The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime

The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime

We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Ce...

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Veröffentlicht in:arXiv.org 2020-03
1. Verfasser: Boccato, Chiara
Format: Artikel
Sprache:eng
Schlagworte:
Bosons
Electrons
Excitation spectra
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Beschreibung
Zusammenfassung:We consider a gas of interacting bosons trapped in a box of side length one in the Gross-Pitaevskii limit. We review the proof of the validity of Bogoliubov's prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.
ISSN:2331-8422
DOI:10.48550/arxiv.2001.00497