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math-ph2026★ 3 cited
Interacting loop ensembles and Bose gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field…
math-ph2026
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 condition…
math-ph2025
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…