31 citations · 104 across the 18 of their papers we have counts for
4 papers · 1 filter
Trial states for Bose gases: singular scalings and non-integrable potentials
Alessandro Olgiati
We review two results in which trial states for bosonic Hamiltonians were discussed. The problem of finding a trial state for a system with a hard-core potential in the Gross-Pitae…
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 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…
Reduced fluctuations for bosons in a double well
Alessandro Olgiati
We review two recent results on the ground state properties of bosonic systems trapped by a double well external potential. In the limit of large population and large separation be…