3 papers
math-ph2025
Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime
Nils Behrmann, Christian Brennecke, Simone Rademacher
We consider trapped Bose gases in three dimensions in the Gross-Pitaevskii regime whose low energy states are well known to exhibit Bose-Einstein condensation. That is, the majorit…
math-ph2025
Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature
Christian Brennecke, Changji Xu, Horng-Tzer Yau
We prove that the two point correlation matrix of the Sherrington-Kirkpatrick model has the…
math-ph2024
Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
Christian Brennecke, Jinyeop Lee, Phan Thà nh Nam
We consider a translation-invariant system of bosons in that interact through a repulsive two-body potential with scattering length of order in the li…