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arXiv:quant-ph/9801001 · Modern Physics Letters B

Note on the Role of Dimensionality in the Stability of a Confined Condensed Bose Gas: Reply to a Comment

Luca Salasnich

Published Jul 10, 1998• 9 citations
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Abstract

In this letter we reply to a comment of Brosens, Devreese and Lemmens (quant-ph/9712046) on our paper (Mod. Phys. Lett.B11, 1249 (1997)) that analyzes the role of dimensionality in the stability of a confined condensed Bose gas. We generalize our previous results and discuss the e ect of a short range attractive interaction between the bosons.

DOI
10.1142/s0217984998000767

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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Oct 1, 1997•14 citations
In this letter we reply to a comment of Brosens, Devreese and Lemmens (quant-ph/9712046) on our paper (Mod. Phys. Lett.B11, 1249 (1997)) that analyzes the role of dimensionality in the stability of a confined condensed Bose gas. We generalize our previous results and discuss the e ect of a short range attractive interaction between the bosons.
We study analytically the ground-state stability of a Bose–Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of repulsive interaction the BEC mean radius grows by increasing the number of bosons, instead in the case of attractive interaction the BEC mean radius decreases by increasing the number of bosons: to zero if the system is one-dimensional and to a constant minimum radius, with a maximum number of bosons, if the system is three-dimensional.