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Excited stationary states of trapped Bose-Einstein condensates

John A. Vaccaro·Ole Steuernagel·Ben Lorimer
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Abstract

We investigate the excited stationary states of Bose-Einstein condensates trapped in harmonic potentials. We derive simple analytical approximations of the first few eigenstates of the associated time-independent one-dimensional Gross-Pitaevskii equation and their energies. Our results are excited state generalizations of the Thomas-Fermi approximation of the ground state.

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John A. Vaccaro, Ole Steuernagel, Ben Lorimer. 2000-07-13. Excited stationary states of trapped Bose-Einstein condensates. https://arxiv.org/abs/cond-mat/0007233

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