42 citations · 115 across the 18 of their papers we have counts for
3 papers · 1 filter
Bogoliubov Theory in the Gross-Pitaevskii Limit: a Simplified Approach
Christian Hainzl, Benjamin Schlein, Arnaud Triay
We show that Bogoliubov theory correctly predicts the low-energy spectral properties of Bose gases in the Gross-Pitaevskii regime. We recover recent results from \cite{BBCS,BBCS4}.…
Dilute Bose gas with three-body interaction: recent results and open questions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We review our recent study on the ground state energy of dilute Bose gases with three-body interactions. The main feature of our results is the emergence of the 3D energy-critical…
Ground state energy of the low density Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is…