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Bogoliubov theory in the Gross–Pitaevskii limit

2019; Mittag-Leffler Institute; Volume: 222; Issue: 2 Linguagem: Inglês

10.4310/acta.2019.v222.n2.a1

1871-2509

Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein,

Strong Light-Matter Interactions

We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of the order N -1 (Gross-Pitaevskii regime).We determine the ground state energy and the lowenergy excitation spectrum, up to errors vanishing as N → ∞.Our results confirm Bogoliubov's predictions.