We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit
Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove …

We consider a gas of N bosons with interactions in the mean-field scaling regime. We review
a recent proof of the asymptotic expansion of its spectrum and eigenstates and two …

We slightly extend prior results about the derivation of the Maxwell–Schrödinger equations
from the bosonic Pauli–Fierz Hamiltonian. More concretely, we show that the findings from …

We study the time evolution of the Fröhlich Hamiltonian in a mean-field limit in which many
particles weakly couple to the quantized phonon field. Assuming that the particles are …

We consider the quasi-classical limit of Nelson-type regularized polaron models describing
a particle interacting with a quantized bosonic field. We break translation-invariance by …

We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite
graph at positive temperature. We scale the interaction with the inverse temperature …

We consider the time evolution of the renormalized Nelson model, which describes $ N $
bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles …