5 citations · 5 across the 4 of their papers we have counts for
5 papers
Lee-Huang-Yang Energy for Dilute Bose Gases: an Upper Bound for General Potentials
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We establish an upper bound for the ground state energy density of a dilute Bose gas, interacting through a general short-range, repulsive potential. To reach this goal, we extend…
A Note on the Construction of Trial States for the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin
We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the gr…
The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound
Giulia Basti, Morris Brooks, Serena Cenatiempo +2
We consider a quantum gas consisting of hard spheres with radius , obeying bosonic statistics and moving in the box with periodic boundary conditions…
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin +1
We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted…
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
Christian Brennecke, Morris Brooks, Cristina Caraci +1
We consider dilute Bose gases on the three dimensional unit torus that interact through a pair potential with scattering length of order , for some . For the range $…