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Bose-Einstein condensation in shallow traps

J. -P. Martikainen
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Abstract

In this paper we study the properties of Bose-Einstein condensates in shallow traps. We discuss the case of a Gaussian potential, but many of our results apply also to the traps having a small quadratic anharmonicity. We show the errors introduced when a Gaussian potential is approximated with a parabolic potential, these errors can be quite large for realistic optical trap parameter values. We study the behavior of the condensate fraction as a function of trap depth and temperature and calculate the chemical potential of the condensate in a Gaussian trap. Finally we calculate the frequencies of the collective excitations in shallow spherically symmetric and 1D traps.

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J. -P. Martikainen. 2000-08-02. Bose-Einstein condensation in shallow traps. https://doi.org/10.1103/physreva.63.043602

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