A note on the validity of Bogoliubov correction to mean field dynamics
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Abstract
We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states.
Publishing Year
Date Published
2017-11-01
Journal Title
Journal de Mathématiques Pures et Appliquées
Publisher
Elsevier
Volume
108
Issue
5
Page
662 - 688
ISSN
IST-REx-ID
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Open Access
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