Phys. Rev. A 54, 656–660 (1996)Bose-Einstein condensation of a finite number of particles trapped in one or three dimensionsReceived 16 January 1996; published in the issue dated July 1996 Bose-Einstein condensation (BEC) of an ideal gas is investigated for a finite number of particles. In three dimensions, we find a transition temperature which is lower than in the thermodynamic limit. Lowering the dimension increases the transition temperature and is therefore favorable for BEC. This is in contrast to the standard result obtained in the thermodynamic limit which states that BEC is not possible in, e.g., a one-dimensional (1D) harmonic potential. As a result, 1D atom traps, such as radially tightly confining magnetic traps or optical dipole traps, are promising for studying BEC. © 1996 The American Physical Society. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.54.656
DOI:
10.1103/PhysRevA.54.656
PACS:
03.75.Fi, 05.30.Jp, 64.60.-i, 32.80.Pj
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