3 papers
math-ph2026
A second order upper bound to the free energy of the two dimensional Bose gas
Florian Haberberger, Lukas Junge
We consider a two-dimensional Bose gas in the dilute regime where is small. For temperatures below the Berezinskii-Kosterlitz-Thouless critical temperature, we derive an ex…
math-ph2026
Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
Lukas Junge
We prove a Neumann localization inequality for the Laplacian that includes a spectral gap. This result is obtained by partitioning a cube into overlapping families of subcubes and…
math-ph2025
Derivation of Hartree theory for two-dimensional attractive Bose gases in almost Gross-Pitaevskii regime
Lukas Junge, François Louis Antoine Visconti
We study the ground state energy of trapped two-dimensional Bose gases with mean-field type interactions that can be attractive. We prove the stability of second kind of the many-b…