2 papers
math-ph2024
Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators
Christian Brennecke, Wilhelm Kroschinsky
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…
math-ph2024
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
Christian Brennecke, Morris Brooks, Cristina Caraci +1
We consider dilute Bose gases on the three dimensional unit torus that interact through a pair potential with scattering length of order , for some . For the range $…