19 citations · 80 across the 15 of their papers we have counts for
4 papers · 1 filter
Energy expansions for dilute Bose gases from local condensation results: a review of known results
Giulia Basti, Cristina Caraci, Serena Cenatiempo
Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even…
Ground state energy of a Bose gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We review some rigorous estimates for the ground state energy of dilute Bose gases. We start with Dyson's upper bound, which provides the correct leading order asymptotics for hard…
A second order upper bound on the ground state energy of a Bose gas beyond the Gross-Pitaevskii regime
Giulia Basti
We consider a system of bosons in a unitary box in the grand-canonical setting interacting through a potential with scattering length scaling as Thi…
A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati +2
We prove an upper bound for the ground state energy of a Bose gas consisting of hard spheres with radius , moving in the three-dimensional unit torus . Our e…