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Volumn 239, Issue 7, 2010, Pages 366-386

Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters

Author keywords

Bose Einstein condensates; Gross Pitaevskii equation; Nonlinear Schr dinger equation; Soliton solutions

Indexed keywords

BOSE-EINSTEIN CONDENSATION; KINETIC ENERGY; KINETICS; NONLINEAR EQUATIONS; STATISTICAL MECHANICS; WAVE EFFECTS; WAVE FUNCTIONS;

EID: 74849121955     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.12.005     Document Type: Article
Times cited : (65)

References (74)
  • 2
    • 6244269109 scopus 로고    scopus 로고
    • Bose-Einstein condensation in a dilute gas: Measurement of energy and ground-state occupation
    • Ensher J.R., Jin D.S., Matthews M.R., Wieman C.E., and Cornell E.A. Bose-Einstein condensation in a dilute gas: Measurement of energy and ground-state occupation. Phys. Rev. Lett. 77 (1996) 4984-4987
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4984-4987
    • Ensher, J.R.1    Jin, D.S.2    Matthews, M.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 3
    • 0037065010 scopus 로고    scopus 로고
    • Dynamics of a single vortex line in a Bose-Einstein condensate
    • Rosenbusch P., Bretin V., and Dalibard J. Dynamics of a single vortex line in a Bose-Einstein condensate. Phys. Rev. Lett. 89 (2002) 200403
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 200403
    • Rosenbusch, P.1    Bretin, V.2    Dalibard, J.3
  • 4
    • 0037046529 scopus 로고    scopus 로고
    • Formation and propagation of matter-wave soliton trains
    • Strecker K.E., Partridge G.B., Truscott A.G., and Hulet R.G. Formation and propagation of matter-wave soliton trains. Nature 417 (2002) 150-153
    • (2002) Nature , vol.417 , pp. 150-153
    • Strecker, K.E.1    Partridge, G.B.2    Truscott, A.G.3    Hulet, R.G.4
  • 6
    • 33646337412 scopus 로고    scopus 로고
    • Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates
    • Cornish S.L., Thompson T., and Wieman C.E. Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates. Phys. Rev. Lett. 96 (2006) 170401
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 170401
    • Cornish, S.L.1    Thompson, T.2    Wieman, C.E.3
  • 11
    • 18044388539 scopus 로고    scopus 로고
    • Observation of hybrid soliton vortex-ring structures in Bose-Einstein condensates
    • Ginsberg N.S., Brand J., and Hau L.V. Observation of hybrid soliton vortex-ring structures in Bose-Einstein condensates. Phys. Rev. Lett. 94 (2005) 40403
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 40403
    • Ginsberg, N.S.1    Brand, J.2    Hau, L.V.3
  • 13
    • 0000324908 scopus 로고    scopus 로고
    • Nonlinear effects in interference of Bose-Einstein condensates
    • Liu W.-M., Wu B., and Niu Q. Nonlinear effects in interference of Bose-Einstein condensates. Phys. Rev. Lett. 84 (2000) 2294-2297
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2294-2297
    • Liu, W.-M.1    Wu, B.2    Niu, Q.3
  • 15
    • 0000515840 scopus 로고
    • Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms
    • Ruprecht P.A., Holland M.J., Burnett K., and Edwards M. Time-dependent solution of the nonlinear Schrödinger equation for Bose-condensed trapped neutral atoms. Phys. Rev. A 51 (1995) 4704-4711
    • (1995) Phys. Rev. A , vol.51 , pp. 4704-4711
    • Ruprecht, P.A.1    Holland, M.J.2    Burnett, K.3    Edwards, M.4
  • 16
    • 0043222983 scopus 로고    scopus 로고
    • Bose-Einstein solitons in highly asymmetric traps
    • Pérez-García V.M., Michinel H., and Herrero H. Bose-Einstein solitons in highly asymmetric traps. Phys. Rev. A 57 (1998) 3837-3842
    • (1998) Phys. Rev. A , vol.57 , pp. 3837-3842
