Carretero-González, S. Middelkamp, P. Schmelcher, D. J. Frantzeskakis, and P. G. Kevrekidis, Commun. Pure Appl. Anal. 1534-0392 10.3934/cpaa.2011.10.1589 10, 1589 (2011).
33. J. Stockhofe, S. Middelkamp, P. G. Kevrekidis, and P. Schmelcher, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/93/20008 93, 20008 (2011).
34. C. A. Jones and P. H. Roberts, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/15/8/036 15, 2599 (1982).
35. C. A. Jones, S. J. Putterman, and P. H. Roberts, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/19/15/023 19, 2991 (1986).
36. E. A. Kuznetsov and J. J. Rasmussen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.4479 51, 4479 (1995).
37. N. G. Berloff, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/37/5/011 37, 1617 (2004). (Pubitemid 38214176)
38. N. G. Berloff and P. H. Roberts, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/37/47/003 37, 11333 (2004). (Pubitemid 39621098)
39. S. Tsuchiya, F. Dalfovo, C. Tozzo, and L. Pitaevskii, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-007-9400-3 148, 393 (2007). (Pubitemid 47023927)
40. S. Tsuchiya, F. Dalfovo, and L. Pitaevskii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.045601 77, 045601 (2008). (Pubitemid 351490821)
41. G. Huang, V. A. Makarov, and M. G. Velarde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.023604 67, 023604 (2003).
42. S. V. Manakov, V. E. Zakharov, L. A. Bordag, A. R. Its, and V. B. Matveev, Phys. Lett. 63, 3 (1977).
43. J. Satsuma and M. J. Ablowitz, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524208 20, 1496 (1979).
44. M. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, 1981).
45. M. Ablowitz and P. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, England, 1991).
46. J. C. Neu, Physica D PDNPDT 0167-2789 10.1016/0167-2789(90)90143-D 43, 385 (1990).
47. F. Lund, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(91)90518-D 159, 245 (1991).
48. L. M. Pismen and J. Rubinstein, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90035-8 47, 353 (1991).
49. L. M. Pismen and J. Rubinstein, Physica D PDNPDT 0167-2789 10.1016/0167-2789(94)00119-7 78, 1 (1994).
50. N. Ercolani and R. Montgometry, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90290-G 180, 402 (1993).
51. H. Lamb, Hydrodynamics, sixth ed. (Cambridge University Press, Cambridge, England, 1932).
52. V. E. Zakharov and E. A. Kuznetsov, Physica D PDNPDT 0167-2789 10.1016/0167-2789(86)90214-9 18, 455 (1986).
53. Y. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(98)00149-7 152, 198 (1998).
54. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (Courier Dover, New York, 2000).
55. M. Abraham, I. Aranson, and B. Galanti, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.R7018 52, R7018 (1995).
56. I. Ivonin, JETP JTPHES 1063-7761 10.1134/1.558409 85, 1233 (1997). (Pubitemid 128011175)
57. H. Sakaguchi and T. Higashiuchi, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.07.039 359, 647 (2006). (Pubitemid 44634227)
58. T. Higashiuchi and H. Sakaguchi, Laser Phys. LAPHEJ 1054-660X 10.1134/S1054660X07020296 17, 221 (2007).
59. A. Klein, D. Jaksch, Y. Zhang, and W. Bao, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043602 76, 043602 (2007). (Pubitemid 47531132)
60. Y. Zhang, W. Bao, and Q. Du, Eur. J. Appl. Math. 0956-7925 10.1017/S0956792507007140 18, 607 (2007).
61. Y. Zhang, W. Bao, and Q. Du, SIAM J. Appl. Math. 67, 1740 (2007).
62. T. Aioi, T. Kadokura, T. Kishimoto, and H. Saito, Phys. Rev. X 2160-3308 10.1103/PhysRevX.1.021003 1, 021003 (2011).