4 citations · 4 across the 7 of their papers we have counts for
7 papers
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 exp…
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…
Lower bounds on the energy of the Bose gas
Søren Fournais, Theotime Girardot, Lukas Junge +2
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the b…
Quantitative Magnetic Isoperimetric Inequality
Rohan Ghanta, Lukas Junge, Leo Morin
In 1996 Erdoes showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on t…