We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic
Gross‐Pitaevskii hierarchy in. One of the main tools in our analysis is the quantum de Finetti …

We derive the defocusing cubic Gross–Pitaevskii (GP) hierarchy in dimension d= 3, from an
N-body Schrödinger equation describing a gas of interacting bosons in the GP scaling, in …

We derive the 3D energy critical quintic NLS from quantum many-body dynamics with 3-
body interaction in the T^ 3 T 3 (periodic) setting. Due to the known complexity of the energy …

In this paper, we will obtain a rigorous derivation of the defocusing cubic nonlinear
Schrödinger equation on the three-dimensional torus T 3 from the many-body limit of …

In this paper, we study the mean field quantum fluctuation dynamics for a system of infinitely
many fermions with delta pair interactions in the vicinity of an equilibrium solution (the Fermi …

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 …

In this paper, we study the dynamics of a system of infinitely many fermions in dimensions
d≥ 3 near thermal equilibrium and prove scattering in the case of small perturbation around …

We consider the cubic and quintic nonlinear Schrödinger equations (NLS) under the R d
and T d energy-supercritical setting. Via a newly developed unified scheme, we prove the …

In this work, we study the Gross–Pitaevskii hierarchy on general—rational and irrational—
rectangular tori of dimensions two and three. This is a system of infinitely many linear partial …

We consider the $\mathbb {T}^{4} $ cubic nonlinear Schrödinger equation (NLS), which is
energy-critical. We study the unconditional uniqueness of solutions to the NLS via the cubic …