5 papers · 1 filter
On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
Lukas Reichmann, Arnaud Triay
We consider a Bose gas on the three-dimensional torus in the Gross--Pitaevskii regime and explain how to remove the assumptions of radiality and compact support on the interaction…
Derivation of the 3D quintic Gross--Pitaevskii equation
Arnaud Triay, François L. A. Visconti
We study the time evolution of Bose--Einstein condensates with three-body interactions in the Gross--Pitaevskii regime. We show that Bose--Einstein condensation is preserved under…
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
Jonas Lampart, Arnaud Triay
We study a dilute system of interacting bosons coupled to an impurity particle via a pair potential in the Gross--Pitaevskii regime. We derive an expansion of the ground state…
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…
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Florian Haberberger, Christian Hainzl, Benjamin Schlein +1
We consider a Bose gas at density , interacting through a repulsive potential with scattering length . We prove an upper bound f…