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Volumn 49, Issue 1-2, 2014, Pages 103-124

Segregation and symmetry breaking of strongly coupled two-component Bose-Einstein condensates in a harmonic trap

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EID: 84891903473     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-012-0571-7     Document Type: Article
Times cited : (29)

References (35)
  • 2
    • 84967774571 scopus 로고
    • Variational problems with two phases and their free boundaries
    • Alt H. W., Caffarelli L. A., Friedman A.: Variational problems with two phases and their free boundaries. Trans. Am. Math. Soc 282(2), 431-461 (1984).
    • (1984) Trans. Am. Math. Soc , vol.282 , Issue.2 , pp. 431-461
    • Alt, H.W.1    Caffarelli, L.A.2    Friedman, A.3
  • 4
    • 47749140681 scopus 로고    scopus 로고
    • Many-body physics with ultracold gases
    • Bloch I., Dalibard J., Zwerger W.: Many-body physics with ultracold gases. Rev. Mod. Phys. 80(885), 885-964 (2008).
    • (2008) Rev. Mod. Phys. , vol.80 , Issue.885 , pp. 885-964
    • Bloch, I.1    Dalibard, J.2    Zwerger, W.3
  • 5
    • 49549132663 scopus 로고
    • On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
    • Brascamp H. J., Lieb E. H.: On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal. 22, 366-389 (1976).
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.J.1    Lieb, E.H.2
  • 6
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • Brothers J., Ziemer W.: Minimal rearrangements of Sobolev functions. J. Reine Angew. Math. 384, 153-179 (1988).
    • (1988) J. Reine Angew. Math. , vol.384 , pp. 153-179
    • Brothers, J.1    Ziemer, W.2
  • 7
    • 0000430789 scopus 로고    scopus 로고
    • Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
    • Caffarelli A., Kenig C. E.: Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Am. J. Math. 120(2), 391-439 (1998).
    • (1998) Am. J. Math. , vol.120 , Issue.2 , pp. 391-439
    • Caffarelli, A.1    Kenig, C.E.2
  • 8
    • 71449121736 scopus 로고    scopus 로고
    • The geometry of solutions to a segregation problem for nondivergence systems
    • Caffarelli L. A., Karakhanyan A. L., Lin F.-H.: The geometry of solutions to a segregation problem for nondivergence systems. J. Fixed Point Theory Appl. 5, 319-351 (2009).
    • (2009) J. Fixed Point Theory Appl. , vol.5 , pp. 319-351
    • Caffarelli, L.A.1    Karakhanyan, A.L.2    Lin, F.-H.3
  • 9
    • 34247383085 scopus 로고    scopus 로고
    • An optimal partition problem for eigenvalues
    • Caffarelli L. A., Lin F.-H.: An optimal partition problem for eigenvalues. J. Sci. Comput. 31(1-2), 5-18 (2007).
    • (2007) J. Sci. Comput. , vol.31 , Issue.1-2 , pp. 5-18
    • Caffarelli, L.A.1    Lin, F.-H.2
  • 10
    • 58149361424 scopus 로고    scopus 로고
    • Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
    • Caffarelli L. A., Lin F.-H.: Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries. J. Am. Math. Soc. 21(3), 847-862 (2008).
    • (2008) J. Am. Math. Soc. , vol.21 , Issue.3 , pp. 847-862
    • Caffarelli, L.A.1    Lin, F.-H.2
  • 11
    • 4344617682 scopus 로고    scopus 로고
    • Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
    • Chang S.-M., Lin C.-S., Lin T.-C., Lin W.-W.: Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Physica D 196(3-4), 341-361 (2004).
    • (2004) Physica D , vol.196 , Issue.3-4 , pp. 341-361
    • Chang, S.-M.1    Lin, C.-S.2    Lin, T.-C.3    Lin, W.-W.4
  • 12
    • 18644361832 scopus 로고    scopus 로고
    • Asymptotic estimates for the spatial segregation of competitive systems
    • Conti M., Terracini S., Verzini G.: Asymptotic estimates for the spatial segregation of competitive systems. Adv. Math. 195(2), 524-560 (2005).
