Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime
We consider systems of $N$ bosons in $\mathbb{R}^3$, trapped by an external potential. The interaction is repulsive and has a scattering length of the order $N^{-1}$ (Gross-Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum up to errors that vanish in the...
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| Sprache: | eng |
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| Zusammenfassung: | We consider systems of $N$ bosons in $\mathbb{R}^3$, trapped by an external
potential. The interaction is repulsive and has a scattering length of the
order $N^{-1}$ (Gross-Pitaevskii regime). We determine the ground state energy
and the low-energy excitation spectrum up to errors that vanish in the limit
$N\to \infty$. |
|---|---|
| DOI: | 10.48550/arxiv.2108.11129 |