4 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 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…