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- W2116536645 abstract "We use a variational ansatz to derive a closed dynamics involving only the monopole and quadrupole shape degrees of freedom of the condensate, which is a generalization of the work of Perez-Garcia and collaborators. Taking the limit of small oscillations around the equilibrium configuration, we calculate the excitation energies of the low-lying even-parity states of the condensate. In this limit, the diagonal and non-diagonal quadrupole degrees of freedom are decoupled. For the diagonal elements, our results agree exactly with those of Perez-Garcia and collaborators. For the non-diagonal elements we obtain analytical expressions for the excitation energies which are valid for any trap geometry and any particle number and that agree, in the Thomas-Fermi limit and for axially symmetric traps, with Stringari's results. For negative scattering lengths we show that the collapsing state is the breathing mode, independent of the trap geometry." @default.
- W2116536645 created "2016-06-24" @default.
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- W2116536645 date "2000-09-14" @default.
- W2116536645 modified "2023-09-25" @default.
- W2116536645 title "Monopole and quadrupole shape oscillations of a Bose-Einstein condensate" @default.
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- W2116536645 doi "https://doi.org/10.1088/0953-4075/33/19/308" @default.
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