A new Neumann localization inequality with spectral gap is proven via overlapping subcubes and used to propagate strong Bose-Einstein condensation estimates in the dilute gas to larger length scales.
Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gases
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abstract
We propose a simplified localization method for Bose gases, based on a Poincare-type inequality, which leads to a new derivation of Bose--Einstein condensation for dilute Bose gases beyond the Gross--Pitaevskii scaling regime.
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math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
A new Neumann localization inequality with spectral gap is proven via overlapping subcubes and used to propagate strong Bose-Einstein condensation estimates in the dilute gas to larger length scales.