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Volumn 88, Issue 1, 2013, Pages

Stationary solutions for the 1+1 nonlinear Schrödinger equation modeling repulsive Bose-Einstein condensates in small potentials

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC EQUATIONS; BOSE-EINSTEIN CONDENSATES; DINGER EQUATION; JACOBI ELLIPTIC FUNCTION; NONLINEAR PERTURBATIONS; PERTURBATION METHOD; PERTURBATION THEORY; STATIONARY SOLUTIONS;

EID: 84881192660     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.013205     Document Type: Article
Times cited : (18)

References (61)
  • 5
    • 0348226590 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(98)00297-8
    • M. Kunze, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00297-8 128, 273 (1999);
    • (1999) Physica D , vol.128 , pp. 273
    • Kunze, M.1
  • 8
    • 0000514946 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.61.5852
    • F. Barra, P. Gaspard, and S. Rica, Phys. Rev. E 1063-651X 10.1103/PhysRevE.61.5852 61, 5852 (2000).
    • (2000) Phys. Rev. e , vol.61 , pp. 5852
    • Barra, F.1    Gaspard, P.2    Rica, S.3
  • 9
    • 0034832495 scopus 로고    scopus 로고
    • Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential
    • DOI 10.1103/PhysRevLett.86.1402
    • J. C. Bronski, L. D. Carr, B. Deconinck, and J. N. Kutz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1402 86, 1402 (2001). (Pubitemid 32873600)
    • (2001) Physical Review Letters , vol.86 , Issue.8 , pp. 1402-1405
    • Bronski, J.C.1    Carr, L.D.2    Deconinck, B.3    Kutz, J.N.4
  • 10
    • 0032573369 scopus 로고    scopus 로고
    • 10.1126/science.282.5394.1686
    • B. P. Anderson and M. A. Kasevich, Science 10.1126/science.282.5394.1686 282, 1686 (1998);
    • (1998) Science , vol.282 , pp. 1686
    • Anderson, B.P.1    Kasevich, M.A.2
  • 15
    • 0001082862 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.82.2022
    • D.-I. Choi and Q. Niu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2022 82, 2022 (1999).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 2022
    • Choi, D.-I.1    Niu, Q.2
  • 21
    • 84863713626 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.86.013612
    • H. Cartarius and G. Wunner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.86.013612 86, 013612 (2012).
    • (2012) Phys. Rev. A , vol.86 , pp. 013612
    • Cartarius, H.1    Wunner, G.2
  • 22
    • 4243847600 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.043609
    • R. D'Agosta and C. Presilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043609 65, 043609 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 043609
    • D'Agosta, R.1    Presilla, C.2
  • 23
    • 84866065751 scopus 로고    scopus 로고
    • JFLSA7 0022-1120 10.1017/jfm.2012.308
    • R. A. Van Gorder, J. Fluid Mech. JFLSA7 0022-1120 10.1017/jfm.2012.308 707, 585 (2012);
    • (2012) J. Fluid Mech. , vol.707 , pp. 585
    • Van Gorder, R.A.1
  • 24
    • 84870334701 scopus 로고    scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.128.993
    • R. A. Van Gorder, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.128.993 128, 993 (2012);
    • (2012) Prog. Theor. Phys. , vol.128 , pp. 993
    • Van Gorder, R.A.1
  • 25
    • 84868344002 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.86.057301
    • R. A. Van Gorder, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86. 057301 86, 057301 (2012).
    • (2012) Phys. Rev. e , vol.86 , pp. 057301
    • Van Gorder, R.A.1
  • 26
    • 84869035237 scopus 로고    scopus 로고
    • JHEPFG 1029-8479 10.1007/JHEP11(2012)032
    • R.-J. Lange, J. High Energy Phys. JHEPFG 1029-8479 10.1007/JHEP11(2012) 032 11 (2012) 032.
    • J. High Energy Phys. , vol.2012 , Issue.11 , pp. 032
    • Lange, R.-J.1
  • 27
    • 0000558376 scopus 로고
    • AJPIAS 0002-9505 10.1119/1.16866
    • W. van Dijk and K. A. Kiers, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.16866 60, 520 (1992);
    • (1992) Am. J. Phys. , vol.60 , pp. 520
    • Van Dijk, W.1    Kiers, K.A.2
  • 29
    • 0042887509 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.030402
    • N. Regnault and T. Jolicoeur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.030402 91, 030402 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 030402
    • Regnault, N.1    Jolicoeur, T.2
  • 30
    • 18144402005 scopus 로고    scopus 로고
    • Dynamics of a bright soliton in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic potential
    • DOI 10.1103/PhysRevLett.94.050402, 050402
    • Z. X. Liang, Z. D. Zhang, and W. M. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.050402 94, 050402 (2005); (Pubitemid 40620822)
    • (2005) Physical Review Letters , vol.94 , Issue.5 , pp. 1-4
    • Liang, Z.X.1    Zhang, Z.D.2    Liu, W.M.3
  • 31
    • 0034239087 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.62.2937
    • S. K. Adhikari, Phys. Rev. E 1063-651X 10.1103/PhysRevE.62.2937 62, 2937 (2000);
    • (2000) Phys. Rev. e , vol.62 , pp. 2937
    • Adhikari, S.K.1
  • 33
    • 0037408314 scopus 로고    scopus 로고
    • Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
