Axialisation, cooling and quenching of ions in a Penning trap |
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Authors: | C Lichtenberg G Marx G Tommaseo PN Ghosh G Werth |
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Institution: | Institut für Physik, Universit?t Augsburg, Memminger Str. 6, 86135 Augsburg, Germany, DE Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany, DE
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Abstract: | On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur
in a one-dimensional harmonic potential. We examine this situation by drawing analogies to bosons in a two-dimensional box,
where the thermodynamic limit is well-defined. We show that in both systems although the ground state populations show sharp
onsets at the critical temperature, the behaviour of the specific heat is analytic, which proves the absence of a phase transition
in these systems.
Received: 17 February 1997 / Revised: 3 September 1997 / Accepted: 13 October 1997 |
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Keywords: | PACS 03 75 Fi Phase coherent atomic ensemble (Bose condensation) - 05 30 Jp Boson systems - 64 60 -i General studies of phase transitions |
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