    • Pérez-García, V.M.1    Michinel, H.2    Herrero, H.3
  • 17
    • 0000385916 scopus 로고    scopus 로고
    • Motion of dark solitons in trapped Bose-Einstein condensates
    • Busch T., and Anglin J.R. Motion of dark solitons in trapped Bose-Einstein condensates. Phys. Rev. Lett. 84 (2000) 2298-2301
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2298-2301
    • Busch, T.1    Anglin, J.R.2
  • 18
    • 4243774619 scopus 로고    scopus 로고
    • Discrete solitons and breathers with dilute Bose-Einstein condensates
    • Trombettoni A., and Smerzi A. Discrete solitons and breathers with dilute Bose-Einstein condensates. Phys. Rev. Lett. 86 (2001) 2353-2356
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2353-2356
    • Trombettoni, A.1    Smerzi, A.2
  • 19
    • 0142008247 scopus 로고    scopus 로고
    • Modulational instability and complex dynamics of confined matter-wave solitons
    • Salasnich L., Parola A., and Reatto L. Modulational instability and complex dynamics of confined matter-wave solitons. Phys. Rev. Lett. 91 (2003) 080405
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 080405
    • Salasnich, L.1    Parola, A.2    Reatto, L.3
  • 27
    • 4243824624 scopus 로고    scopus 로고
    • Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates
    • Salasnich L., Parola A., and Reatto L. Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates. Phys. Rev. A 65 (2002) 043614
    • (2002) Phys. Rev. A , vol.65 , pp. 043614
    • Salasnich, L.1    Parola, A.2    Reatto, L.3
  • 28
    • 7544243527 scopus 로고    scopus 로고
    • Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates
    • Brazhnyi V.A., and Konotop V.V. Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates. Phys. Rev. A 68 (2003) 043613
    • (2003) Phys. Rev. A , vol.68 , pp. 043613
    • Brazhnyi, V.A.1    Konotop, V.V.2
  • 29
    • 0034619832 scopus 로고    scopus 로고
    • Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions
    • Gerton J.M., Strekalov D., Prodan I., and Hulet R.G. Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions. Nature 408 (2000) 692-695
    • (2000) Nature , vol.408 , pp. 692-695
    • Gerton, J.M.1    Strekalov, D.2    Prodan, I.3    Hulet, R.G.4
  • 32
    • 4244050123 scopus 로고    scopus 로고
    • Quantum kinetic theory of condensate growth: Comparison of experiment and theory
    • Gardiner C.W., Lee M.D., Ballagh R.J., Davis M.J., and Zoller P. Quantum kinetic theory of condensate growth: Comparison of experiment and theory. Phys. Rev. Lett. 81 (1998) 5266-5269
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5266-5269
    • Gardiner, C.W.1    Lee, M.D.2    Ballagh, R.J.3    Davis, M.J.4    Zoller, P.5
  • 33
    • 0034271165 scopus 로고    scopus 로고
    • Quantum kinetic theory: The growth of a Bose-Einstein condensate
    • Lee M.D., and Gardiner C.W. Quantum kinetic theory: The growth of a Bose-Einstein condensate. Phys. Rev. A 62 (2000) 033606
    • (2000) Phys. Rev. A , vol.62 , pp. 033606
    • Lee, M.D.1    Gardiner, C.W.2
  • 34
    • 0034270122 scopus 로고    scopus 로고
    • Criterion for Bose-Einstein condensation for particles in traps
    • Pethick C.J., and Pitaevskii L.P. Criterion for Bose-Einstein condensation for particles in traps. Phys. Rev. A 62 (2000) 033609
    • (2000) Phys. Rev. A , vol.62 , pp. 033609
    • Pethick, C.J.1    Pitaevskii, L.P.2
  • 35
    • 4243779945 scopus 로고    scopus 로고
    • Asymptotic solutions to the Gross-Pitaevskii gain equation: Growth of a Bose-Einstein condensate
    • Drummond P.D., and Kheruntsyan K.V. Asymptotic solutions to the Gross-Pitaevskii gain equation: Growth of a Bose-Einstein condensate. Phys. Rev. A 63 (2000) 013605
