The Role of Dimensionality in the Stability of a Confined Condensed Bose Gas
نویسنده
چکیده
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 minimum radius, with a maximum number of bosons, if the system is three–dimensional. PACS Numbers: 03.75.Fi, 05.30.Jp
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Reply to a Comment on ”the Role of Dimensionality in the Stability of a Confined Condensed Bose Gas”
As pointed out by the authors of the comment quant-ph/9712046, in our paper quant-ph/9712030 we studied in detail the metastability of a Bose– Einstein Condensate (BEC) confined in an harmonic trap with zero–range interaction. As well known, the BEC with attractive zero–range interaction is not stable but can be metastable. In our paper we analyzed the role of dimensionality for the metastabili...
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تاریخ انتشار 1997