    • DOI 10.1016/S0021-9991(03)00102-5
    • W. Bao, D. Jaksch, and P. A. Markowich, J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(03)00102-5 187, 318 (2003). (Pubitemid 36515583)
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 318-342
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 35
    • 0000056962 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(93)90816-I
    • M. Landtman, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(93)90816-I 175, 147 (1993);
    • (1993) Phys. Lett. A , vol.175 , pp. 147
    • Landtman, M.1
  • 36
    • 0035672265 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.64.063608
    • A. L. Fetter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063608 64, 063608 (2001).
    • (2001) Phys. Rev. A , vol.64 , pp. 063608
    • Fetter, A.L.1
  • 37
    • 12144268141 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.34.57
    • P. M. Morse, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.34.57 34, 57 (1929).
    • (1929) Phys. Rev. , vol.34 , pp. 57
    • Morse, P.M.1
  • 38
    • 0036470837 scopus 로고    scopus 로고
    • The distance fluctuation criterion for melting: Comparison of square-well and Morse potential models for clusters and homopolymers
    • DOI 10.1063/1.1426419
    • Y. Zhou, M. Karplus, K. D. Ball, and R. S. Bery, J. Chem. Phys. 10.1063/1.1426419 116, 2323 (2002). (Pubitemid 34159939)
    • (2002) Journal of Chemical Physics , vol.116 , Issue.5 , pp. 2323-2329
    • Zhou, Y.1    Karplus, M.2    Ball, K.D.3    Berry, R.S.4
  • 39
    • 0000194482 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.36.910
    • W. C. Stwalley and L. H. Nosanow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.36.910 36, 910 (1976);
    • (1976) Phys. Rev. Lett. , vol.36 , pp. 910
    • Stwalley, W.C.1    Nosanow, L.H.2
  • 40
    • 0001101524 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.60.1451
    • B. D. Esry and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.1451 60, 1451 (1999).
    • (1999) Phys. Rev. A , vol.60 , pp. 1451
    • Esry, B.D.1    Greene, C.H.2
  • 43
    • 0037026477 scopus 로고    scopus 로고
    • Collapse and revival of the matter wave field of a Bose-Einstein condensate
    • DOI 10.1038/nature00968
    • M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002); (Pubitemid 34987866)
    • (2002) Nature , vol.419 , Issue.6902 , pp. 51-54
    • Greiner, M.1    Mandel, O.2    Hansch, T.W.3    Bloch, I.4
  • 44
    • 0035937469 scopus 로고    scopus 로고
    • Squeezed states in a Bose-Einstein condensate
    • DOI 10.1126/science.1058149
    • C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.1058149 291, 2386 (2001); (Pubitemid 32231795)
    • (2001) Science , vol.291 , Issue.5512 , pp. 2386-2389
    • Orzel, C.1    Tuchman, A.K.2    Fenselau, M.L.3    Yasuda, M.4    Kasevich, M.A.5
  • 45
    • 42749100631 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.70.036213
    • G. Chong, W. Hai, and Q. Xie, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.036213 70, 036213 (2004).
    • (2004) Phys. Rev. e , vol.70 , pp. 036213
    • Chong, G.1    Hai, W.2    Xie, Q.3
  • 49
    • 0035968757 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.180402
    • L. Pitaevskii and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.180402 87, 180402 (2001);
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 180402
    • Pitaevskii, L.1    Stringari, S.2
  • 50
    • 0001874254 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.58.R50
    • J. Ruostekoski and D. F. Walls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.R50 58, R50 (1998);
    • (1998) Phys. Rev. A , vol.58 , pp. 50
    • Ruostekoski, J.1    Walls, D.F.2
  • 51
    • 0000326729 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.59.3868
    • R. W. Spekkens and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3868 59, 3868 (1999);
    • (1999) Phys. Rev. A , vol.59 , pp. 3868
    • Spekkens, R.W.1    Sipe, J.E.2
  • 53
    • 45149108806 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/nature07071
    • G. Roati, Nature (London) NATUAS 0028-0836 10.1038/nature07071 453, 895 (2005);
    • (2005) Nature (London) , vol.453 , pp. 895
    • Roati, G.1
  • 55
    • 4744359665 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.68.023613
    • A. Smerzi and A. Trombettoni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023613 68, 023613 (2003);
    • (2003) Phys. Rev. A , vol.68 , pp. 023613
    • Smerzi, A.1    Trombettoni, A.2
  • 58
    • 33846688111 scopus 로고    scopus 로고
    • EPJDF6 1434-6060 10.1140/epjd/e2006-00226-8
    • J. Brand and A. R. Kolovsky, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2006-00226-8 41, 331 (2007).
    • (2007) Eur. Phys. J. D , vol.41 , pp. 331
    • Brand, J.1    Kolovsky, A.R.2
  • 60
    • 84878952222 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.7566/JPSJ.82.064005
    • R. A. Van Gorder, J. Phys. Soc. Japan JUPSAU 0031-9015 10.7566/JPSJ.82.064005 82, 064005 (2013).
    • (2013) J. Phys. Soc. Japan , vol.82 , pp. 064005
    • Van Gorder, R.A.1


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