42 citations · 115 across the 18 of their papers we have counts for
18 papers
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…
Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
Jonas Lampart, Arnaud Triay
We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we…
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 fo…
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…