    • (2000) Phys. Rev. A , vol.63 , pp. 013605
    • Drummond, P.D.1    Kheruntsyan, K.V.2
  • 37
    • 4243348797 scopus 로고    scopus 로고
    • Analytic expressions for the stochastic amplitude equation for Taylor-Couette flow
    • Treiber M. Analytic expressions for the stochastic amplitude equation for Taylor-Couette flow. Phys. Rev. E 53 (1996) 577-585
    • (1996) Phys. Rev. E , vol.53 , pp. 577-585
    • Treiber, M.1
  • 38
    • 0034319701 scopus 로고    scopus 로고
    • Novel soliton solutions of the nonlinear Schrödinger equation model
    • Serkin V.N., and Hasegawa A. Novel soliton solutions of the nonlinear Schrödinger equation model. Phys. Rev. Lett. 85 (2000) 4502-4505
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 4502-4505
    • Serkin, V.N.1    Hasegawa, A.2
  • 39
    • 0037628779 scopus 로고    scopus 로고
    • Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients
    • Kruglov V.I., Peacock A.C., and Harvey J.D. Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients. Phys. Rev. Lett. 90 (2003) 113902
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 113902
    • Kruglov, V.I.1    Peacock, A.C.2    Harvey, J.D.3
  • 40
    • 33646794052 scopus 로고    scopus 로고
    • Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation
    • Atre R., Panigrahi P.K., and Agarwal G.S. Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation. Phys. Rev. E 73 (2006) 056611
    • (2006) Phys. Rev. E , vol.73 , pp. 056611
    • Atre, R.1    Panigrahi, P.K.2    Agarwal, G.S.3
  • 45
    • 18444417713 scopus 로고    scopus 로고
    • rf-induced Sisyphus cooling in a magnetic trap
    • Janis J., Banks M., and Bigelow N.P. rf-induced Sisyphus cooling in a magnetic trap. Phys. Rev. A 71 (2005) 013422
    • (2005) Phys. Rev. A , vol.71 , pp. 013422
    • Janis, J.1    Banks, M.2    Bigelow, N.P.3
  • 46
    • 0037473892 scopus 로고    scopus 로고
    • Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate
    • Saito H., and Ueda M. Dynamically stabilized bright solitons in a two-dimensional Bose-Einstein condensate. Phys. Rev. Lett. 90 (2003) 040403
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 040403
    • Saito, H.1    Ueda, M.2
  • 47
    • 0037242035 scopus 로고    scopus 로고
    • Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
    • Abdullaev F.K., Caputo J.G., Kraenkel R.A., and Malomed B.A. Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length. Phys. Rev. A 67 (2003) 013605
    • (2003) Phys. Rev. A , vol.67 , pp. 013605
    • Abdullaev, F.K.1    Caputo, J.G.2    Kraenkel, R.A.3    Malomed, B.A.4
  • 48
    • 4043048844 scopus 로고    scopus 로고
    • Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
    • Adhikari S.K. Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length. Phys. Rev. A 69 (2004) 063613
    • (2004) Phys. Rev. A , vol.69 , pp. 063613
    • Adhikari, S.K.1
  • 49
    • 27744529622 scopus 로고    scopus 로고
    • Collapse of solutions of the nonlinear Schrödinger equation with a time-dependent nonlinearity: Application to Bose-Einstein condensates
    • Konotop V.V., and Pacciani P. Collapse of solutions of the nonlinear Schrödinger equation with a time-dependent nonlinearity: Application to Bose-Einstein condensates. Phys. Rev. Lett. 94 (2005) 240405
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 240405
    • Konotop, V.V.1    Pacciani, P.2
  • 50
    • 33748132618 scopus 로고    scopus 로고
    • Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients
    • Pérez-García V.M., Torres P.J., and Konotop V.V. Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients. Physica D 221 (2006) 31-36
    • (2006) Physica D , vol.221 , pp. 31-36
    • Pérez-García, V.M.1    Torres, P.J.2    Konotop, V.V.3
