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Physics Letters A

On Bose-Einstein condensation in harmonic traps

Siegfried Großmann, Martin Holthaus

Published Nov 1, 1995• 237 citations
Publisher
DOI
10.1016/0375-9601(95)00766-v

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Recent experiments have shown that it is possible to create an in-plane harmonic potential trap for a two-dimensional (2D) gas of exciton polaritons in a microcavity structure, and evidence has been reported of Bose-Einstein condensation of polaritons accumulated in this type of trap. We present here the theory of Bose-Einstein condensation (BEC) and superfluidity of the exciton polaritons in a harmonic potential trap. Along the way, we determine a general method for defining the superfluid fraction in a 2D trap, in terms of angular momentum representation. We show that in the continuum limit, as the trap becomes shallower, the superfluid fraction approaches the 2D Kosterlitz--Thouless limit, while the condensate fraction approaches zero, as expected.