We study the time-evolution of initially trapped Bose–Einstein condensates in the Gross–
Pitaevskii regime. We show that condensation is preserved by the many-body evolution and …

How and why could an interacting system of many particles be described as if all particles
were independent and identically distributed? This question is at least as old as statistical …

We consider a system of N interacting bosons in the mean-field scaling regime and construct
corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm …

We consider a homogeneous Bose gas in the Gross–Pitaevskii limit at temperatures that are
comparable to the critical temperature for Bose–Einstein condensation in the ideal gas. Our …

In this paper, we introduce a novel method for deriving higher order corrections to the mean-
field description of the dynamics of interacting bosons. More precisely, we consider the …

We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-
Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially …

We study the norm approximation to the Schrödinger dynamics of N bosons in R d (d= 1, 2)
with an interaction potential of the form N d β− 1 w (N β (x− y)). Here we are interested in the …

The success of the Gross–Pitaevskii and Bogoliubov theories in the description of large
systems of interacting bosons led to a substantial effort into rigorously deriving these …

We study the ground-state energy of N attractive bosons in the plane. The interaction is
scaled for the gas to be dilute so that the corresponding mean-field problem is a local non …

We consider the spinless Pauli--Fierz Hamiltonian which describes a quantum system of
nonrelativistic identical particles coupled to the quantized electromagnetic field. We study its …