  • 52
    • 74849094173 scopus 로고    scopus 로고
    • M. Gurses, Integrable nonautonomous nonlinear Schrödinger equations. arXiv: 0704.2435(2007)
    • M. Gurses, Integrable nonautonomous nonlinear Schrödinger equations. arXiv: 0704.2435(2007)
  • 53
    • 58949093781 scopus 로고    scopus 로고
    • Integrable nonautonomous nonlinear Schrödinger equations are equivalent to the standard autonomous equation
    • Kundu A. Integrable nonautonomous nonlinear Schrödinger equations are equivalent to the standard autonomous equation. Phys. Rev. E 79 (2009) 015601
    • (2009) Phys. Rev. E , vol.79 , pp. 015601
    • Kundu, A.1
  • 54
    • 33746289249 scopus 로고    scopus 로고
    • Lax pairs of time-dependent Gross-Pitaevskii equation
    • Khawaja U.A. Lax pairs of time-dependent Gross-Pitaevskii equation. J. Phys. A: Math. Gen. 39 (2006) 9679-9691
    • (2006) J. Phys. A: Math. Gen. , vol.39 , pp. 9679-9691
    • Khawaja, U.A.1
  • 55
    • 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
    • Liang Z.X., Zhang Z.D., and Liu W.M. Dynamics of a bright soliton in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic potential. Phys. Rev. Lett. 94 (2005) 050402
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 050402
    • Liang, Z.X.1    Zhang, Z.D.2    Liu, W.M.3
  • 56
    • 49249134726 scopus 로고    scopus 로고
    • Solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential
    • Li B., Zhang X.-F., Li Y.-Q., Chen Y., and Liu W.M. Solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential. Phys. Rev. A 78 (2008) 023608
    • (2008) Phys. Rev. A , vol.78 , pp. 023608
    • Li, B.1    Zhang, X.-F.2    Li, Y.-Q.3    Chen, Y.4    Liu, W.M.5
  • 57
    • 27144439019 scopus 로고    scopus 로고
    • Controllable compression of bright soliton matter waves
    • Xue J.-K. Controllable compression of bright soliton matter waves. J. Phys. B: At. Mol. Opt. Phys. 38 (2005) 3841-3848
    • (2005) J. Phys. B: At. Mol. Opt. Phys. , vol.38 , pp. 3841-3848
    • Xue, J.-K.1
  • 59
    • 0035451027 scopus 로고    scopus 로고
    • Bright and dark solitary nonlinear bloch waves in dispersion managed fiber systems and soliton lasers
    • Serkin V.N., Matsumoto M., and Belyaeva T.L. Bright and dark solitary nonlinear bloch waves in dispersion managed fiber systems and soliton lasers. Opt. Commun. 196 (2001) 159-171
    • (2001) Opt. Commun. , vol.196 , pp. 159-171
    • Serkin, V.N.1    Matsumoto, M.2    Belyaeva, T.L.3
  • 60
    • 0036578630 scopus 로고    scopus 로고
    • Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: Application for soliton dispersion
    • Serkin V.N., and Hasegawa A. Exactly integrable nonlinear Schrödinger equation models with varying dispersion, nonlinearity and gain: Application for soliton dispersion. IEEE Selected Topics in Quant. Elec. 8 (2002) 418-431
    • (2002) IEEE Selected Topics in Quant. Elec. , vol.8 , pp. 418-431
    • Serkin, V.N.1    Hasegawa, A.2
  • 61
    • 29144465523 scopus 로고    scopus 로고
    • Dynamics of solitons in the model of nonlinear Schrödinger equation with an external harmonic potential: II. Dark solitons
    • Tenorio C.H., Vargas E.V., Serkin V.N., Granados M.A., Belyaeva T.L., Moreno R.P., and Lara L.M. Dynamics of solitons in the model of nonlinear Schrödinger equation with an external harmonic potential: II. Dark solitons. Quant. Elec. 35 (2005) 929-937
    • (2005) Quant. Elec. , vol.35 , pp. 929-937
    • Tenorio, C.H.1    Vargas, E.V.2    Serkin, V.N.3    Granados, M.A.4    Belyaeva, T.L.5    Moreno, R.P.6    Lara, L.M.7
  • 62
    • 33745789456 scopus 로고    scopus 로고
    • Do soliton like self-similar waves exist in nonlinear optical media?
