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Bose-Einstein Condensation

  1. Mar 22, 2007 #1
    Is it possible to have Bose-Einstein condensation in two dimensions? Why?
  2. jcsd
  3. Mar 22, 2007 #2


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    According to the Mermin-Wagner theorem, not under equilibrium conditions.
  4. Apr 2, 2007 #3
    Well, in the case of a non-interacting (ideal) Bosonic gas in a 2 dimensional harmonic oscillator you can determine quite easily at which temperature you would have a macroscopic occupation of the ground state. And indeed, this happens for T>0. So, well, this can be viewed as a B.E.C. For the occupation of the ground state you get something like:

    [tex]N_0 = \left (1-\left (\frac{T}{T_c}\right )^2\right )N[/tex]

    Where [tex]N_0[/tex] is the number of the particles in the ground state, and N the total number of particles.

    Don't know what this Mermin-Wagner theorem says about it. To be honest, never even heared of that theorem :)
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