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 order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N tends to infinity. Our results confirm Bogoliubov’s predictions.

Bogoliubov theory in the Gross-Pitaevskii limit / C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein. - In: ACTA MATHEMATICA. - ISSN 0001-5962. - 222:2(2019), pp. 219-335. [10.4310/ACTA.2019.v222.n2.a1]

Bogoliubov theory in the Gross-Pitaevskii limit

C. Boccato;
2019

Abstract

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 order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N tends to infinity. Our results confirm Bogoliubov’s predictions.
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/859678
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