    • Ponomarenko S.A., and Agrawal G.P. Do soliton like self-similar waves exist in nonlinear optical media?. Phys. Rev. Lett. 97 (2006) 013901
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 013901
    • Ponomarenko, S.A.1    Agrawal, G.P.2
  • 63
    • 50949120705 scopus 로고    scopus 로고
    • Integrability of the Gross-Pitaevskii equation with Feshbach resonance management
    • Zhao D., Luo H.-G., and Chai H.-Y. Integrability of the Gross-Pitaevskii equation with Feshbach resonance management. Phys. Lett. A 372 (2008) 5644-5650
    • (2008) Phys. Lett. A , vol.372 , pp. 5644-5650
    • Zhao, D.1    Luo, H.-G.2    Chai, H.-Y.3
  • 64
    • 66249107575 scopus 로고    scopus 로고
    • Transformation from the nonautonomous to standard NLS equations
    • Zhao D., He X.-G., and Luo H.-G. Transformation from the nonautonomous to standard NLS equations. Eur. Phys. J. D 53 (2009) 213-216
    • (2009) Eur. Phys. J. D , vol.53 , pp. 213-216
    • Zhao, D.1    He, X.-G.2    Luo, H.-G.3
  • 65
    • 66049104134 scopus 로고    scopus 로고
    • Dark-soliton stripes on a paraboloidal background in a bulk nonlinear medium
    • Zhao X., Li L., and Xu Z. Dark-soliton stripes on a paraboloidal background in a bulk nonlinear medium. Phys. Rev. A 79 (2009) 043827
    • (2009) Phys. Rev. A , vol.79 , pp. 043827
    • Zhao, X.1    Li, L.2    Xu, Z.3
  • 66
    • 4243877769 scopus 로고    scopus 로고
    • Adiabaticity in nonlinear quantum dynamics: Bose-Einstein condensate in a time-varying box
    • Band Y.B., Malomed B., and Trippenbach M. Adiabaticity in nonlinear quantum dynamics: Bose-Einstein condensate in a time-varying box. Phys. Rev. A 65 (2002) 033607
    • (2002) Phys. Rev. A , vol.65 , pp. 033607
    • Band, Y.B.1    Malomed, B.2    Trippenbach, M.3
  • 67
    • 3543051597 scopus 로고    scopus 로고
    • Bose-Einstein condensates in time-dependent light potentials: Adiabatic and nonadiabatic behavior of nonlinear wave equations
    • Band Y.B., and Trippenbach M. Bose-Einstein condensates in time-dependent light potentials: Adiabatic and nonadiabatic behavior of nonlinear wave equations. Phys. Rev. A 65 (2002) 053602
    • (2002) Phys. Rev. A , vol.65 , pp. 053602
    • Band, Y.B.1    Trippenbach, M.2
  • 68
    • 0042407578 scopus 로고    scopus 로고
    • Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity
    • Carr L.D., Clark C.W., and Reinhardt W.P. Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity. Phys. Rev. A 62 (2000) 063610
    • (2000) Phys. Rev. A , vol.62 , pp. 063610
    • Carr, L.D.1    Clark, C.W.2    Reinhardt, W.P.3
  • 70
    • 0000124770 scopus 로고
    • The nonlinear Schrödinger equation with dissipation and moment method
    • Pérez-García V.M., Porras M.A., and Vázquez L. The nonlinear Schrödinger equation with dissipation and moment method. Phys. Lett. A 202 (1995) 176-182
    • (1995) Phys. Lett. A , vol.202 , pp. 176-182
    • Pérez-García, V.M.1    Porras, M.A.2    Vázquez, L.3
  • 73
    • 0002557939 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-phase modulation of waves in nonlinear media
    • Zakharov V.E., and Shabat A.B. Exact theory of two-dimensional self-focusing and one-dimensional self-phase modulation of waves in nonlinear media. Sov. Phys. JETP. 34 (1972) 62-69
    • (1972) Sov. Phys. JETP. , vol.34 , pp. 62-69
    • Zakharov, V.E.1    Shabat, A.B.2
  • 74
    • 0000169358 scopus 로고
    • Interaction between solitons in a stable medium
    • Zakharov V.E., and Shabat A.B. Interaction between solitons in a stable medium. Sov. Phys. JETP. 37 (1973) 823-828
    • (1973) Sov. Phys. JETP. , vol.37 , pp. 823-828
    • Zakharov, V.E.1    Shabat, A.B.2


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