    • (2005) Adv. Math. , vol.195 , Issue.2 , pp. 524-560
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 13
    • 12144264150 scopus 로고    scopus 로고
    • On a class of optimal partition problem related to the Fučík spectrum and to the monotonicity formulae
    • Conti M., Terracini S., Verzini G.: On a class of optimal partition problem related to the Fučík spectrum and to the monotonicity formulae. Calc. Var. 22(1), 45-72 (2005).
    • (2005) Calc. Var. , vol.22 , Issue.1 , pp. 45-72
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 14
    • 23244445487 scopus 로고    scopus 로고
    • A variational problem for the spatial segregation of reaction-diffusion systems
    • Conti M., Terracini S., Verzini G.: A variational problem for the spatial segregation of reaction-diffusion systems. Indiana Univ. Math. J 54(3), 779-815 (2005).
    • (2005) Indiana Univ. Math. J , vol.54 , Issue.3 , pp. 779-815
    • Conti, M.1    Terracini, S.2    Verzini, G.3
  • 15
    • 0001256146 scopus 로고
    • Symétrisation dans l'espace de Gauss
    • Ehrhard A.: Symétrisation dans l'espace de Gauss. Math. Scand. 53(2), 281-301 (1983).
    • (1983) Math. Scand. , vol.53 , Issue.2 , pp. 281-301
    • Ehrhard, A.1
  • 16
    • 0000413834 scopus 로고
    • Inégalités isopérimetriques et intégrales de Dirichlet gaussiennes
    • Ehrhard A.: Inégalités isopérimetriques et intégrales de Dirichlet gaussiennes. Ann. Sci. École Norm. Sup. 17, 317-332 (1984).
    • (1984) Ann. Sci. École Norm. Sup. , vol.17 , pp. 317-332
    • Ehrhard, A.1
  • 18
    • 0000781489 scopus 로고    scopus 로고
    • Dynamics of component separation in a binary mixture of Bose-Einstein condensates
    • Hall D. S., Matthews M. R., Ensher J. R., Wieman C. E., Cornell E. A.: Dynamics of component separation in a binary mixture of Bose-Einstein condensates. Phys. Rev. Lett. 81(8), 1539-1542 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.8 , pp. 1539-1542
    • Hall, D.S.1    Matthews, M.R.2    Ensher, J.R.3    Wieman, C.E.4    Cornell, E.A.5
  • 19
    • 77950227969 scopus 로고    scopus 로고
    • Converse spectral problems for nodal domains
    • Helffer B., Hoffmann-Ostenhof T.: Converse spectral problems for nodal domains. Mosc. Math. J. 7(1), 67-84 (2007).
    • (2007) Mosc. Math. J. , vol.7 , Issue.1 , pp. 67-84
    • Helffer, B.1    Hoffmann-Ostenhof, T.2
  • 21
    • 32544460861 scopus 로고    scopus 로고
    • The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate
    • Ignat R., Millot V.: The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. J. Funct. Anal. 233, 260-306 (2006).
    • (2006) J. Funct. Anal. , vol.233 , pp. 260-306
    • Ignat, R.1    Millot, V.2
  • 22
    • 20944435767 scopus 로고    scopus 로고
    • Vortices in multicomponent Bose-Einstein condensates
    • Kasamatsu K., Tsubota M., Ueda M.: Vortices in multicomponent Bose-Einstein condensates. Int. J. Mod. Phys. B 19, 1835 (2005).
    • (2005) Int. J. Mod. Phys. B , vol.19 , pp. 1835
    • Kasamatsu, K.1    Tsubota, M.2    Ueda, M.3
  • 23
    • 4244060477 scopus 로고    scopus 로고
    • Macroscopic quantum tunneling of two-component Bose-Einstein condensates
    • Kasamatsu K., Yasui Y., Tsubota M.: Macroscopic quantum tunneling of two-component Bose-Einstein condensates. Phys. Rev. A 64, 053605 (2001).
