Laser Physics

, Volume 20, Issue 3, pp 671–677 | Cite as

Bose-Einstein condensate in a double well potential in the vicinity of a critical point

  • B. OleśEmail author
  • P. Ziń
  • J. Chwedeńczuk
  • K. Sacha
  • M. Trippenbach
Physics of Cold Trapped Atoms


We consider a Bose-Einstein condensate with an attractive particle interaction in a symmetric double well potential. It is known that in the mean field description a symmetric solution for the condensate wavefunction becomes unstable when the interactions are stronger than some critical value. We analyze the system around the critical point applying the number conserving Bogoliubov theory and exact diagonalization of the two mode hamiltonian. It allows for estimation of the density fluctuations in the system. Fluctuations of the order parameter, which is defined in the mean field description, turn out to be maximal at the critical point.


Laser Physics Density Fluctuation Einstein Condensate Field Description Exact Diagonalization 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • B. Oleś
    • 1
    Email author
  • P. Ziń
    • 2
  • J. Chwedeńczuk
    • 3
    • 4
  • K. Sacha
    • 1
  • M. Trippenbach
    • 2
    • 3
  1. 1.Marian Smoluchowski Institute of Physics and Mark Kac Complex Systems Research CentreJagicllonian UniversityKrakówPoland
  2. 2.Soltan Institute for Nuclear StudiesWarsawPoland
  3. 3.Institute for Theoretical PhysicsWarsaw UniversityWarsawPoland
  4. 4.BEC-CNR-INFM and Dipartimento di FisicaUniversita di TrentoPovoItaly

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