Bose gases in the Gross-Pitaevskii limit: a survey of some rigorous results
Benjamin Schlein
TL;DR
This paper reviews rigorous mathematical results on Bose gases in the Gross-Pitaevskii limit, covering classical findings on energy and condensation, as well as recent advances using Bogoliubov theory.
Contribution
It provides a comprehensive survey of both classical and recent rigorous results on Bose gases in the Gross-Pitaevskii regime.
Findings
Classical results on ground state energy and Bose-Einstein condensation
Recent progress using a rigorous version of Bogoliubov theory
Overview of mathematical techniques in Bose gas analysis
Abstract
We review some mathematical work on the Bose gas in the Gross-Pitaevskii regime. We start with the classical results by Lieb, Seiringer and Yngvason on the ground state energy and by Lieb and Seiringer on the existence of Bose-Einstein condensation. Afterwards, we discuss some more recent progress, based on a rigorous version of Bogoliubov theory.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Strong Light-Matter Interactions · Quantum and electron transport phenomena