    • (2001) Phys. Rev. A , vol.64 , pp. 053605
    • Kasamatsu, K.1    Yasui, Y.2    Tsubota, M.3
  • 25
    • 70350723472 scopus 로고    scopus 로고
    • Phase separation of two-component Bose-Einstein condensates
    • Liu Z.: Phase separation of two-component Bose-Einstein condensates. J. Math. Phys. 50(10), 102-104 (2009).
    • (2009) J. Math. Phys. , vol.50 , Issue.10 , pp. 102-104
    • Liu, Z.1
  • 26
    • 80052765060 scopus 로고    scopus 로고
    • Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate
    • Mason P., Aftalion A.: Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate. Phys. Rev. A 84(3), 033611 (2011).
    • (2011) Phys. Rev. A , vol.84 , Issue.3 , pp. 033611
    • Mason, P.1    Aftalion, A.2
  • 27
    • 4043146181 scopus 로고    scopus 로고
    • Dynamical response of a Bose-Einstein condensate to a discontinuous change in internal state
    • Matthews M. R., Hall D. S., Jin D. S., Ensher J. R., Wieman C. E., Cornell E. A.: Dynamical response of a Bose-Einstein condensate to a discontinuous change in internal state. Phys. Rev. Lett. 81(2), 243-247 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.2 , pp. 243-247
    • Matthews, M.R.1    Hall, D.S.2    Jin, D.S.3    Ensher, J.R.4    Wieman, C.E.5    Cornell, E.A.6
  • 28
    • 77951146882 scopus 로고    scopus 로고
    • Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition
    • Noris B., Tavares H., Terracini S., Verzini G.: Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition. Commun. Pure Appl. Math. 63(3), 267-302 (2010).
    • (2010) Commun. Pure Appl. Math. , vol.63 , Issue.3 , pp. 267-302
    • Noris, B.1    Tavares, H.2    Terracini, S.3    Verzini, G.4
  • 29
    • 48249130889 scopus 로고    scopus 로고
    • Tunable miscibility in a dual-species Bose-Einstein condensate
    • Papp S. B., Pino J. M., Wieman C. E.: Tunable miscibility in a dual-species Bose-Einstein condensate. Phys. Rev. Lett. 101(4), 040402 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , Issue.4 , pp. 040402
    • Papp, S.B.1    Pino, J.M.2    Wieman, C.E.3
  • 30
    • 0003222163 scopus 로고
    • Isoperimetric inequalities in mathematical physics
    • Princeton University Press, Princeton
    • Pólya G., Szego{double acute} G.: Isoperimetric inequalities in mathematical physics. Annals of mathematics studies, vol. 27. Princeton University Press, Princeton (1951).
    • (1951) Annals of mathematics studies , vol.27
    • Pólya, G.1    Szego, G.2
  • 31
    • 0037932537 scopus 로고
    • Symmetrization of condensers in n-space
    • Sarvas J.: Symmetrization of condensers in n-space. Ann. Acad. Sci. Fenn. A 522, 522 (1972).
    • (1972) Ann. Acad. Sci. Fenn. A , vol.522 , pp. 522
    • Sarvas, J.1
  • 34
    • 43049127175 scopus 로고    scopus 로고
    • Asymptotic behaviour of solutions of planar elliptic systems with strong competition
    • Wei J., Weth T.: Asymptotic behaviour of solutions of planar elliptic systems with strong competition. Nonlinearity 21(2), 305-317 (2008).
    • (2008) Nonlinearity , vol.21 , Issue.2 , pp. 305-317
    • Wei, J.1    Weth, T.2
  • 35
    • 50249093316 scopus 로고    scopus 로고
    • Radial solutions and phase separation in a system of two coupled schrödinger equations
    • Wei J., Weth T.: Radial solutions and phase separation in a system of two coupled schrödinger equations. Arch. Rational. Mech. Anal. 190(1), 83-106 (2008).
    • (2008) Arch. Rational. Mech. Anal. , vol.190 , Issue.1 , pp. 83-106
    • Wei, J.1    Weth, T.2


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