5 papers · 1 filter
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…
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…
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…
The free energy of dilute Bose gases at low temperatures interacting via strong potentials
S. Fournais, L. Junge, T. Girardot +3
We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang…
Ground state energy of a dilute Bose gas with three-body hard-core interactions
Lukas Junge, François Louis Antoine Visconti
We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at th…