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Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction

Zuhan Liu|Zhongxue Lu
대한수학회 (The Korean Mathematical Society)|2013.09|대한수학회보 (Bulletin of the KMS)|제50권 제5호|pp. 1441-1450

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키워드

ground stateBose-Einstein condensatetwo-componentinternal atomic Josephson junction
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초록

In this paper, we consider two-component Bose-Einstein con- densates with an internal atomic Josephson junction in the general case, i.e., 0 < p < 2 (d−2)+ . We prove existence and uniqueness results for the ground states, and obtain some properties of the ground states with large parameters.

Abstract

In this paper, we consider two-component Bose-Einstein con- densates with an internal atomic Josephson junction in the general case, i.e., 0 < p < 2 (d−2)+ . We prove existence and uniqueness results for the ground states, and obtain some properties of the ground states with large parameters.

참고문헌 (10)

  1. W. Bao, "Ground states and dynamics of multicomponent Bose-Einstein condensates", Multiscale Model. Simul, 2(2), pp.210~236 (2004)
  2. W. Bao, "Ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction", East Asia Journal of Applied Mathematics, 1(1), pp.49~81 (2011)
  3. S. M. Chang, "Segregated nodal domains of two- dimensional multispecies Bose-Einstein condensates", Phys. D, 196(3), pp.341~361 (2004)
  4. S. M. Chang, "Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate", J. Comput. Phys, 202(1), pp.367~390 (2005)
  5. D. Jaksch, "Uniting Bose-Einstein condensate in optical resonators", Phys. Rev. Lett, 86(21), pp.4733~4736 (2001)
  6. E. H. Lieb, "Bosons in a trap: a rigorous derivation of the Gross-Pitaevskii energy functional", Phy. Rev. A, 61 (2000)
  7. E. H. Lieb, "Ground state energy of the two-component charged Bose gas", Comm. Math. Phys, 252(1), pp.485~534 (2004)
  8. L. P. Pitaevskii, "Bose-Einstein Condensation" (2003), Clarendon Press
  9. J. Williams, "Nonlinear Josephson- type oscillations of a driven two-component Bose-Einstein condensate", Phys. Rev. A, 59, pp.31~34 (1999)
  10. Y. Zhang, "Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation", Phys. D, 234(1), pp.49~69 (2007)

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