13 citations · 13 across the 3 of their papers we have counts for
8 papers
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…
The Hartree functional in a double well
Alessandro Olgiati, Nicolas Rougerie
We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are fare apart and the potential barrier is high, w…
Stability of the Laughlin phase against long-range interactions
Alessandro Olgiati, Nicolas Rougerie
A natural, "perturbative", problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin…
On some rigorous aspects of fragmented condensation
Daniele Dimonte, Marco Falconi, Alessandro Olgiati
In this paper we discuss some aspects of fragmented condensation from a mathematical perspective. We first propose a simple way of characterizing finite fragmentation. Then, inspir…
Ground state energy of mixture of Bose gases
Alessandro Michelangeli, Phan Thành Nam, Alessandro Olgiati
We consider the asymptotic behavior of a system of multi-component trapped bosons, when the total particle number becomes large. In the dilute regime, when the interaction pote…