Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators

We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-dependent Gross-Pitaevskii equation. Like the...

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Bibliographic Details
Main Authors: Christian Brennecke, Wilhelm Kroschinsky
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S205050942510073X/type/journal_article
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