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 the asymptotic behavior of a system of multi-component trapped bosons, when
the total particle number N becomes large. In the dilute regime, when the interaction …

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 …

An exactly solvable model of a trapped interacting Bose–Einstein condensate (BEC)
coupled in the dipole approximation to a quantized light mode in a cavity is presented. The …

We prove local and global well–posedness results for the Gabitov–Turitsyn or dispersion
managed nonlinear Schrödinger equation with a large class of nonlinearities and arbitrary …

The derivation of the Hartree equation from many-body systems of Bosons in the mean field
limit has been very intensively studied in the last couple of years. However, very few results …

We derive the equations for the non-linear effective dynamics of a so called pseudo-spinor
Bose-Einstein condensate, which emerges from the linear many-body Schrödinger equation …

We consider a mean-field model to describe the dynamics of N 1 bosons of species one and
N 2 bosons of species two in the limit as N 1 and N 2 go to infinity. We embed this model into …

A mixture of two kinds of identical bosons, species 1 with N 1 bosons of mass m 1 and
species 2 with N 2 bosons of mass m 2, held in a harmonic potential of frequency ω and …

We study the ground state of a large bosonic system trapped in a symmetric double-well
potential, letting the distance between the two wells increase to infinity with the number of …