344 citations · 2.6k across the 88 of their papers we have counts for
97 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…
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…
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime
Luca Fresta, Marcello Porta, Benjamin Schlein
We give a rigorous derivation of the Hartree equation for the many-body dynamics of pseudo-relativistic Fermi systems at high density , on arbitrarily large domains,…
Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
Cristina Caraci, Alessandro Olgiati, Diane Saint Aubin +1
For a translation invariant system of bosons in the Gross-Pitaevskii regime, we establish a precise bound for the ground state energy . While the leading, order , contr…
Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
Cristina Caraci, Jakob Oldenburg, Benjamin Schlein
We consider the evolution of a gas of bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact th…
Upper bound for the ground state energy of a dilute Bose gas of hard spheres
Giulia Basti, Serena Cenatiempo, Alessandro Giuliani +3
We consider a gas of bosons interacting through a hard-sphere potential with radius in the thermodynamic limit. We derive a simple upper bound for the ground state energ…